{"id":349162,"date":"2017-01-09T03:00:00","date_gmt":"2017-01-09T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=605e8cdc8be7870edcbd8090adecc812"},"modified":"2017-01-09T03:00:00","modified_gmt":"2017-01-09T00:00:00","slug":"on-the-realization-of-quantum-fisher-information","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=349162","title":{"rendered":"On the realization of quantum Fisher information"},"content":{"rendered":"<p>With special attention to the role of information theory in physical sciences we present analytical<br \/>\nresults for the coordinate- and momentum-space Fisher information of some important one-dimensional<br \/>\nquantum systems which differ in spacing of their energy levels. The studies envisaged allow us to<br \/>\nrelate the coordinate-space information ( ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/2\/025103\/ejpaa51a0ieqn1.gif] {${I}_{\\rho }$} ) with the<br \/>\nfamiliar energy levels of the quantum system. The corresponding momentum-space information ( ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/2\/025103\/ejpaa51a0ieqn2.gif] {${I}_{\\gamma }$} ) does not<br \/>\nobey such a simple relationship with the energy spectrum. Our results for the product ( ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/38\/2\/025103\/ejpaa51a0ieqn3.gif] {${I}_{\\rho }{I}_{\\gamma }$} )<br \/>\ndepend quadratically on the principal quantum number n and satisfy an appropriate uncertai&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>With special attention to the role of information theory in physical sciences we present analytical<br \/>\nresults for the coordinate- and momentum-space Fisher information of some important one-dimensional<br \/>\nquantum systems which differ in spacing of their e&#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-349162","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\/349162","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=349162"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/349162\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=349162"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=349162"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=349162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}