{"id":34,"date":"2023-12-25T12:11:36","date_gmt":"2023-12-25T12:11:36","guid":{"rendered":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/?page_id=34"},"modified":"2023-12-25T12:11:36","modified_gmt":"2023-12-25T12:11:36","slug":"quantum-mechanics","status":"publish","type":"page","link":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/?page_id=34","title":{"rendered":"Quantum Mechanics"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.23&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;5px|||||&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][et_pb_row _builder_version=&#8221;4.23&#8243; _module_preset=&#8221;default&#8221; border_width_bottom=&#8221;1px&#8221; border_color_bottom=&#8221;#e2e2e2&#8243; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.23&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][et_pb_post_title meta=&#8221;off&#8221; featured_image=&#8221;off&#8221; _builder_version=&#8221;4.23&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][\/et_pb_post_title][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;4.23&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.23&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][et_pb_text _builder_version=&#8221;4.23&#8243; _module_preset=&#8221;default&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221; sticky_enabled=&#8221;0&#8243;]<\/p>\n<h2 id=\"quantum-mechanics-1-for-physicists-phy-1067\" style=\"box-sizing: border-box; clear: both; font-family: Roboto, Georgia, serif; line-height: 1.3; color: #000000; font-size: 30px; margin: 25px 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">Quantum Mechanics 1 for Physicists, PHY-106.7<\/h2>\n<h4 style=\"box-sizing: border-box; clear: both; font-family: Roboto, Georgia, serif; line-height: 1.3; color: #000000; font-size: 20px; margin: 25px 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\"><em style=\"box-sizing: border-box;\">Course outline:<\/em><\/h4>\n<p style=\"box-sizing: border-box; margin: 0px 0px 24px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">August-December (2023)<span>\u00a0<\/span><a href=\"https:\/\/moldis-group.github.io\/teaching\/2023_QM1.pdf\" target=\"_blank\" rel=\"noopener\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">2023_QM1.pdf<\/a><br style=\"box-sizing: border-box;\" \/>August-December (2022)<span>\u00a0<\/span><a href=\"https:\/\/moldis-group.github.io\/teaching\/2022_QM1.pdf\" target=\"_blank\" rel=\"noopener\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">2022_QM1.pdf<\/a><\/p>\n<h4 id=\"references\" style=\"box-sizing: border-box; clear: both; font-family: Roboto, Georgia, serif; line-height: 1.3; color: #000000; font-size: 20px; margin: 25px 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\"><em style=\"box-sizing: border-box;\">References:<\/em><\/h4>\n<ol style=\"box-sizing: border-box; margin: 16px 0px; padding: 0px 0px 0px 40px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Principle of Quantum Mechanics<\/em>, R. Shankar, Springer (Edition-2, Sixth Indian Reprint 2015).<\/li>\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Modern Quantum Mechanics<\/em>, J. J. Sakurai, J. J. Napolitano, Cambridge University Press (Edition-3, 2021).<\/li>\n<\/ol>\n<p style=\"box-sizing: border-box; margin: 0px 0px 24px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">We may include some content from the following texts in the following years.<\/p>\n<ol style=\"box-sizing: border-box; margin: 16px 0px; padding: 0px 0px 0px 40px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Quantum Physics<\/em>, Michel Le Bellac, Cambridge University Press (Edition-1, 2006).<\/li>\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Quantum Mechanics: Fundamentals<\/em>, Kurt Gottfried Tung-Mow Yan, Springer (Edition-2, 2003).<\/li>\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Lectures on Quantum Mechanics<\/em>, Steven Weinberg, Cambridge University Press (Edition-2, 2015).