Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations
نویسندگان
چکیده
We investigate the algebraic structure of the Feynman propagator with a general timedependent quadratic Hamiltonian system. Using the Lie-algebraic technique we obtain a normal-ordered form of the time-evolution operator, and then the propagator is easily derived by a simple “Integration Within Ordered Product” (IWOP) technique.It is found that this propagator contains a classical generating function which demonstrates a new correspondence between classical and quantum mechanics. PACS numbers: 03.65.Ca, 03.65.Fd, 03.65.Sq
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تاریخ انتشار 2008