{"id":113587,"date":"2015-08-13T03:00:00","date_gmt":"2015-08-13T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=bb4995d4a739187eae5ee2ffa4ddeea7"},"modified":"2015-08-13T03:00:00","modified_gmt":"2015-08-13T00:00:00","slug":"on-time-dependent-perturbation-theory-in-matrix-mechanics-and-time-averaging","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=113587","title":{"rendered":"On time-dependent perturbation theory in matrix mechanics and time averaging"},"content":{"rendered":"<p>The time-dependent quantum perturbation theory developed by Born, Heisenberg and Jordan in 1926 is<br \/>\nrevisited. We show that it not only reproduces the standard theory formulated in the interaction<br \/>\npicture, but also allows one to construct more accurate approximations if time averaging techniques<br \/>\nare employed. The theory can be rendered unitary even if the expansion is truncated by using a<br \/>\ntransformation previously suggested by Heisenberg. We illustrate the main features of the procedure<br \/>\non a simple example which clearly shows its advantages in comparison with the standard perturbation<br \/>\ntheory.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The time-dependent quantum perturbation theory developed by Born, Heisenberg and Jordan in 1926 is<br \/>\nrevisited. We show that it not only reproduces the standard theory formulated in the interaction<br \/>\npicture, but also allows one to construct more accurat&#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-113587","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\/113587","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=113587"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/113587\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=113587"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=113587"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=113587"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}