{"id":344794,"date":"2016-12-22T03:00:00","date_gmt":"2016-12-22T00:00:00","guid":{"rendered":"https:\/\/www.fyysika.ee\/?guid=7fb2c84a121921e1cd35e28666f60675"},"modified":"2016-12-22T03:00:00","modified_gmt":"2016-12-22T00:00:00","slug":"the-paradoxical-zero-reflection-at-zero-energy-2","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=344794","title":{"rendered":"The paradoxical zero reflection at zero energy"},"content":{"rendered":"<p>Usually, the reflection probability R ( E ) of a particle of zero energy incident on a potential<br \/>\nwhich converges to zero asymptotically is found to be 1: ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/2\/025401\/ejpaa4f96ieqn1.gif] {$R(0)=1$} . But earlier, a<br \/>\nparadoxical phenomenon of zero reflection at zero energy ( ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/2\/025401\/ejpaa4f96ieqn2.gif] {$R(0)=0$} ) has been revealed<br \/>\nas a threshold anomaly. Extending the concept of half-bound state (HBS) of 3D, here we show that in<br \/>\n1D when a symmetric (asymmetric) attractive potential well possesses a zero-energy HBS, ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/2\/025401\/ejpaa4f96ieqn3.gif] {$R(0)=0$} ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/2\/025401\/ejpaa4f96ieqn4.gif] {$(R(0)\\ll 1)$} . This can<br \/>\nhappen only at some critical values q c of an effective parameter q of &#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Usually, the reflection probability R ( E ) of a particle of zero energy incident on a potential<br \/>\nwhich converges to zero asymptotically is found to be 1: ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/2\/025401\/ejpaa4f96ieqn1.gif] {$R(0)=1$} . But ear&#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-344794","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\/344794","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=344794"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/344794\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=344794"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=344794"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=344794"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}