{"id":595981,"date":"2017-10-20T02:00:00","date_gmt":"2017-10-19T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=ab899af4903b1e963c3f1ba4b62d455e"},"modified":"2017-10-20T02:00:00","modified_gmt":"2017-10-19T23:00:00","slug":"uncertainty-relations-for-a-particle-confined-in-a-finite-square-well-potential","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=595981","title":{"rendered":"Uncertainty relations for a particle confined in a finite square well potential"},"content":{"rendered":"<p>In order to specify the uncertainty relation for a particle confined in a finite square well<br \/>\npotential we derived the standard deviation of momentum ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/6\/065402\/ejpaa8417ieqn1.gif] {${\\rm{\\Delta }}p$} and that of<br \/>\nposition ##IMG## [http:\/\/ej.iop.org\/images\/0143-0807\/38\/6\/065402\/ejpaa8417ieqn2.gif] {${\\rm{\\Delta<br \/>\n}}x.$} It is shown that ##IMG## [http:\/\/ej.iop.org\/images\/0143-0807\/38\/6\/065402\/ejpaa8417ieqn3.gif]<br \/>\n{${\\rm{\\Delta }}p$} has a peak as a function of the well width and both ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/6\/065402\/ejpaa8417ieqn4.gif] {${\\rm{\\Delta }}x$} and ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/6\/065402\/ejpaa8417ieqn5.gif] {${\\rm{\\Delta }}p\\cdot<br \/>\n{\\rm{\\Delta }}x$} have a dip in contrast to the case of the particle confined in an infinite square<br \/>\nwell potential. We clarified that ##IMG##<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In order to specify the uncertainty relation for a particle confined in a finite square well<br \/>\npotential we derived the standard deviation of momentum ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/6\/065402\/ejpaa8417ieqn1.gif] {${\\rm{\\Delta }}p$} and 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-595981","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\/595981","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=595981"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/595981\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=595981"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=595981"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=595981"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}