{"id":140511,"date":"2015-11-04T03:00:00","date_gmt":"2015-11-04T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=a5debfe3ee9b4adafcf2121b6c036fa3"},"modified":"2015-11-04T03:00:00","modified_gmt":"2015-11-04T00:00:00","slug":"invariance-of-the-noether-charge","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=140511","title":{"rendered":"Invariance of the Noether charge"},"content":{"rendered":"<p>Surprisingly, an interesting property of the Noether charge that it is by itself invariant under the<br \/>\ncorresponding symmetry transformation is never discussed in quantum field theory or classical<br \/>\nmechanics textbooks we have checked. This property is also almost never mentioned in articles<br \/>\ndevoted to Noether\u2019s theorem. Nevertheless, to prove this property in the context of Lagrangian<br \/>\nformalism is not quite trivial and the proof, outlined in this article, can constitute an useful and<br \/>\ninteresting exercise for students.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Surprisingly, an interesting property of the Noether charge that it is by itself invariant under the<br \/>\ncorresponding symmetry transformation is never discussed in quantum field theory or classical<br \/>\nmechanics textbooks we have checked. This property is a&#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-140511","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\/140511","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=140511"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/140511\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=140511"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=140511"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=140511"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}