{"id":398490,"date":"2017-04-18T02:00:00","date_gmt":"2017-04-17T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=dd673c10e3710568ac958ac50facad93"},"modified":"2017-04-18T02:00:00","modified_gmt":"2017-04-17T23:00:00","slug":"relativistic-coupling-of-internal-and-centre-of-mass-dynamics-in-classical-and-simple-bound-quantummechanical-systems","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=398490","title":{"rendered":"Relativistic coupling of internal and centre of mass dynamics in classical and simple bound quantum\r\nmechanical systems"},"content":{"rendered":"<p>Although special relativity and quantum mechanics revolutionised physics in the early 20th century,<br \/>\nthe consequences of combining these two theories are still being explored a hundred years later,<br \/>\nusually using the formidable theoretical machinery of quantum field theory. However, a formalism<br \/>\naccessible to undergraduates has been recently developed which shows how the centre of mass and<br \/>\ninternal dynamics of classical and quantum systems is relativistically coupled with interesting<br \/>\nconsequences. Here we explore some of the implications of this coupling, first classically, where we<br \/>\nfind that the dynamics of the system is time dilated when moving relative to another inertial frame.<br \/>\nWe then apply the dynamics to a quantum 2-level atom bound in a one-dimensional infinite potential<br \/>\nwell, and show that the coupling produces collapses and revivals in quantum interference. This<br \/>\nexample provides an illustration of how the combination of special relativity and quantum mechanics<br \/>\ncan be stud&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Although special relativity and quantum mechanics revolutionised physics in the early 20th century,<br \/>\nthe consequences of combining these two theories are still being explored a hundred years later,<br \/>\nusually using the formidable theoretical machinery of&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-398490","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/398490","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=398490"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/398490\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=398490"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=398490"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=398490"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}