{"id":27244,"date":"2020-12-18T04:56:23","date_gmt":"2020-12-18T09:56:23","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=27244"},"modified":"2020-12-18T04:58:45","modified_gmt":"2020-12-18T09:58:45","slug":"harmonic-oscillator-in-2d-kepler-problem-in-3d-and-free-particle-on-sphere-in-4d-these-are-the-same-thing-in-different-guises","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=27244","title":{"rendered":"harmonic oscillator in 2D, Kepler problem in 3D and free particle on sphere in 4D. These are the same thing in different guises."},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-rich is-provider-twitter wp-block-embed-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">Wanna hear something crazy?<br><br>1) harmonic oscillator in 2D<br>2) Kepler problem in 3D<br>3) free particle on sphere in 4D<br><br>These are the same thing in different guises.<\/p>&mdash; Tam\u00e1s G\u00f6rbe (@TamasGorbe) <a href=\"https:\/\/twitter.com\/TamasGorbe\/status\/1339668516312641540?ref_src=twsrc%5Etfw\">December 17, 2020<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n\n\n\n<p><a href=\"https:\/\/math.ucr.edu\/home\/baez\/gravitational.html\">Mysteries of the gravitational 2-body problem<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.gregegan.net\/SCIENCE\/Ellipse\/Ellipse.html\">The Ellipse and the Atom<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mysteries of the gravitational 2-body problem The Ellipse and the Atom<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19,29],"tags":[],"class_list":["post-27244","post","type-post","status-publish","format-standard","hentry","category-mathematiques","category-physique"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/27244","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=27244"}],"version-history":[{"count":3,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/27244\/revisions"}],"predecessor-version":[{"id":27247,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/27244\/revisions\/27247"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27244"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=27244"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=27244"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}