{"id":321680,"date":"2016-11-21T03:00:00","date_gmt":"2016-11-21T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=311a22919169b3cacff1adee3750139d"},"modified":"2016-11-21T03:00:00","modified_gmt":"2016-11-21T00:00:00","slug":"quantum-elastic-bump-on-a-surface","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=321680","title":{"rendered":"Quantum-elastic bump on a surface"},"content":{"rendered":"<p>We use an exact solution of the elastic membrane shape equation, representing the curvature, which<br \/>\nwill serve as a quantum potential in the quantum mechanical two dimensional Schr\u00f6dinger equation for<br \/>\na (quasi-) particle on the surface of the membrane. Surface curvature in the quasi one-dimensional<br \/>\ncase is related to an unexpected static formation: on one hand the elastic energy has a maximum<br \/>\nwhere surface curvature has a maximum and on the other hand the concentration of the expectation<br \/>\nvalue to find the (quasi-) particle is again where the elastic energy is concentrated, namely where<br \/>\nsurface curvature has a maximum. This represents a particular form of a conformon.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We use an exact solution of the elastic membrane shape equation, representing the curvature, which<br \/>\nwill serve as a quantum potential in the quantum mechanical two dimensional Schr\u00f6dinger equation for<br \/>\na (quasi-) particle on the surface of the membran&#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-321680","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\/321680","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=321680"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/321680\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=321680"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=321680"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=321680"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}