Stochastic Dynamics of Quantum-Mechanical Systems

1961/02/01 by E. C. G. Sudarshan, P. M. Mathews, Jayaseetha Rau · 24 citations
Physics and Astronomy · Mathematics · #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Advanced Thermodynamics and Statistical Mechanics #Hamiltonian (control theory) #Quantum #Hamiltonian system #Dynamical systems theory #Statistical physics #Mechanical system #Physics #Classical mechanics #Stochastic dynamics #Quantum mechanics #Mathematics #Computer science #Mathematical optimization

paper · doi:10.1103/physrev.121.920

openalex publication_date 1961/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/11

Abstract

The most general dynamical law for a quantum mechanical system with a finite number of levels is formulated. A fundamental role is played by the so-called "dynamical matrix" whose properties are stated in a sequence of theorems. A necessary and sufficient criterion for distinguishing dynamical matrices corresponding to a Hamiltonian time-dependence is formulated. The non-Hamiltonian case is discussed in detail and the application to paramagnetic relaxation is outlined.

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