Spin Kinetic Equations in the Probability Representation of Quantum Mechanics

2019/09/01 by Vladimir N. Chernega, Vladimir I. Man'ko, Vladimir I. Man’ko · 3 citations
Computer Science · Physics and Astronomy · #Master equation #Probability amplitude #Probability current #Probability distribution #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum dynamics #Quantum statistical mechanics #Representation (politics) #Spin (aerodynamics) #quant-ph

paper · pdf · doi:10.1007/s10946-019-09830-3

published in Journal of Russian Laser Research 40(5), 496-502 (Springer Science+Business Media)

openalex publication_date 2019/09/01 · openalex created_date 2019/12/05 · arxiv created 2020/03/01 · arxiv updated 2020/03/03 · openalex updated_date 2026/08/05

Abstract

We discuss the possibility to formulate the dynamics of spin states described by the Schrodinger equation for pure states and the von Neumann equation (as well as the GKSL equation) for mixed states in the form of quantum kinetic equations for probability distributions. We review an approach to the spin-state description by means of the probability distributions of dichotomic random variables.

Citations

• A Mathematical Theory of Communication
• Stochastic Dynamics of Quantum-Mechanical Systems
• Completely positive dynamical semigroups of N-level systems
• Probability representation of quantum dynamics using pseudostochastic maps