{"id":4250,"date":"2024-09-22T16:15:13","date_gmt":"2024-09-22T16:15:13","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=4250"},"modified":"2024-09-22T16:15:14","modified_gmt":"2024-09-22T16:15:14","slug":"what-is-the-density-operator-in-classical-mechanics","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/09\/22\/what-is-the-density-operator-in-classical-mechanics\/","title":{"rendered":"What is the density operator in classical mechanics?"},"content":{"rendered":"\n<p>In summary, the density operator is\u00a0<strong>a positive semi-definite, self-adjoint operator with trace equal to unity<\/strong>. The eigenvalues of a positive semi-definite operator are real numbers greater than or equal to zero; thus, the operator must have a positive trace and a non-negative determinant<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In summary, the density operator is\u00a0a positive semi-definite, self-adjoint operator with trace equal to unity. The eigenvalues of a positive semi-definite operator are real numbers greater than or equal to zero; thus, the operator must have a positive trace and a non-negative determinant<\/p>\n","protected":false},"author":1,"featured_media":4020,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[504],"tags":[],"class_list":["post-4250","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mixed-states-open-systems-and-the-density-operator"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/09\/quantum-1.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4250","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=4250"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4250\/revisions"}],"predecessor-version":[{"id":4251,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4250\/revisions\/4251"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/4020"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=4250"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=4250"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=4250"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}