{"id":49,"date":"2007-09-20T00:10:17","date_gmt":"2007-09-20T05:10:17","guid":{"rendered":"http:\/\/arxivblog.com\/?p=49"},"modified":"2007-09-21T04:55:07","modified_gmt":"2007-09-21T09:55:07","slug":"the-surprise-at-the-bottom-of-the-infinite-quantum-well","status":"publish","type":"post","link":"http:\/\/arxivblog.com\/?p=49","title":{"rendered":"The surprise at the bottom of the infinite quantum well"},"content":{"rendered":"<p>Who remembers the quantum particle trapped in an infinite square well? Ya&#8217;ll probably still havin nightmares about it. Turns out there is an interesting new take on this problem that has physicists all a-sea.<\/p>\n<p>For any bods out there who ain&#8217;t familiar with it,  the simplest problem in any course of quantum mechanics is this: what happens to a quantum particle trapped in a well of a particular width but with infinite sides. The answer is that the probability of finding the particle in any part of the well has a wavelike distribution. This is every physics undergraduate&#8217;s shocking introduction to the wave-like behaviour of quantum particles.<\/p>\n<p>It&#8217;s straightforward to tackle but start tinkerin&#8217; with this problem and  yer get some interesting behaviour. Claude &#8220;Acute&#8221; Aslangul at the Laboratoire de Physique Theorique de la Matiere Condensee in Paris, asks what happens when you suddenly increase the width of the quantum well.<\/p>\n<p>His answer is that the probability distribution adopts a weird and very un-wavelike pattern and that this pattern is independent of the size of the expansion.<\/p>\n<p>This is a piece o&#8217; good ol&#8217; fashioned physics and here&#8217;s a good ol&#8217; fashioned problem for ya: what on Earth is going on here? How can we explain this unwave-like  behaviour in physical terms?<\/p>\n<p>Ref: <a href=\"http:\/\/arxiv.org\/abs\/0709.1101\">arxiv.org\/abs\/0709.1101<\/a>: Surprises in the Suddenly-Expanded Infinite Well<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Who remembers the quantum particle trapped in an infinite square well? Ya&#8217;ll probably still havin nightmares about it. Turns out there is an interesting new take on this problem that has physicists all a-sea. For any bods out there who ain&#8217;t familiar with it, the simplest problem in any course of quantum mechanics is this: [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5,3],"tags":[],"class_list":["post-49","post","type-post","status-publish","format-standard","hentry","category-secrets","category-weird-n-spooky"],"_links":{"self":[{"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/posts\/49","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/arxivblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=49"}],"version-history":[{"count":0,"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/posts\/49\/revisions"}],"wp:attachment":[{"href":"http:\/\/arxivblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=49"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/arxivblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=49"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/arxivblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=49"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}