Small mass implies uniqueness of Gibbs states of a quantum crystal

Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M (2003)
COMMUNICATIONS IN MATHEMATICAL PHYSICS 241(1): 69-90.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Albeverio, Sergio; Kondratiev, YuriUniBi; Kozitsky, Yuri; Röckner, MichaelUniBi
Abstract / Bemerkung
A model of interacting quantum particles performing one-dimensional anharmonic oscillations around their equilibrium positions which form a lattice Z(d) is considered. For this model, it is proved that the set of tempered Euclidean Gibbs measures is a singleton provided the particle mass is less than a certain bound m(*), which is independent of the temperature beta(-1). This settles a problem that was open for a long time and is an essential improvement of a similar result proved before by the same authors [5], where the bound m(*) depended on beta in such a way that m(*) (beta) --> 0 as beta --> +infinity.
Erscheinungsjahr
2003
Zeitschriftentitel
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Band
241
Ausgabe
1
Seite(n)
69-90
ISSN
0010-3616
Page URI
https://pub.uni-bielefeld.de/record/1609941

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Albeverio S, Kondratiev Y, Kozitsky Y, Röckner M. Small mass implies uniqueness of Gibbs states of a quantum crystal. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2003;241(1):69-90.
Albeverio, S., Kondratiev, Y., Kozitsky, Y., & Röckner, M. (2003). Small mass implies uniqueness of Gibbs states of a quantum crystal. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 241(1), 69-90. https://doi.org/10.1007/s00220-003-0923-4
Albeverio, S., Kondratiev, Y., Kozitsky, Y., and Röckner, M. (2003). Small mass implies uniqueness of Gibbs states of a quantum crystal. COMMUNICATIONS IN MATHEMATICAL PHYSICS 241, 69-90.
Albeverio, S., et al., 2003. Small mass implies uniqueness of Gibbs states of a quantum crystal. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 241(1), p 69-90.
S. Albeverio, et al., “Small mass implies uniqueness of Gibbs states of a quantum crystal”, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 241, 2003, pp. 69-90.
Albeverio, S., Kondratiev, Y., Kozitsky, Y., Röckner, M.: Small mass implies uniqueness of Gibbs states of a quantum crystal. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 241, 69-90 (2003).
Albeverio, Sergio, Kondratiev, Yuri, Kozitsky, Yuri, and Röckner, Michael. “Small mass implies uniqueness of Gibbs states of a quantum crystal”. COMMUNICATIONS IN MATHEMATICAL PHYSICS 241.1 (2003): 69-90.

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