A True Equation to Couple Classical and Quantum Dynamics

Details A True Equation to Couple Classical and Quantum Dynamics A True Equation to Couple Classical and Quantum Dynamics

1995-10-26

arxiv.org/abs/quant-ph/9510028v1

Physics

Quantum Physics

8pp LaTeX

Scientific paper

Starting from the Schr\"odinger-equation of a composite system, we derive unified dynamics of a classical harmonic system coupled to an arbitrary quantized system. The classical subsystem is described by random phase-space coordinates entangled with the quantized variables of the complementary subsystem. Our semiclassical equation is {\it true} in a sense that its predictions are identical to those of the fully quantized composite dynamics. This exact method applies to a broad class of theories, including e.g. the relativistic quantum-electrodynamics and the electron-fonon dynamics.

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