Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations

Details Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations Algebraic structure of the Feynman propagator and a new correspondence for canonical transformations

2007-07-31

arxiv.org/abs/0707.4531v1

J. Math. Phys. 48, 072102 (2007)

Physics

Quantum Physics

Scientific paper

10.1063/1.2748378

We investigate the algebraic structure of the Feynman propagator with a general time-dependent 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.

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