73 citations · 351 across the 41 of their papers we have counts for
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Operators and their symbols in the optical probabilistic representation of quantum mechanics
Grigori G. Amosov, Yakov A. Korennoy, Vladimir I. Man'ko
Explicit expressions for most interesting quantum operators in optical tomography representation are found. General formalism of symbols of operators is presented in optical tomogr…
Propagator of Quantum Systems in the Probability Representation
Yakov A. Korennoy, Vladimir I. Man'ko
The evolution equation for the propagator of the quantum system in the optical probability representation (optical propagator) is obtained. The relations between the optical and qu…
Probability representation of quantum evolution and energy level equations for optical tomograms
Ya. A. Korennoy, V. I. Man'ko
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 c…
Unitary and Non-Unitary Matrices as a Source of Different Bases of Operators Acting on Hilbert Spaces
S. N. Filippov, V. I. Man'ko
Columns of d^2 x N matrices are shown to create different sets of N operators acting on -dimensional Hilbert space. This construction corresponds to a formalism of the star-prod…