Equation for the Probability of Quantum Transitions in the Method of Path Integrals and Stochastic Processes in the Space of Joint Events

The evolution of the system is described as a stochastic process in the space of random joint events, in which both a symmetric difference and a symmetric sum of events are introduced. The probability of a system transition between states is represented by a series of double, triple, etc., integrals...

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Bibliographic Details
Published in:Physics of particles and nuclei letters 2023-06, Vol.20 (3), p.421-424
Main Author: Biryukov, A. A.
Format: Article
Language:English
Subjects:
Integrals
Particle and Nuclear Physics
Physics
Physics and Astronomy
Physics of Elementary Particles and Atomic Nuclei. Theory
Probability theory
Quantum theory
Stochastic processes
Transition probabilities
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Summary:The evolution of the system is described as a stochastic process in the space of random joint events, in which both a symmetric difference and a symmetric sum of events are introduced. The probability of a system transition between states is represented by a series of double, triple, etc., integrals of real functionals of joint event trajectories. The expression coincides with the transition probability in quantum theory if only pairwise joint random trajectories are taken into account in the model.
ISSN:1547-4771
1531-8567
DOI:10.1134/S1547477123030135