<html><head></head><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif;font-size:16px"><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr"><br></div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr">All</div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr"><br></div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr">FWIW</div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr"><br></div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr">David</div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr"><br></div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr"><a href="http://nextbigfuture.com/2015/10/electromagnetic-interaction-traced-to.html" id="yui_3_16_0_1_1444705479472_5865">Next Big Future: Electromagnetic Interaction traced to Dirac Equation</a><br></div><div style="width:450px; font-family: 'Georgia', 'Times', 'Times New Roman', 'serif';margin-top:5px; margin-bottom: 5px; background-color: #ffffff;" contenteditable="false" id="enhancrCard_1" class="link-enhancr-attachment link-enhancr-element richcompose-card"><table class="link-enhancr-element" cellspacing="0" cellpadding="0" border="0" style="width:450px; 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background-color: rgb(255, 255, 255); border-collapse: collapse;" id="yui_3_16_0_1_1444705479472_5936"><div class="link-enhancr-element" style="width: 168px;" align="center" id="yui_3_16_0_1_1444705479472_8768"><a href="http://nextbigfuture.com/2015/10/electromagnetic-interaction-traced-to.html" class="link-enhancr-card-urlWrapper link-enhancr-element" style="text-decoration: none !important;text-decoration:none; color: #000000 !important;" id="yui_3_16_0_1_1444705479472_8767"><img alt="image" src="http://4.bp.blogspot.com/-1HA4rpZsfJ0/VhwwWXR1p-I/AAAAAAABDK8/TsCFCadzOmk/s400/diraccones.jpg" class="link-enhancr-thumbnail-image link-enhancr-element yahoo-ignore-inline-image" width="168" height="130" style="display: block; margin: auto;" data-id="fe23742a-92b5-e4a2-f038-61bb7fb3ddcd" id="yui_3_16_0_1_1444705479472_8766"></a></div></td><td rowspan="5" class="link-enhancr-element" style="width: 1px; background-color: #e5e5e5; font-size: 0pt; border-collapse: collapse;" id="yui_3_16_0_1_1444705479472_8765"><div class="link-enhancr-element" style="width: 1px; 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background-color: #e5e5e5; font-size: 1pt; border-collapse: collapse;"><div class="link-enhancr-element" style="width: 1px; background-color: #e5e5e5; font-size: 1pt;"> </div></td></tr><tr id="yui_3_16_0_1_1444705479472_5896"><td class="link-enhancr-element" colspan="2" style="width: 100%; vertical-align: middle; font-family: 'Georgia', 'Times', 'Times New Roman', 'serif';" id="yui_3_16_0_1_1444705479472_5895"><div class="link-enhancr-text-part link-enhancr-element" style="line-height:16.5px; background-color: #ffffff; height: 135px; width: 245px;" id="yui_3_16_0_1_1444705479472_5894"><div class="link-enhancr-element" style="word-wrap: break-word; word-break: break-all;" id="yui_3_16_0_1_1444705479472_5898"><span class="link-enhancr-element icon icon-shrink link-enhancr-toggle" id="yui_3_16_0_1_1444705479472_9042"></span><span class="link-enhancr-element icon icon-close link-enhancr-delete" id="yui_3_16_0_1_1444705479472_9041"></span><a href="http://nextbigfuture.com/2015/10/electromagnetic-interaction-traced-to.html" class="link-enhancr-card-urlWrapper link-enhancr-element" style="text-decoration: none !important;text-decoration:none; color: #000000 !important; line-height: 100%; font-size: 18px; display: block;" id="yui_3_16_0_1_1444705479472_5899"><span class="link-enhancr-element link-enhancr-card-title" style="margin: 0; font-weight: normal;margin-bottom: 3px; font-size: 18px; line-height: 21px; max-height: 43px; color: #000000; overflow: hidden !important; display: inline-block;" id="yui_3_16_0_1_1444705479472_5900">Next Big Future: Electromagnetic Interaction traced to D...