{"id":82351,"date":"2015-04-30T03:00:00","date_gmt":"2015-04-30T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=a04d431532bd217864e44040c420e47e"},"modified":"2015-04-30T03:00:00","modified_gmt":"2015-04-30T00:00:00","slug":"asymptotic-approach-to-the-schrodinger-equation-in-the-presence-of-a-screened-coulomb-potential-anda-uniform-field","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=82351","title":{"rendered":"Asymptotic approach to the Schr\u00f6dinger equation in the presence of a screened Coulomb potential and\r\na uniform field"},"content":{"rendered":"<p>In this paper, the Schr\u00f6dinger equation in the presence of a screened Coulomb potential and a<br \/>\nuniform field is analysed using matched asymptotic expansions. When the cup well potential has a<br \/>\nvery short range, approximate analytical expressions for the energy levels and the lifetime of the<br \/>\nsystem are found. The results are compared with those described in the literature. This paper may be<br \/>\nhelpful for undergraduate and graduate students in physics as an introductory problem in the<br \/>\napplication of asymptotic matching applied to quantum mechanics.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this paper, the Schr\u00f6dinger equation in the presence of a screened Coulomb potential and a<br \/>\nuniform field is analysed using matched asymptotic expansions. When the cup well potential has a<br \/>\nvery short range, approximate analytical expressions for 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-82351","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\/82351","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=82351"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/82351\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=82351"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=82351"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=82351"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}