There\u2019s no problem with solving<\/i> the Klein-Gordon Equation. It\u2019s just that some<\/i> of the solutions have a form for which [math]H\\Psi=i\\frac{d\\Psi}{dt}=E\\Psi[\/math] with arbitrarily large negative values of [math]E[\/math]. If we were to try to interpret the solution as a quantum wavefunction this would correspond to having no lower bound on the energy – which is physically unstable.<\/p>\n
Source: (128) Alan Cooper’s answer to What is the problem associated with solving Klein-Gordon partial differential equations? – Quora<\/a><\/em><\/p>\n","protected":false},"excerpt":{"rendered":" There\u2019s no problem with solving the Klein-Gordon Equation. It\u2019s just that some of the solutions have a form for which [math]H\\Psi=i\\frac{d\\Psi}{dt}=E\\Psi[\/math] with arbitrarily large negative values of [math]E[\/math]. If we were to try to interpret the solution as a quantum wavefunction this would correspond to having no lower bound on the energy – which is … Continue reading What is the problem associated with solving Klein-Gordon partial differential equations? – Quora<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,4],"tags":[30],"topics":[29,14],"class_list":["post-405","post","type-post","status-publish","format-standard","hentry","category-all","category-quora-answers","tag-negative-energy","topics-klein-gordon-equation","topics-quantum"],"_links":{"self":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/posts\/405","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/comments?post=405"}],"version-history":[{"count":2,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/posts\/405\/revisions"}],"predecessor-version":[{"id":408,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/posts\/405\/revisions\/408"}],"wp:attachment":[{"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/media?parent=405"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/categories?post=405"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/tags?post=405"},{"taxonomy":"topics","embeddable":true,"href":"https:\/\/qpr.ca\/blogs\/physics\/wp-json\/wp\/v2\/topics?post=405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}