{"id":416,"date":"2022-10-06T11:45:42","date_gmt":"2022-10-06T10:45:42","guid":{"rendered":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/?p=416"},"modified":"2022-10-06T11:57:52","modified_gmt":"2022-10-06T10:57:52","slug":"fidelity-and-transversely-intersecting-lagrangians","status":"publish","type":"post","link":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/fidelity-and-transversely-intersecting-lagrangians\/","title":{"rendered":"Fidelity and transversely intersecting Lagrangians"},"content":{"rendered":"

Friday 6 May 2022, <\/strong>16:00 \u2013 17:00, M314<\/strong><\/p>\n

We start with a compact Kahler manifold that one can consider as a phase space of a classical dynamical system. We define the Berezin quantization of manifolds as a family of some special Toeplitz operators. We introduce the quantum state associated with an arbitrary submanifold of a compact Kahler manifold and see that if the submanifold is a point, its quantization is a pure quantum state, and otherwise, it is a mixed state in the semi-classical limit. We define some quantum mechanical concepts such as fidelity as a measure of overlap between a pair of quantum states and see that for two intersecting Lagrangian submanifolds, fidelity can detect the transverse intersection.<\/p>\n

Ghazaleh Asghari (University of Reading, England)<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Friday 6 May 2022, 16:00 \u2013 17:00, M314 We start with a compact Kahler manifold that one can consider as a phase space of a classical dynamical system. We define…Read More ><\/a><\/p>\n","protected":false},"author":219,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"__cvm_playback_settings":[],"__cvm_video_id":"","footnotes":""},"categories":[14],"tags":[16,17],"coauthors":[12],"class_list":["post-416","post","type-post","status-publish","format-standard","hentry","category-events","tag-analysis-seminar","tag-summer-2022"],"acf":[],"aioseo_notices":[],"cc_featured_image_caption":{"caption_text":"","source_text":"","source_url":""},"_links":{"self":[{"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/posts\/416","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/users\/219"}],"replies":[{"embeddable":true,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/comments?post=416"}],"version-history":[{"count":3,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/posts\/416\/revisions"}],"predecessor-version":[{"id":423,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/posts\/416\/revisions\/423"}],"wp:attachment":[{"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/media?parent=416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/categories?post=416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/tags?post=416"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/research.reading.ac.uk\/pure-and-applied-analysis\/wp-json\/wp\/v2\/coauthors?post=416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}