{"id":138383,"date":"2015-10-30T03:00:00","date_gmt":"2015-10-30T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=e2a3989dc4705b00fa58fdbd72b1475f"},"modified":"2015-10-30T03:00:00","modified_gmt":"2015-10-30T00:00:00","slug":"a-physically-motivated-quantization-of-the-electromagnetic-field","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=138383","title":{"rendered":"A physically motivated quantization of the electromagnetic field"},"content":{"rendered":"<p>The notion that the electromagnetic field is quantized is usually inferred from observations such as<br \/>\nthe photoelectric effect and the black-body spectrum. However accounts of the quantization of this<br \/>\nfield are usually mathematically motivated and begin by introducing a vector potential, followed by<br \/>\nthe imposition of a gauge that allows the manipulation of the solutions of Maxwell\u2019s equations into<br \/>\na form that is amenable for the machinery of canonical quantization. By contrast, here we quantize<br \/>\nthe electromagnetic field in a less mathematically and more physically motivated way. Starting from<br \/>\na direct description of what one sees in experiments, we show that the usual expressions of the<br \/>\nelectric and magnetic field observables follow from Heisenberg\u2019s equation of motion. In our<br \/>\ntreatment, there is no need to invoke the vector potential in a specific gauge and we avoid the<br \/>\ncommonly used notion of a fictitious cavity that applies boundary conditions to the field.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The notion that the electromagnetic field is quantized is usually inferred from observations such as<br \/>\nthe photoelectric effect and the black-body spectrum. However accounts of the quantization of this<br \/>\nfield are usually mathematically motivated and beg&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-138383","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/138383","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=138383"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/138383\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=138383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=138383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=138383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}