``Classical'' Propagator and Path Integral in the Probability Representation of Quantum Mechanics

Details ``Classical'' Propagator and Path Integral in the Probability Representation of Quantum Mechanics ``Classical'' Propagator and Path Integral in the Probability Representation of Quantum Mechanics

1999-03-01

arxiv.org/abs/quant-ph/9903002v1

Physics

Quantum Physics

LATEX,10 pages,accepted by Journal of Russian Laser Research,1999

Scientific paper

In the probability representation of the standard quantum mechanics, the explicit expression (and its quasiclassical van-Fleck approximation) for the ``classical'' propagator (transition probability distribution), which completely describes the quantum system's evolution, is found in terms of the quantum propagator. An expression for the ``classical'' propagator in terms of path integral is derived. Examples of free motion and harmonic oscillator are considered. The evolution equation in the Bargmann representation of the optical tomography approach is obtained.

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