{"id":198636,"date":"2024-10-31T22:26:25","date_gmt":"2024-11-01T03:26:25","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2024\/10\/quantum-harmonic-oscillator-behavior-at-room-temperature"},"modified":"2024-10-31T22:26:25","modified_gmt":"2024-11-01T03:26:25","slug":"quantum-harmonic-oscillator-behavior-at-room-temperature","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2024\/10\/quantum-harmonic-oscillator-behavior-at-room-temperature","title":{"rendered":"Quantum Harmonic Oscillator Behavior at Room Temperature"},"content":{"rendered":"<p style=\"padding-right: 20px\"><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/quantum-harmonic-oscillator-behavior-at-room-temperature.jpg\"><\/a><\/p>\n<p>We are used to the notion of classical harmonic oscillators; these are oscillators fluctuating coherently-this is, symmetrically-around their equilibrium position, experiencing a restoring force <em>F<\/em> proportional to the displacement <em>x<\/em> following the relationship <em>F<\/em> = \u2013 <em>kx<\/em>, being <em>k<\/em> a positive constant commonly known in the mechanics of ideal springs.<\/p>\n<p>If <em>F<\/em> is the only force acting on the system (which means there is no friction with the environment) the system is called a <strong>simple harmonic oscillator<\/strong>, and it undergoes a sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant frequency that does not depend on the amplitude.<\/p>\n<p>In real life, for example in the case of a spring, we see a damped oscillation because it will decrease with time due to friction. So basically, the harmonic oscillation is a very useful idealization that allows to simplify many physical problems.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We are used to the notion of classical harmonic oscillators; these are oscillators fluctuating coherently-this is, symmetrically-around their equilibrium position, experiencing a restoring force F proportional to the displacement x following the relationship F = \u2013 kx, being k a positive constant commonly known in the mechanics of ideal springs. If F is the only [\u2026]<\/p>\n","protected":false},"author":662,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1617],"tags":[],"class_list":["post-198636","post","type-post","status-publish","format-standard","hentry","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/198636","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/662"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=198636"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/198636\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=198636"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=198636"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=198636"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}