Abstract
First a quantum Langevin equation is constructed by adding a noise term to the Schrödinger equation. This leads to the general form of a master equation for the evolution of the density matrix. In order to obtain the specific form for a given system it is necessary to include the interaction with a bath. The Markov property, however, can only be introduced by assumption. Here a specific soluble model is described, in which this assumption can be tested. It appears that the interaction must be weak, and that the temperature must be so high that the interaction is virtually classical.
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References
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© 1995 Springer Science+Business Media Dordrecht
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Van Kampen, N.G. (1995). Dissipation and Noise in Quantum Mechanics. In: Haba, Z., Cegła, W., Jakóbczyk, L. (eds) Stochasticity and Quantum Chaos. Mathematics and Its Applications, vol 317. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0169-1_12
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DOI: https://doi.org/10.1007/978-94-011-0169-1_12
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