{"id":126604,"date":"2015-10-06T02:00:00","date_gmt":"2015-10-05T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=218f2bcfb8ccd08ada32343976b7c6d1"},"modified":"2015-10-06T02:00:00","modified_gmt":"2015-10-05T23:00:00","slug":"commuting-operators-for-the-helium-atom","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=126604","title":{"rendered":"Commuting operators for the helium atom"},"content":{"rendered":"<p>We show that for the helium atom with electrostatic repulsion between electrons, the operators for<br \/>\nthe z component and the square of the total angular momentum commute with the Hamiltonian, and<br \/>\ntherefore quantum numbers M and L can be used to label the energy eigenstates. This fact is used but<br \/>\nnot proved in most quantum mechanics textbooks.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We show that for the helium atom with electrostatic repulsion between electrons, the operators for<br \/>\nthe z component and the square of the total angular momentum commute with the Hamiltonian, and<br \/>\ntherefore quantum numbers M and L can be used to label t&#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-126604","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\/126604","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=126604"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/126604\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=126604"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=126604"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=126604"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}