{"id":358949,"date":"2017-01-23T03:00:00","date_gmt":"2017-01-23T00:00:00","guid":{"rendered":"https:\/\/www.fyysika.ee\/?guid=f82f056660e231dcd9c1d366f23562b9"},"modified":"2017-01-23T03:00:00","modified_gmt":"2017-01-23T00:00:00","slug":"a-full-quantum-analysis-of-the-stern-gerlach-experiment-using-the-evolution-operator-methodanalyzing-current-issues-in-teaching-quantum-mechanics-2","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=358949","title":{"rendered":"A full quantum analysis of the Stern\u2013Gerlach experiment using the evolution operator method:\r\nanalyzing current issues in teaching quantum mechanics"},"content":{"rendered":"<p>To the quantum mechanics specialists community it is a well-known fact that the famous original<br \/>\nStern\u2013Gerlach experiment (SGE) produces entanglement between the external degrees of freedom<br \/>\n(position) and the internal degree of freedom (spin) of silver atoms. Despite this fact, almost all<br \/>\ntextbooks on quantum mechanics explain this experiment using a semiclassical approach, where the<br \/>\nexternal degrees of freedom are considered classical variables, the internal degree is treated as a<br \/>\nquantum variable, and Newton&#8217;s second law is used to describe the dynamics. In the literature there<br \/>\nare some works that analyze this experiment in its full quantum mechanical form. However,<br \/>\nastonishingly, to the best of our knowledge the original experiment, where the initial states of the<br \/>\nspin degree of freedom are randomly oriented coming from the oven, has not been analyzed yet in the<br \/>\navailable textbooks using the Schr\u00f6dinger equation (to the best of our knowledge there is only one<br \/>\npaper that treats&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>To the quantum mechanics specialists community it is a well-known fact that the famous original<br \/>\nStern\u2013Gerlach experiment (SGE) produces entanglement between the external degrees of freedom<br \/>\n(position) and the internal degree of freedom (spin) of sil&#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-358949","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\/358949","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=358949"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/358949\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=358949"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=358949"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=358949"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}