{"id":113593,"date":"2015-08-13T03:00:00","date_gmt":"2015-08-13T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=df0aaf532a7f9f01314d2f556cae3d2e"},"modified":"2015-08-13T03:00:00","modified_gmt":"2015-08-13T00:00:00","slug":"spectra-generated-by-a-non-central-generalized-kratzer-potential-and-explicit-expressions-forexpectation-values-of-r-s-in-n-dimensions","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=113593","title":{"rendered":"Spectra generated by a non-central generalized Kratzer potential and explicit expressions for\r\nexpectation values of r s in N -dimensions"},"content":{"rendered":"<p>Analytical solutions of the N -dimensional non-relativistic wave equation with the non-central<br \/>\ngeneralized Kratzer potential with arbitrary angular momentum have been investigated within the<br \/>\nframework of the asymptotic iteration method. In hyperspherical coordinates, the normalized wave<br \/>\nfunctions for rovibrational states are obtained in terms of generalized Laguerre and Gegenbauer<br \/>\npolynomials. We have also derived the recurrence formulas and the radial expectation values of the<br \/>\nreduced internuclear distances in N -dimensions. Rovibrational expectation values ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/36\/5\/055050\/ejp518054ieqn1.gif] {$langle {nl}|<br \/>\n{(frac{r}{{r}_{e}})}^{s}| {nl}rangle .$} are given for ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/36\/5\/055050\/ejp518054ieqn2.gif] {$-3leqslant sleqslant 3$} .<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Analytical solutions of the N -dimensional non-relativistic wave equation with the non-central<br \/>\ngeneralized Kratzer potential with arbitrary angular momentum have been investigated within the<br \/>\nframework of the asymptotic iteration method. In hyperspher&#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-113593","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\/113593","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=113593"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/113593\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=113593"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=113593"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=113593"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}