Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Dynamics of System States in the Probability Representation of Quantum Mechanics

These authors contributed equally to the work.
Version 1 : Received: 19 April 2023 / Approved: 23 April 2023 / Online: 23 April 2023 (08:30:06 CEST)

A peer-reviewed article of this Preprint also exists.

Chernega, V.N.; Man’ko, O.V. Dynamics of System States in the Probability Representation of Quantum Mechanics. Entropy 2023, 25, 785. Chernega, V.N.; Man’ko, O.V. Dynamics of System States in the Probability Representation of Quantum Mechanics. Entropy 2023, 25, 785.

Abstract

The evolution of even and odd Schrödinger cat states of the inverted oscillator is obtained in the center-of-mass tomographic probability description of the two-mode oscillator.The notion of entangled probability distribution is reviewed. Evolution equations describing the time-dependence of probability distributions identified with quantum system states are discussed.The connection with the Schrödinger equation and the von Neumann equation is clarified.

Keywords

probability distributions; entanglement; quantizer operator; dequantizer operator; 7 symplectic tomography; center-of-mass tomography, even and odd cat states

Subject

Physical Sciences, Theoretical Physics

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