{"id":156614,"date":"2015-12-10T03:00:00","date_gmt":"2015-12-10T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=30e35f869e18395d915e97ca66ff8fbb"},"modified":"2015-12-10T03:00:00","modified_gmt":"2015-12-10T00:00:00","slug":"revisiting-the-quantum-harmonic-oscillator-via-unilateral-fourier-transforms","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=156614","title":{"rendered":"Revisiting the quantum harmonic oscillator via unilateral Fourier transforms"},"content":{"rendered":"<p>The literature on the exponential Fourier approach to the one-dimensional quantum harmonic<br \/>\noscillator problem is revised and criticized. It is shown that the solution of this problem has been<br \/>\nbuilt on faulty premises. The problem is revisited via the Fourier sine and cosine transform method<br \/>\nand the stationary states are properly determined by requiring definite parity and square-integrable<br \/>\neigenfunctions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The literature on the exponential Fourier approach to the one-dimensional quantum harmonic<br \/>\noscillator problem is revised and criticized. It is shown that the solution of this problem has been<br \/>\nbuilt on faulty premises. The problem is revisited via the&#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-156614","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\/156614","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=156614"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/156614\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=156614"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=156614"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=156614"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}