{"id":109730,"date":"2015-08-03T03:00:00","date_gmt":"2015-08-03T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=bfe3302f2c27151099534f9b4cd3558a"},"modified":"2015-08-03T03:00:00","modified_gmt":"2015-08-03T00:00:00","slug":"equivalent-linearization-technique-for-quantum-anharmonic-oscillators","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=109730","title":{"rendered":"Equivalent linearization technique for quantum anharmonic oscillators"},"content":{"rendered":"<p>Quantum dynamics means studying the evolution of an initially prescribed wave function. This is<br \/>\nanalytically tractable for special wavefunctions for the simplest of the situations\u2014free particle<br \/>\nand simple harmonic oscillator. The purely anharmonic oscillators are virtually impossible to<br \/>\nhandle. We show here that the study of Ehrenfest&#8217;s equation provides an alternative route to<br \/>\nstudying quantum dynamics. It does not give exact answers but clarifies some basic aspects of<br \/>\nquantum dynamics by providing a prescription for constructing equivalent simple harmonic<br \/>\noscillators.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quantum dynamics means studying the evolution of an initially prescribed wave function. This is<br \/>\nanalytically tractable for special wavefunctions for the simplest of the situations\u2014free particle<br \/>\nand simple harmonic oscillator. The purely anharmonic &#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-109730","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\/109730","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=109730"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/109730\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=109730"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=109730"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=109730"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}