{"id":221963,"date":"2016-05-16T02:00:00","date_gmt":"2016-05-15T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=c66374e04de7f7385320699c153f6951"},"modified":"2016-05-16T02:00:00","modified_gmt":"2016-05-15T23:00:00","slug":"quantum-and-classical-probability-distributions-for-arbitrary-hamiltonians","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=221963","title":{"rendered":"Quantum and classical probability distributions for arbitrary Hamiltonians"},"content":{"rendered":"<p>In the limit of large quantum excitations, the classical and quantum probability distributions for a<br \/>\nSchr\u00f6dinger equation can be compared by using the corresponding WKBJ solutions whose rapid<br \/>\noscillations are averaged. This result is extended for one-dimensional Hamiltonians with a non-usual<br \/>\nkinetic part. The validity of the approach is tested with a Hamiltonian containing a relativistic<br \/>\nkinetic energy operator.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the limit of large quantum excitations, the classical and quantum probability distributions for a<br \/>\nSchr\u00f6dinger equation can be compared by using the corresponding WKBJ solutions whose rapid<br \/>\noscillations are averaged. This result is extended for on&#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-221963","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\/221963","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=221963"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/221963\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=221963"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=221963"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=221963"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}