{"id":1659,"date":"2024-09-05T13:14:37","date_gmt":"2024-09-05T13:14:37","guid":{"rendered":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/?p=1659"},"modified":"2024-09-09T09:06:58","modified_gmt":"2024-09-09T09:06:58","slug":"quantum-mechanics-and-number-theory","status":"publish","type":"post","link":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/quantum-mechanics-and-number-theory\/","title":{"rendered":"Lecture Note: Quantum mechanics and number theory"},"content":{"rendered":"\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file aligncenter\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/09\/Schleich-Lecture-Note-Quantum-mechanics-and-number-theory.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of Schleich -- Lecture Note -- Quantum mechanics and number theory.\"><\/object><a 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Notes","link":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/category\/summer-school\/summer-school-lecture\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/09\/Schleich-Wolfgang-Notes-of-Lecture-2-Interference-in-phase-space.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/09\/Schleich-Wolfgang-Notes-of-Lecture-2-Interference-in-phase-space.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/09\/Schleich-Wolfgang-Notes-of-Lecture-2-Interference-in-phase-space.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/09\/Schleich-Wolfgang-Notes-of-Lecture-2-Interference-in-phase-space.png?resize=700%2C400&ssl=1 2x, 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Schleich","author":"wvk_3vn943","date":"August 14, 2024","format":false,"excerpt":"Chair-Professor of Theoretical Physics at the University of Ulm Wolfgang P. Schleich is engaged in research on quantum optics ranging from the foundations of quantum physics via tests of general relativity with light and cold atoms to number theory. He was educated at the Ludwig Maximilians-Universit\u00e4t (LMU) in Munich and\u2026","rel":"","context":"In &quot;FOMO Steering Committee&quot;","block_context":{"text":"FOMO Steering Committee","link":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/category\/fomo2024\/committees\/steering-committee\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/04\/Wolfgang-Schleich.png?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":1209,"url":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/efremov-maxim-optimal-diffractive-focusing-of-quantum-waves\/","url_meta":{"origin":1659,"position":4},"title":"EFREMOV MAXIM: Optimal diffractive focusing of quantum waves","author":"wvk_3vn943","date":"August 11, 2024","format":false,"excerpt":"Abstract Following the familiar analogy between the optical paraxial wave equation and the Schr\u00f6dinger equation, we derive the optimal, real-valued wave function for focusing in one and two space dimensions without the use of any phase component [1]. We compare and contrast the focusing parameters of the optimal waves with\u2026","rel":"","context":"In &quot;Conference Videos&quot;","block_context":{"text":"Conference Videos","link":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/category\/conference\/presentation-videos\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/08\/EFREMOV-MAXIM-Optimal-diffractive-focusing-of-quantum-waves.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/08\/EFREMOV-MAXIM-Optimal-diffractive-focusing-of-quantum-waves.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/08\/EFREMOV-MAXIM-Optimal-diffractive-focusing-of-quantum-waves.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/08\/EFREMOV-MAXIM-Optimal-diffractive-focusing-of-quantum-waves.png?resize=700%2C400&ssl=1 2x, https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/08\/EFREMOV-MAXIM-Optimal-diffractive-focusing-of-quantum-waves.png?resize=1050%2C600&ssl=1 3x"},"classes":[]},{"id":152,"url":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/federica-surace\/","url_meta":{"origin":1659,"position":5},"title":"Federica Surace","author":"wvk_3vn943","date":"April 9, 2024","format":false,"excerpt":"Division of Physics, Mathematics and Astronomy of Caltech. Federica Surace is an AWS Quantum Postdoctoral Scholar at the California Institute of Technology, and a member of Caltech\u2019s Institute for Quantum Information and Matter. She works at the intersection of condensed matter physics and quantum information, investigating the non-equilibrium dynamics of\u2026","rel":"","context":"In &quot;Invited Speaker&quot;","block_context":{"text":"Invited Speaker","link":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/category\/conference\/speakers\/invited-speaker\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/07\/Federica-Surace.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/07\/Federica-Surace.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/07\/Federica-Surace.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/07\/Federica-Surace.png?resize=700%2C400&ssl=1 2x, https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/07\/Federica-Surace.png?resize=1050%2C600&ssl=1 3x, https:\/\/i0.wp.com\/www.matterwaveoptics.eu\/FOMO2024\/wp-content\/uploads\/2024\/07\/Federica-Surace.png?resize=1400%2C800&ssl=1 4x"},"classes":[]}],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/posts\/1659","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/comments?post=1659"}],"version-history":[{"count":4,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/posts\/1659\/revisions"}],"predecessor-version":[{"id":1751,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/posts\/1659\/revisions\/1751"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/media\/1661"}],"wp:attachment":[{"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/media?parent=1659"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/categories?post=1659"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matterwaveoptics.eu\/FOMO2024\/wp-json\/wp\/v2\/tags?post=1659"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}