2002/04/28 by Jerzy Stryla, Stryla, Jerzy
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #gr-qc #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0204161
7 pages, submitted to Chin. J. Phys. (Taipei)
arxiv created 2002/07/12 · arxiv updated 2009/11/30
I propose to treat quantum evolution as a stochastic process consisting from a sequence of doubly stochastic matrices, which naturally arise in the generalized quantum evolution. Then it is proved that the law of non-decreasing entropy is fulfilled and that the law characterizes doubly stochastic matrices. Finally, an application of the model to support the generalized second law of black hole thermodynamics and a relation to the quantum histories formulation of quantum physics appear.