{"id":140513,"date":"2015-11-04T03:00:00","date_gmt":"2015-11-04T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=4b49905c27d4a1ff7a9876d1d2706cb1"},"modified":"2015-11-04T03:00:00","modified_gmt":"2015-11-04T00:00:00","slug":"the-confined-hydrogen-atom-a-linear-variational-approach","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=140513","title":{"rendered":"The confined hydrogen atom: a linear variational approach"},"content":{"rendered":"<p>We study the size effect on the confinement of a hydrogen atom in a spherical box of impenetrable<br \/>\nwalls. We compute the energy of the ground and a few excited states as a function of the box radius<br \/>\nR c . To obtain the energy eigenvalues and eigenfunctions we utilize the linear variational method<br \/>\nvia a basis set of free-particle-in-a-box wave functions. For small values of R c convergence is<br \/>\nattained with a small number of basis set functions, whereas for R c\u00a0\u2265\u00a05.0 au, it is necessary to<br \/>\nuse over 100 terms in the expansion.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We study the size effect on the confinement of a hydrogen atom in a spherical box of impenetrable<br \/>\nwalls. We compute the energy of the ground and a few excited states as a function of the box radius<br \/>\nR c . To obtain the energy eigenvalues and eigenfunc&#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-140513","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\/140513","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=140513"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/140513\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=140513"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=140513"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=140513"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}