<\/li>\n<\/ol>\n<h4 id=\"notes-on-selected-topics-for-self-study\" style=\"box-sizing: border-box; clear: both; font-family: Roboto, Georgia, serif; line-height: 1.3; color: #000000; font-size: 20px; margin: 25px 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\"><em style=\"box-sizing: border-box;\">Notes on selected topics for self-study:<\/em><\/h4>\n<p style=\"box-sizing: border-box; margin: 0px 0px 24px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">You can read these notes alongside the section in the reference textbook on the right side. This section will be updated as the course progresses.<\/p>\n<ol style=\"box-sizing: border-box; margin: 16px 0px; padding: 0px 0px 0px 40px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/moldis-group.github.io\/teaching\/QM2022_Sakurai_Notes\/Notes_on_SelectedTopics_in_QM_for_Sakurai_00_LambertWfunction.pdf\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Application of Lambert-W function to derive Wien\u2019s displacement law<\/a>,<span>\u00a0<\/span><em style=\"box-sizing: border-box;\">Preliminary topics (Sakurai)<\/em><\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/moldis-group.github.io\/teaching\/QM2022_Sakurai_Notes\/Notes_on_SelectedTopics_in_QM_for_Sakurai_01.pdf\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Paradoxes of a classical electron<\/a>, 1.1:<span>\u00a0<\/span><em style=\"box-sizing: border-box;\">The Stern-Gerlach Experiment (Sakurai)<br style=\"box-sizing: border-box;\" \/><\/em><\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/moldis-group.github.io\/teaching\/QM2022_Sakurai_Notes\/Notes_on_SelectedTopics_in_QM_for_Sakurai_02_LVS.pdf\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Linear vector space and Hilbert space<\/a>, 1.2:<span>\u00a0<\/span><em style=\"box-sizing: border-box;\">Kets, Bras and Operators (Sakurai)<br style=\"box-sizing: border-box;\" \/><\/em><\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/moldis-group.github.io\/teaching\/QM2022_Sakurai_Notes\/Notes_on_SelectedTopics_in_QM_for_Sakurai_03_canonical_transformation.pdf\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Canonical transformation<\/a>, 1.6:<span>\u00a0<\/span><em style=\"box-sizing: border-box;\">Position, Momentum, and Translation (Sakurai)<br style=\"box-sizing: border-box;\" \/><\/em><\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/moldis-group.github.io\/teaching\/QM2022_Sakurai_Notes\/Notes_on_SelectedTopics_in_QM_for_Sakurai_04_degeneracy_theorem.pdf\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Degeneracy theorem and Wronskian<\/a>, 2.4:<span>\u00a0<\/span><em style=\"box-sizing: border-box;\">Schroedinger\u2019s Wave Equation (Sakurai)<br style=\"box-sizing: border-box;\" \/><\/em><\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/moldis-group.github.io\/teaching\/QM2022_Sakurai_Notes\/Notes_on_SelectedTopics_in_QM_for_Sakurai_05_PIB_series_solution.pdf\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Series solution for particle-in-a-box<\/a>, 2.5:<span>\u00a0<\/span><em style=\"box-sizing: border-box;\">Elementary Solutions to Schroedinger\u2019s Wave Equation and Appendix B (Sakurai)<br style=\"box-sizing: border-box;\" \/><\/em><\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/moldis-group.github.io\/teaching\/QM2022_Sakurai_Notes\/Notes_on_SelectedTopics_in_QM_for_Sakurai_06_WavefunctionProperties.pdf\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Properties of a physically acceptable wavefunction<\/a>, 2.5:<span>\u00a0<\/span><em style=\"box-sizing: border-box;\">Elementary Solutions to Schroedinger\u2019s Wave Equation (Sakurai)<br style=\"box-sizing: border-box;\" \/><\/em><\/li>\n<\/ol>\n<h4 id=\"what-are-some-good-text-books-to-consult-for-qm-1\" style=\"box-sizing: border-box; clear: both; font-family: Roboto, Georgia, serif; line-height: 1.3; color: #000000; font-size: 20px; margin: 25px 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\"><em style=\"box-sizing: border-box;\">What are some excellent textbooks to consult for QM-1?:<\/em><\/h4>\n<p style=\"box-sizing: border-box; margin: 0px 0px 24px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">Several books discuss specific topics remarkably well. Here is a short list.<\/p>\n<ol style=\"box-sizing: border-box; margin: 16px 0px; padding: 0px 0px 0px 40px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Introductory Quantum Mechanics<\/em>, Richard L. Liboff, Pearson (Edition-4, 2002).