The thermodynamics of black holes.
Wald, Robert M. (2001)
Living Reviews in Relativity [electronic only]
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Wald, Robert M. (2001)
Living Reviews in Relativity [electronic only]
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Miguel Escobedo, Stéphane Mischler, Manuel A. Valle (2005)
Bulletin de la Société Mathématique de France
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The entropy of an ideal gas, both in the case of classical and quantum particles, is maximised when the number particle density, linear momentum and energy are fixed. The dispersion law energy to momentum is chosen as linear or quadratic, corresponding to non-relativistic or relativistic behaviour.
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.
Woo, C.H. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ingo Müller (1974)
Annales de l'I.H.P. Physique théorique
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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.
Chakrabarti, C.G., De, Kajal (2000)
International Journal of Mathematics and Mathematical Sciences
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D. Pavón, D. Jou, J. Casas-Vázquez (1982)
Annales de l'I.H.P. Physique théorique
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Elliott H. Lieb, Mary Beth Ruskai (1973)
Recherche Coopérative sur Programme n°25
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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...
Elliott H. Lieb, Mary Beth Ruskai (1973)
Recherche Coopérative sur Programme n°25
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