Zobrazeno 1 - 10
of 60
pro vyhledávání: '"82.46"'
Autor:
André Verbeure, Mark Fannes
Publikováno v:
Comm. Math. Phys. 55, no. 2 (1977), 125-131
For an infinite dynamical system, idealized as a von Neumann algebra acted upon by a time translation implemented by a HamiltonianH, we characterize equilibrium states (KMS) by stationarity, a Bogoliubov-type inequality and continuous spectrum ofH, e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4aaeb1c451863b309016feaba5da41a8
https://doi.org/10.1007/bf01626515
https://doi.org/10.1007/bf01626515
Autor:
Huzihiro Araki, Akitaka Kishimoto
Publikováno v:
Comm. Math. Phys. 52, no. 3 (1977), 211-232
Within the general framework ofC*-algebra approach to mathematical foundation of statistical mechanics, we prove a theorem which gives a natural explanation for the appearance of the chemical potential (as a thermodynamical parameter labelling equili
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23a2f85a2fd54b08ce814cb78dff44ab
https://doi.org/10.1007/bf01609483
https://doi.org/10.1007/bf01609483
Autor:
Derek W. Robinson, Heidi Narnhofer
Publikováno v:
Comm. Math. Phys. 41, no. 1 (1975), 89-97
A notion of stability of dynamics under distant perturbations is introduced. It is demonstrated, for quasi-local systems, that the stability of an equilibrium state under the same perturbations implies the state is factorial, i.e. strongly clustering
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d92e9be656a570113177c9ee69122e3e
https://doi.org/10.1007/bf01608550
https://doi.org/10.1007/bf01608550
Publikováno v:
Comm. Math. Phys. 38, no. 3 (1974), 173-193
For an infinite dynamical quantum system idealized as aC*-algebra acted upon by time-translations automorphisms in an asymptotically abelian way, we propose to characterize equilibrium states by the three properties of stationarity, stability for loc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d67b7dea95d192458a60a5e54d04c26d
https://doi.org/10.1007/bf01651541
https://doi.org/10.1007/bf01651541
Autor:
Göran Lindblad
Publikováno v:
Comm. Math. Phys. 33, no. 4 (1973), 305-322
The conditional entropy between two states of a quantum system is shown to be nonincreasing when a complete measurement is performed on the system. The information between two quantum systems is defined and is shown to be bounded above by the logarit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a3fe0f9779ef365bb33b15011a4cc89
https://doi.org/10.1007/bf01646743
https://doi.org/10.1007/bf01646743
Autor:
Derek W. Robinson, Elliott H. Lieb
Publikováno v:
Statistical Mechanics ISBN: 9783642060922
Comm. Math. Phys. 28, no. 3 (1972), 251-257
Comm. Math. Phys. 28, no. 3 (1972), 251-257
It is shown that if Ф is a finite range interaction of a quantum spin system, τ t Ф the associated group of time translations, τ x the group of space translations, and A, B local observables, then $$ \mathop {{\text{lim}}}\limits_{\mathop {\left|
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfc88197ab33790414706ddaf407da85
https://doi.org/10.1007/bf01645779
https://doi.org/10.1007/bf01645779
Autor:
David Ruelle
Publikováno v:
Comm. Math. Phys. 9, no. 4 (1968), 267-278
We study the statistical mechanics of an infinite one-dimensional classical lattice gas. Extending a result ofvan Hove we show that, for a large class of interactions, such a system has no phase transition. The equilibrium state of the system is repr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::870e149525743e21686d6b05e337c329
https://doi.org/10.1007/bf01654281
https://doi.org/10.1007/bf01654281
Autor:
Mark Fannes
Publikováno v:
Comm. Math. Phys. 31, no. 4 (1973), 279-290
For lattice invariant quasi free states on the Fermi lattice system the mean entropy is explicitly calculated; it is proved that it is a norm continuous functional on this set of states which is not weakly continuous.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a7f8674b773a2fd48117e5b042f2490
https://doi.org/10.1007/bf01646489
https://doi.org/10.1007/bf01646489
Autor:
F. Rocca, M. Sirugue
Publikováno v:
Comm. Math. Phys. 34, no. 2 (1973), 111-121
We prove the non existence of a self adjoint phase operator for systems with a finite number of degrees of freedom and for systems with an infinite number of degrees of freedom but enclosed in a finite box. We explicitely construct an example of a ph
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c6dccd5607f0697fb1b365c7896fac1
https://doi.org/10.1007/bf01646440
https://doi.org/10.1007/bf01646440
Publikováno v:
Comm. Math. Phys. 27, no. 4 (1972), 327-338
A generalized definition of entropy for any state on aC* algebra is given and studied. We prove that the entropy characterizes uniquely the normal states.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7045b6d43fef5f1724677a68fd2a553d
https://doi.org/10.1007/bf01645519
https://doi.org/10.1007/bf01645519