Displaying similar documents to “Entropy maximisation problem for quantum relativistic particles”

Comparing quantum dynamical entropies

P. Tuyls (1998)

Banach Center Publications

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Last years, the search for a good theory of quantum dynamical entropy has been very much intensified. This is not only due to its usefulness in quantum probability but mainly because it is a very promising tool for the theory of quantum chaos. Nowadays, there are several constructions which try to fulfill this need, some of which are more mathematically inspired such as CNT (Connes, Narnhofer, Thirring), and the one proposed by Voiculescu, others are more inspired by physics such as...

Quantum dynamical entropy revisited

Thomas Hudetz (1998)

Banach Center Publications

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We define a new quantum dynamical entropy for a C*-algebra automorphism with an invariant state (and for an appropriate 'approximating' subalgebra), which entropy is a 'hybrid' of the two alternative definitions by Connes, Narnhofer and Thirring resp. by Alicki and Fannes (and earlier, Lindblad). We report on this entropy's properties and on three examples.

Wehrl entropy of the state in a two-atom Tavis-Cummings model

Debraj Nath, P. K. Das (2011)

Banach Center Publications

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In this paper we present an entropic description of quantum state obtained by interaction of one mode of quantized electromagnetic field with two two-level atoms inside a cavity, known as Tavis-Cumming model. Wehrl entropy has been calculated analytically and investigated as a function of the average value of the photon number operator. Husimi's Q function has been calculated and compared with the behaviour of the field entropy.

Velocity and Entropy of Motion in Periodic Potentials

Andreas Knauf (1996-1997)

Séminaire Équations aux dérivées partielles

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This is a report on recent joint work with J. Asch, and with T. Hudetz and F. Benatti. We consider classical, quantum and semiclassical motion in periodic potentials and prove various results on the distribution of asymptotic velocities. The Kolmogorov-Sinai entropy and its quantum generalization, the Connes-Narnhofer-Thirring entropy, of the single particle and of a gas of noninteracting particles are related.