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Natural Science Forum / Physics / Particle Physics / February 2008Wanted: A Definition of "equal time commutation relation"
Hello All, I am currently working through a copy of _The Physics of Time Reversal_ by Sachs. Sachs often refers to an "equal time commutation relation." I remember studying commutation relations in Bransden & Joachain's textbook when I took quantum mechanics, but I do not recall any mention of 'equal time' commutation relations. If any one could give me a quick definition of this form of commutation relations, I would greatly appreciate it. Thank you. LS Thomas >Hello All, > [quoted text clipped - 10 lines] > >LS Thomas In quantum field theory the basic variables ("fields") depend on space and time. An equal time commutation relation is a commutation where the variables are taken to have the same time, eg [ phi(t,x) , pi(t,y)] = something Quantum mechanical commutation relations are implicitly "equal time", which is why you didn't run into this in Joachain. |
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