{"id":205,"date":"2015-09-04T13:53:38","date_gmt":"2015-09-04T13:53:38","guid":{"rendered":"https:\/\/www.quantum-classical-physics.com\/qcp\/?p=205"},"modified":"2019-09-24T09:14:49","modified_gmt":"2019-09-24T09:14:49","slug":"quantum-states-in-the-multipole-solutions-of-the-maxwells-equations-for-the-free-radiation-field","status":"publish","type":"post","link":"https:\/\/www.quantum-classical-physics.com\/qcp\/quantum-states-in-the-multipole-solutions-of-the-maxwells-equations-for-the-free-radiation-field\/","title":{"rendered":"Quantum states in the multipole solutions of the Maxwell\u2019s equations for the free radiation field"},"content":{"rendered":"<div  class=\"tatsu-g7aq3fj1979edlh9 tatsu-section  tatsu-bg-overlay   tatsu-clearfix\" data-title=\"\"  data-headerscheme=\"background--dark\"><div class='tatsu-section-pad clearfix' data-padding='{\"d\":\"15px 0px 15px 0px\"}' data-padding-top='15px'><div class=\"tatsu-row-wrap  tatsu-wrap tatsu-row-one-col tatsu-row-has-one-cols tatsu-medium-gutter tatsu-reg-cols  tatsu-clearfix tatsu-g7aq3fj1lef7g65r\" ><div  class=\"tatsu-row \" ><div  class=\"tatsu-column  tatsu-bg-overlay tatsu-one-col tatsu-column-image-none tatsu-column-effect-none  tatsu-g7aq3fj1tlb0klih\"  data-parallax-speed=\"0\" style=\"\"><div class=\"tatsu-column-inner \" ><div class=\"tatsu-column-pad-wrap\"><div class=\"tatsu-column-pad\" ><div  class=\"tatsu-module tatsu-text-block-wrap tatsu-g7aq3fj1yyd2jcu0  \"><div class=\"tatsu-text-inner tatsu-align-center  clearfix\" ><style>.tatsu-g7aq3fj1yyd2jcu0.tatsu-text-block-wrap .tatsu-text-inner{width: 100%;text-align: left;}<\/style>\n<h3><span style=\"color: #ffffff; font-size: 8pt;\">Quantum states in the multipole solutions of the Maxwell&#8217;s equations for the free radiation field<\/span> Abstract<\/h3>\n<p>Classical electrodynamics built on the multipole approach to the Maxwell\u2019s theory of light for the empty space has the potential for reproducing fundamental aspects of quantum optics. Field quantization and discrete energy levels are found without the use of the correspondence principle that is fundamental to the conventional connection between the classical field modes and quantum harmonic oscillators. After a brief summary of the conventional quantum approach based on plane waves, results of the classical multipole approach are given for Fock states, zero-point energy and photon statistics of chaotic light.<\/p>\n<h3><a href=\"https:\/\/www.quantum-classical-physics.com\/qcp\/articles\/Poster_quamp2015.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">QUAMP 2015 (POSTER) <\/a> (PDF)<\/h3>\n<p>International Conference on Quantum, Atomic, Molecular and Plasma Physics, being held in Brighton UK from 1-4 September 2015<\/p>\n<\/div><\/div><\/div><\/div><div class = \"tatsu-column-bg-image-wrap\"><div class = \"tatsu-column-bg-image\" ><\/div><\/div><div class=\"tatsu-overlay tatsu-column-overlay tatsu-animate-none\" ><\/div><\/div><style>.tatsu-row > .tatsu-g7aq3fj1tlb0klih.tatsu-column{width: 100%;}.tatsu-g7aq3fj1tlb0klih.tatsu-column > .tatsu-column-inner > .tatsu-column-overlay{mix-blend-mode: normal;}.tatsu-g7aq3fj1tlb0klih > .tatsu-column-inner > .tatsu-top-divider{z-index: 9999;}.tatsu-g7aq3fj1tlb0klih > .tatsu-column-inner > .tatsu-bottom-divider{z-index: 9999;}.tatsu-g7aq3fj1tlb0klih > .tatsu-column-inner > .tatsu-left-divider{z-index: 9999;}.tatsu-g7aq3fj1tlb0klih > .tatsu-column-inner > .tatsu-right-divider{z-index: 9999;}<\/style><\/div><\/div><\/div><\/div><div class=\"tatsu-section-background-wrap\"><div class = \"tatsu-section-background\" ><\/div><\/div><div class=\"tatsu-overlay tatsu-section-overlay\"><\/div><style>.tatsu-g7aq3fj1979edlh9 .tatsu-section-pad{padding: 15px 0px 15px 0px;}.tatsu-g7aq3fj1979edlh9 > .tatsu-bottom-divider{z-index: 9999;}.tatsu-g7aq3fj1979edlh9 > .tatsu-top-divider{z-index: 9999;}.tatsu-g7aq3fj1979edlh9 .tatsu-section-overlay{mix-blend-mode: normal;}<\/style><\/div>\n","protected":false},"excerpt":{"rendered":"<p><a href=\"https:\/\/www.quantum-classical-physics.com\/qcp\/quantum-states-in-the-multipole-solutions-of-the-maxwells-equations-for-the-free-radiation-field\/\" class=\"more-link style1-button\">Read More<\/a><\/p>","protected":false},"author":1,"featured_media":206,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[5,3],"tags":[6,7,8,9,10,11],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Quantum states in the multipole solutions... - Quantum Classical Physics by Michele Marrocco<\/title>\n<meta name=\"description\" content=\"Quantum states in the multipole solutions of the Maxwell&#039;s equations for the free radiation field, Michele Marrocco. Classical electrodynamics built on the\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.quantum-classical-physics.com\/qcp\/quantum-states-in-the-multipole-solutions-of-the-maxwells-equations-for-the-free-radiation-field\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quantum states in the multipole solutions of the Maxwell&#039;s equations for the free radiation field\" \/>\n<meta property=\"og:description\" content=\"Quantum states in the multipole solutions of the Maxwell&#039;s equations for the free radiation field, Michele Marrocco. 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