<\/li>\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">A Modern Approach to Quantum Mechanics<\/em>, John S. Townsend, Viva (First Indian Edition, 2010, Reprinted 2017).<\/li>\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Quantum Mechanics<\/em>, David McIntyre, Corine A. Manogue, Janet Tate, Pearson (First Indian Edition, 2016).<\/li>\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Quantum Mechanics: Theory and Experiment<\/em>, Mark Beck, Oxford University Press (Edition-1, 2012).<\/li>\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Introduction to Quantum Mechanics<\/em>, D. J. Griffiths, D. F. Schroeter, Cambridge University Press (Edition-3, 2018).<\/li>\n<\/ol>\n<p style=\"box-sizing: border-box; margin: 0px 0px 24px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">Further, there is a long list of classic texts that I will list some other time.<\/p>\n<h4 id=\"optional-reading-on-measurement-entanglement-and-related-topics\" style=\"box-sizing: border-box; clear: both; font-family: Roboto, Georgia, serif; line-height: 1.3; color: #000000; font-size: 20px; margin: 25px 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\"><em style=\"box-sizing: border-box;\">Optional reading on measurement, entanglement, and related topics:<\/em><\/h4>\n<p style=\"box-sizing: border-box; margin: 0px 0px 24px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">We will not discuss these topics in this course, but here is a list of references for those interested in getting some idea of these topics.<\/p>\n<ol style=\"box-sizing: border-box; margin: 16px 0px; padding: 0px 0px 0px 40px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">Quantum Physics: A First Encounter<\/em>, Valerio Scarani, Oxford University Press (Edition-1, 2006).<\/li>\n<li style=\"box-sizing: border-box;\"><em style=\"box-sizing: border-box;\">A Short Introduction to Quantum Information and Quantum Computation<\/em>, Michel Le Bellac, Cambridge University Press (Edition-1, 2006).<\/li>\n<\/ol>\n<h4 id=\"optional-reading-of-interesting-articles-and-reviews\" style=\"box-sizing: border-box; clear: both; font-family: Roboto, Georgia, serif; line-height: 1.3; color: #000000; font-size: 20px; margin: 25px 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\"><em style=\"box-sizing: border-box;\">Optional reading of interesting articles and reviews:<\/em><\/h4>\n<p style=\"box-sizing: border-box; margin: 0px 0px 24px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">This list is maintained (and will be regularly updated) to collect interesting articles that can be studied\/discussed during the QM-1 course. Feel free to go through them. If you have any recommendations for this section, please send them to ramakrishnan@tifrh.res.in<\/p>\n<ol style=\"box-sizing: border-box; margin: 16px 0px; padding: 0px 0px 0px 40px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/doi.org\/10.1088\/2058-7058\/3\/8\/26\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Against Measurement<\/a>, John Bell, Physics World, Volume 3, Number 8 (1990) pages 33-40.<\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/doi.org\/10.1016\/0378-4371(88)90105-7\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Ten theorems about quantum mechanical measurements<\/a>, N.G. Van Kampen, Physica A: Statistical Mechanics and its Applications, Volume 153, Issue 1 (1988) pages 97-113.<\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/link.springer.com\/article\/10.1140\/epjh\/e2016-70053-2\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">The Stern-Gerlach experiment revisited<\/a>, Horst Schmidt-B\u00f6cking, Lothar Schmidt, Hans J\u00fcrgen L\u00fcdde, Wolfgang Trageser, Alan Templeton &amp; Tilman Sauer, The European Physical Journal H volume 41 (2016) pages 327\u2013364.<span>\u00a0<\/span><a href=\"https:\/\/arxiv.org\/abs\/1609.09311\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">arxiv link<\/a><\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/moldis-group.github.io\/teaching\/QM2022_Sakurai_Notes\/process_of_science_Einstein.png\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Albert Einstein\u2019s explanation of how science works<\/a><span>\u00a0<\/span>from<span>\u00a0<\/span><em style=\"box-sizing: border-box;\">Physics: A Conceptual World View<\/em><span>\u00a0<\/span>Larry Kirkpatrick, Gregory E. Francis, Cengage Learning (2009).