{"id":255923,"date":"2016-08-05T02:00:00","date_gmt":"2016-08-04T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=4b009766cc304ea30da5b5fb1f5ca885"},"modified":"2016-08-05T02:00:00","modified_gmt":"2016-08-04T23:00:00","slug":"revealing-a-quantum-feature-of-dimensionless-uncertainty-in-linear-and-quadratic-potentials-bychanging-potential-intervals","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=255923","title":{"rendered":"Revealing a quantum feature of dimensionless uncertainty in linear and quadratic potentials by\r\nchanging potential intervals"},"content":{"rendered":"<p>As an undergraduate exercise, in an article (2012 Am. J. Phys. 80<br \/>\n[http:\/\/dx.doi.org\/10.1119\/1.4720101] 780\u201314 ), quantum and classical uncertainties for<br \/>\ndimensionless variables of position and momentum were evaluated in three potentials: infinite well,<br \/>\nbouncing ball, and harmonic oscillator. While original quantum uncertainty products depend on<br \/>\n##IMG## [http:\/\/ej.iop.org\/images\/0143-0807\/37\/5\/055411\/ejpaa3166ieqn1.gif] {${\\rm{\\hslash }}$} and<br \/>\nthe number of states ( n ), a dimensionless approach makes the comparison between quantum<br \/>\nuncertainty and classical dispersion possible by excluding ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/37\/5\/055411\/ejpaa3166ieqn2.gif] {${\\rm{\\hslash }}$} . But the<br \/>\nquestion is whether the uncertainty still remains dependent on quantum number n . In the<br \/>\nabove-mentioned article, there lies this contrast; on the one hand, the dimensionless quantum<br \/>\nuncertainty of the potentia&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>As an undergraduate exercise, in an article (2012 Am. J. Phys. 80<br \/>\n[http:\/\/dx.doi.org\/10.1119\/1.4720101] 780\u201314 ), quantum and classical uncertainties for<br \/>\ndimensionless variables of position and momentum were evaluated in three potentials: infinite &#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-255923","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\/255923","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=255923"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/255923\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=255923"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=255923"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=255923"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}