{"id":105204,"date":"2015-07-17T03:00:00","date_gmt":"2015-07-17T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=46c06126d0a505eb7c4106928de7809e"},"modified":"2015-07-17T03:00:00","modified_gmt":"2015-07-17T00:00:00","slug":"a-relativistic-spin-zero-particle-in-a-spherical-cavity","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=105204","title":{"rendered":"A relativistic spin zero particle in a spherical cavity"},"content":{"rendered":"<p>The problem of a relativistic massive scalar particle trapped in an infinite potential spherical<br \/>\nwell is pedagogically addressed in this paper. The wave function solutions and probability density<br \/>\nof the Klein\u2013Gordon equation in spherical coordinates are derived, as well as the energy levels. The<br \/>\nresults are compared with the non-relativistic solutions of the Schr\u00f6dinger equation for different<br \/>\nvalues of the particle\u2019s mass. As expected, for very large masses the non-relativistic results are<br \/>\nrecovered. For illustration, these results are discussed in the specific case of the standard model<br \/>\nHiggs field constrained inside a proton, in the quadratic approximation of the Higgs potential<br \/>\naround the expectation value.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The problem of a relativistic massive scalar particle trapped in an infinite potential spherical<br \/>\nwell is pedagogically addressed in this paper. The wave function solutions and probability density<br \/>\nof the Klein\u2013Gordon equation in spherical coordinate&#8230;<\/p>\n","protected":false},"author":0,"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-105204","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\/105204","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"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=105204"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/105204\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=105204"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=105204"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=105204"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}