{"id":119014,"date":"2015-08-24T02:00:00","date_gmt":"2015-08-23T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=3ce16190f25772ef9dfc244d7f7b1831"},"modified":"2015-08-24T02:00:00","modified_gmt":"2015-08-23T23:00:00","slug":"a-simple-derivation-of-the-schrodinger-uncertainty-relation","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=119014","title":{"rendered":"A simple derivation of the Schr\u00f6dinger uncertainty relation"},"content":{"rendered":"<p>We show how the Schr\u00f6dinger uncertainty relation for a pair of observables can be deduced using the<br \/>\nCauchy\u2013Schwarz inequality plus successive applications of the commutation relation involving the two<br \/>\nobservables. Our derivation differs from the original one in the sense that we do not need the<br \/>\nexpansion of the product of these two observables in a sum of symmetrical and anti-symmetrical<br \/>\noperators.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We show how the Schr\u00f6dinger uncertainty relation for a pair of observables can be deduced using the<br \/>\nCauchy\u2013Schwarz inequality plus successive applications of the commutation relation involving the two<br \/>\nobservables. Our derivation differs from the o&#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-119014","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\/119014","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=119014"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/119014\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=119014"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=119014"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=119014"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}