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- W2023570082 abstract "We invert the well-developed strategy of studying dynamics in terms of probability densities and investigate the problem of the most likely microscopic propagation scenario, which is consistent with the given priori (possibly phenomenological) input-output statistics data for the process taking place in a finite-time interval. A solution of this so-called Schrodinger problem is known to provide an adequate probabilistic framework for the measure preserving dynamics which is Markovian. We pay particular attention to the subclass of nonstationary solutions, determined by unitary-wave-packet evolution (Schrodinger wave mechanics). The existence of the pertinent Markovian diffusion is known on general grounds, but no explicit demonstration (through detailed computational arguments) until now was available even in the simplest cases. We give a definitive probabilistic description of the free quantum dynamics as a stochastic process solving Schrodinger's interpolation problem. The Markov diffusion arised as a particular case singled out by a suitable Feynman-Kac semigroup." @default.
- W2023570082 created "2016-06-24" @default.
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- W2023570082 date "1995-05-01" @default.
- W2023570082 modified "2023-10-17" @default.
- W2023570082 title "Why quantum dynamics can be formulated as a Markov process" @default.
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- W2023570082 doi "https://doi.org/10.1103/physreva.51.3445" @default.
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