Probability representation of quantum evolution and energy level equations for optical tomograms

Details Probability representation of quantum evolution and energy level equations for optical tomograms Probability representation of quantum evolution and energy level equations for optical tomograms

2011-01-13

arxiv.org/abs/1101.2537v1

Physics

Quantum Physics

14 pages submitted to Journal of Russian Laser Research

Scientific paper

The von Neumann evolution equation for density matrix and the Moyal equation for the Wigner function are mapped onto evolution equation for optical tomogram of quantum state. The connection with known evolution equation for symplectic tomogram of the quantum state is clarified. The stationary states corresponding to quantum energy levels are associated with the probability representation of the von Neumann and Moyal equations written for the optical tomograms. Classical Liouville equation for optical tomogram is obtained. Example of parametric oscillator is considered in detail.

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