Stochastic dynamics of quantum-mechanical systems

Sudarshan, E. C. G. ; Mathews, P. M. ; Rau, Jayaseetha (1961) Stochastic dynamics of quantum-mechanical systems Physical Review, 121 (3). pp. 920-924. ISSN 0031-899X

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Official URL: http://link.aps.org/doi/10.1103/PhysRev.121.920

Related URL: http://dx.doi.org/10.1103/PhysRev.121.920

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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