<\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/physicstoday.scitation.org\/doi\/10.1063\/1.1650229\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">Stern and Gerlach: How a Bad Cigar Helped Reorient Atomic Physics<\/a>, Bretislav Friedrich and Dudley Herschbach, Physics Today Volume 56, Number 12 (2003) pages 53\u201359.<\/li>\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/full\/10.1002\/ntls.20210068\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">One hundred years of Alfred Land\u00e9\u2019s g-factor<\/a>, Bretislav Friedrich, Gerard Meijer, Horst Schmidt-B\u00f6cking, Gernot Gruber, Natural Sciences, Volume 1, Issue 2 (2021) pages 1\u20137.<\/li>\n<\/ol>\n<h4 id=\"internet-sources-for-images-videos-blogs-etc\" style=\"box-sizing: border-box; clear: both; font-family: Roboto, Georgia, serif; line-height: 1.3; color: #000000; font-size: 20px; margin: 25px 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\"><em style=\"box-sizing: border-box;\">Internet sources for images, videos, blogs, etc.:<\/em><\/h4>\n<ol style=\"box-sizing: border-box; margin: 16px 0px; padding: 0px 0px 0px 40px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">\n<li style=\"box-sizing: border-box;\"><a href=\"https:\/\/toutestquantique.fr\/en\/\" style=\"box-sizing: border-box; color: #0f8bb6; text-decoration: none; transition-property: all; transition-duration: 0.3s; transition-timing-function: ease-in-out; transition-delay: 0s;\">https:\/\/toutestquantique.fr\/en\/<\/a>, contains animations of experiments (such as Stern-Gerlach experiment) that we will discuss in the course.<br style=\"box-sizing: border-box;\" \/><br \/>\n<hr style=\"box-sizing: border-box; margin: 0px 0px 25px; border: 0px; height: 1px; background-image: -webkit-linear-gradient(left, #f0f0f0, #8c8b8b, #f0f0f0);\" \/>\n<\/li>\n<\/ol>\n<h2 id=\"quantum-mechanics-2-phy-2067chm-2117\" style=\"box-sizing: border-box; clear: both; font-family: Roboto, Georgia, serif; line-height: 1.3; color: #000000; font-size: 30px; margin: 25px 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">Quantum Mechanics 2, PHY-206.7\/CHM-211.7<\/h2>\n<p style=\"box-sizing: border-box; margin: 0px 0px 24px; color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\">This course is offered along with Dr. G. Rajalakshmi (raji@tifrh.res.in). This course aims to cover the advanced topics in Sakurai\u2019s<span>\u00a0<\/span><em style=\"box-sizing: border-box;\">Modern Quantum Mechanics<\/em><span>\u00a0<\/span>(Edition-3, 2021) and possibly some topics from other references.<\/p>\n<hr style=\"box-sizing: border-box; margin: 0px 0px 25px; border: 0px; height: 1px; background-image: -webkit-linear-gradient(left, #f0f0f0, #8c8b8b, #f0f0f0); color: #000000; font-family: 'Open Sans', Helvetica, sans-serif; font-size: 14px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;\" \/>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quantum Mechanics 1 for Physicists, PHY-106.7 Course outline: August-December (2023)\u00a02023_QM1.pdfAugust-December (2022)\u00a02022_QM1.pdf References: Principle of Quantum Mechanics, R. Shankar, Springer (Edition-2, Sixth Indian Reprint 2015). Modern Quantum Mechanics, J. J. Sakurai, J. J. Napolitano, Cambridge University Press (Edition-3, 2021). We may include some content from the following texts in the following years. Quantum Physics, Michel Le [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-34","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/index.php?rest_route=\/wp\/v2\/pages\/34","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=34"}],"version-history":[{"count":2,"href":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/index.php?rest_route=\/wp\/v2\/pages\/34\/revisions"}],"predecessor-version":[{"id":37,"href":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/index.php?rest_route=\/wp\/v2\/pages\/34\/revisions\/37"}],"wp:attachment":[{"href":"https:\/\/www.tifrh.res.in\/~ramakrishnan\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=34"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}