{"id":68273,"date":"2015-03-27T03:00:00","date_gmt":"2015-03-27T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=ac1ac46e173cde663c83b13e8c2346c5"},"modified":"2015-03-27T03:00:00","modified_gmt":"2015-03-27T00:00:00","slug":"magnetic-monopoles-and-dyons-revisited-a-useful-contribution-to-the-study-of-classical-mechanics","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=68273","title":{"rendered":"Magnetic monopoles and dyons revisited: a useful contribution to the study of classical mechanics"},"content":{"rendered":"<p>Graduate-level physics curricula in many countries around the world, as well as senior-level<br \/>\nundergraduate ones in some major institutions, include classical mechanics courses, mostly based on<br \/>\nGoldstein\u2019s textbook masterpiece. During the discussion of central force motion, however, the Kepler<br \/>\nproblem is virtually the only serious application presented. In this paper, we present another<br \/>\nproblem that is also soluble, namely the interaction of Schwinger\u2019s dual-charged (dyon) particles.<br \/>\nWhile the electromagnetic interaction of magnetic monopoles and electric charges was studied in<br \/>\ndetail some 40 years ago, we consider that a pedagogical discussion of it from an essentially<br \/>\nclassical mechanics point of view is a useful contribution for students. Following a path that<br \/>\ngeneralizes Kepler\u2019s problem and Rutherford scattering, we show that they exhibit remarkable<br \/>\nproperties such as stable non-planar orbits, as well as rainbow and glory scattering, which are not<br \/>\npresent in the ordinary scat&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Graduate-level physics curricula in many countries around the world, as well as senior-level<br \/>\nundergraduate ones in some major institutions, include classical mechanics courses, mostly based on<br \/>\nGoldstein\u2019s textbook masterpiece. During the discussion&#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-68273","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\/68273","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=68273"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/68273\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=68273"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=68273"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=68273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}