</span></a><div style="font-size: 13px; line-height: 20px; color: #999999; max-height: 81px; font-family: 'Georgia', 'Times', 'Times New Roman', 'serif';overflow: hidden;" class="link-enhancr-card-description link-enhancr-element" id="yui_3_16_0_1_1444705479472_5897">An international group of physicists has traced the origin of an electromagnetic interaction to the Dirac equation, a fundamental equation of quantum physics. </div></div></div></td></tr><tr id="yui_3_16_0_1_1444705479472_8740"><td colspan="2" class="link-enhancr-element" style="height: 4px; 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font-size: 9px; line-height: 11px; color: #999999; -moz-text-size-adjust: none; -ms-text-size-adjust: none; -webkit-text-size-adjust:none; text-size-adjust:none;">Preview by Yahoo</span></div></td></tr><tr id="yui_3_16_0_1_1444705479472_5885"><td colspan="2" class="link-enhancr-element" style="height: 9px; background-color: #ffffff; font-size: 0pt; border-collapse: collapse;" id="yui_3_16_0_1_1444705479472_5884"><div class="link-enhancr-element" style="height: 9px; background-color: #ffffff; font-size: 9pt;" id="yui_3_16_0_1_1444705479472_5883"></div></td></tr><tr class="link-enhancr-element"><td class="link-enhancr-element" colspan="8" style="height: 1px; background-color: #e5e5e5; font-size: 1px; border-collapse: collapse;"><div class="link-enhancr-element" style="height: 1px; background-color: #e5e5e5; font-size: 1px; line-height:0px"> </div></td></tr></tbody></table></div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr"><br></div><div id="yui_3_16_0_1_1444705479472_5797">Phys Rev B paper</div><div id="yui_3_16_0_1_1444705479472_5800" dir="ltr"><a href="http://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.100402" id="yui_3_16_0_1_1444705479472_5798">Relativistic interaction Hamiltonian coupling the angular momentum of light and the electron spin</a></div><div id="yui_3_16_0_1_1444705479472_5800" dir="ltr"><br></div><div id="yui_3_16_0_1_1444705479472_5800" dir="ltr">ABSTRACT</div><div id="yui_3_16_0_1_1444705479472_5800" dir="ltr"><span style="color: rgb(51, 51, 51); font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px;" id="yui_3_16_0_1_1444705479472_8898" class="">On the basis of the Dirac equation, <b id="yui_3_16_0_1_1444705479472_9015"><i id="yui_3_16_0_1_1444705479472_9014">a relativistic interaction Hamiltonian is derived which linearly couples the angular momentum density j of the electromagnetic (EM) field and the electron's spin σ. </i></b>The expectation value of this novel Hamiltonian is demonstrated to be precisely the recently proposed energy coupling the EM angular momentum density and magnetic moments [A. Raeliarijaona et al., Phys. Rev. Lett. 110, 137205 (2013)]. This previously overlooked Hamiltonian is also found to naturally result in the exact analytical form of the interaction energy inherent to the inverse Faraday effect, therefore demonstrating its relevance and easy use for the derivation of other complex magneto-optical and magnetoelectric effects originating from electron spin-light angular momentum couplings.</span><br></div><div id="yui_3_16_0_1_1444705479472_5800" dir="ltr"><span style="color: rgb(51, 51, 51); font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 15px;" class=""><br></span></div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr" class=""><a href="http://www.researchgate.net/publication/281685821_Relativistic_interaction_Hamiltonian_coupling_the_angular_momentum_of_light_and_the_electron_spin" id="yui_3_16_0_1_1444705479472_5638" class="">Research Gate - Preprint</a><br class="" id="yui_3_16_0_1_1444705479472_5842"></div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr" class=""><br></div><div id="yui_3_16_0_1_1444705479472_5628" dir="ltr" class=""><br></div><blockquote style="border-left: 2px solid rgb(16, 16, 255); margin-left: 5px; margin-top: 5px; padding-left: 5px;" id="yui_3_16_0_1_1444705479472_5609"><div style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 16px;" id="yui_3_16_0_1_1444705479472_5608"><div style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 16px;" id="yui_3_16_0_1_1444705479472_5607"><div class="y_msg_container" id="yui_3_16_0_1_1444705479472_5767"><br></div> </div> </div> </blockquote> </div></body></html>