{"id":34301,"date":"2024-05-18T12:26:56","date_gmt":"2024-05-18T12:26:56","guid":{"rendered":"https:\/\/idea.membrane.com\/songwriter\/?p=34301"},"modified":"2024-05-18T12:26:56","modified_gmt":"2024-05-18T12:26:56","slug":"quantum-tunneling","status":"publish","type":"post","link":"http:\/\/kingarthur.com\/songwriter\/2024\/05\/18\/quantum-tunneling\/","title":{"rendered":"Quantum Tunneling"},"content":{"rendered":"<ul>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/Quantum-Tunneling.mp3\"> Quantum-Tunneling.mp3<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/Quantum-Tunneling.mp4\"> Quantum-Tunneling.mp4<\/a><\/li>\n<\/ul>\n<p>[Verse 1]<br \/>\nWave hello<br \/>\nTo the part about the particle<br \/>\nAble to pass through<br \/>\nA barrier for me and you<\/p>\n<p>[Chorus]<br \/>\nCounterintuitive effect<br \/>\nThe result is direct<br \/>\nWave-like<br \/>\nYou&#8217;re saying hi<br \/>\nWave-like<br \/>\nA long goodbye<\/p>\n<p>[Bridge]<br \/>\nQuantum tunneling<br \/>\nSchr\u00f6dinger equation<br \/>\nCome earthling<br \/>\nComprehension evasion<\/p>\n<p>[Instrumental, Saxophone Solo, Bass]<\/p>\n<p>[Verse 2]<br \/>\nChallenges classical intuition<br \/>\n&#8220;What in God&#8217;s creation?&#8221;<br \/>\nWhat did Einstein have in mind<br \/>\nAt the time?<\/p>\n<p>[Chorus]<br \/>\nCounterintuitive effect<br \/>\nThe result is direct<br \/>\nWave-like<br \/>\nYou&#8217;re saying hi<br \/>\nWave-like<br \/>\nA long goodbye<\/p>\n<p>[Bridge]<br \/>\nQuantum tunneling<br \/>\nSchr\u00f6dinger equation<br \/>\nCome earthling<br \/>\nComprehension evasion<\/p>\n<p>[Instrumental, Guitar Solo, Drum Fills]<\/p>\n<p>A SCIENCE NOTE<br \/>\nQuantum tunneling is a phenomenon in quantum mechanics where a particle can pass through a potential barrier, even if it doesn&#8217;t have enough energy to overcome that barrier according to classical physics. This counterintuitive effect is a direct result of the wave-like properties of particles in quantum mechanics, described by the Schr\u00f6dinger equation.<\/p>\n<h3>Key Points About Quantum Tunneling:<\/h3>\n<ol>\n<li><strong>Wave Function<\/strong>: In quantum mechanics, particles like electrons are described by wave functions, which provide information about the probability of finding the particle at a particular location. The wave function can extend into regions where classical physics would predict the particle cannot go.<\/li>\n<li><strong>Potential Barrier<\/strong>: In classical mechanics, a particle with less energy than the height of a barrier cannot overcome it. In quantum mechanics, however, the wave function of the particle can extend into and through the barrier, allowing for a non-zero probability of the particle being found on the other side.<\/li>\n<li><strong>Penetration and Transmission<\/strong>: The particle&#8217;s wave function doesn&#8217;t abruptly stop at the barrier. Instead, it gradually decreases (exponentially decays) within the barrier and can reappear on the other side. This means there is a finite probability that the particle will &#8220;tunnel&#8221; through the barrier, even though it doesn&#8217;t have the energy to do so classically.<\/li>\n<li><strong>Applications<\/strong>: Quantum tunneling has several important applications in modern technology and science:\n<ul>\n<li><strong>Semiconductors and Transistors<\/strong>: Tunneling is crucial in the operation of tunnel diodes and other semiconductor devices.<\/li>\n<li><strong>Nuclear Fusion<\/strong>: In the Sun, protons can tunnel through the Coulomb barrier (the repulsive force between positively charged protons) to enable nuclear fusion reactions.<\/li>\n<li><strong>Scanning Tunneling Microscopy (STM)<\/strong>: STM uses tunneling of electrons to image surfaces at the atomic level.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tunneling Time<\/strong>: The concept of how long it takes for a particle to tunnel through a barrier is still an area of active research and debate, with various theoretical models proposing different answers.<\/li>\n<\/ol>\n<h3>Example:<\/h3>\n<p>One common example of quantum tunneling is the alpha decay of a nucleus. In alpha decay, an alpha particle (two protons and two neutrons) is trapped inside a nucleus by the nuclear force. Classically, the alpha particle doesn&#8217;t have enough energy to escape the potential well created by the nucleus. However, quantum mechanically, there is a finite probability that it can tunnel through the barrier and be emitted as radioactive decay.<\/p>\n<p>Quantum tunneling fundamentally challenges our classical intuition and demonstrates the non-deterministic and probabilistic nature of quantum mechanics.<\/p>\n<h3>From the album Yet by <a href=\"http:\/\/membrane.com\/4D-Music\/\">4D<\/a><\/h3>\n<h2><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/\">MegaEpix Enormous<\/a><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Quantum-Tunneling.mp3 Quantum-Tunneling.mp4 [Verse 1] Wave hello To the part about the particle Able to pass through A barrier for me and you [Chorus] Counterintuitive effect The result is direct Wave-like You&#8217;re saying hi Wave-like A long goodbye [Bridge] Quantum tunneling Schr\u00f6dinger equation Come earthling Comprehension evasion [Instrumental, Saxophone Solo, Bass] [Verse 2] Challenges classical intuition [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[3,9,14,3955],"tags":[546,563,3966],"class_list":["post-34301","post","type-post","status-publish","format-standard","hentry","category-4d-music","category-daniel","category-lyrics","category-megaepix-enormous","tag-mp4","tag-music-videos","tag-yet"],"_links":{"self":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/34301","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/comments?post=34301"}],"version-history":[{"count":4,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/34301\/revisions"}],"predecessor-version":[{"id":34317,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/34301\/revisions\/34317"}],"wp:attachment":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/media?parent=34301"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/categories?post=34301"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/tags?post=34301"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}