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Kluwer Academic Publishers eBooks

On Positivity of Rate of Entropy in Quantum-Thermodynamics

Martin Kaufmann, W. Muschik, D. Schirrmeister

Published Nov 30, 2005• 0 citations
Publisher

Abstract

The rate of entropy is discussed for several different dynamics of the generalized canonical operator: Canonical dynamics, Robertson dynamics, and contact time dynamics. For two discrete systems in contact the rate of entropy is positive definite, if the contact time is short, and if one of the two discrete systems is in equilibrium and the compound system of both is isolated. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

DOI
10.1007/0-306-46932-4_1

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The rate of entropy is discussed for several different dynamics of the generalized canonical operator: Canonical dynamics, Robertson dynamics, and contact time dynamics. For two discrete systems in contact the rate of entropy is positive definite, if the contact time is short, and if one of the two discrete systems is in equilibrium and the compound system of both is isolated. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Different spectral subspaces of a self-adjoint operator T in general entail different behaviors of the unitary evolution group e −itT (particularly as | t |→∞). In this chapter many such dynamical issues are discussed; the main motivation is when T corresponds to the Schrödinger operator of a quantum system. Some related physical concepts, such as quantum return probability and test operators, are used to probe the large-time behaviors. The cornerstones of such results are the concepts of precompactness, almost periodicity and the Wiener and Riemann-Lebesgue lemmas. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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A time-reversible cellular automaton can most easily be described by regarding its evolution law as a two-step process, for instance by first allowing the even sites to update, then the odd sites. The discrete Hamiltonian operator procedure of Chap. 19 may be used. Subsequently, we apply a perturbative algebra, starting from the Baker Campbell Hausdorff expansion. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.