Phase transitions and quantum stabilization in quantum anharmonic crystals

Kargol A, Kondratiev Y, Kozitsky Y (2008)
REVIEWS IN MATHEMATICAL PHYSICS 20(5): 529-595.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Kargol, Alina; Kondratiev, YuriUniBi; Kozitsky, Yuri
Abstract / Bemerkung
A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. The theory is based on the representation of the model Gibbs states in terms of path measures (Euclidean Gibbs measures). It covers the case of crystals without translation invariance, as well as the case of asymmetric anharmonic potentials. The results obtained are compared with those known in the literature.
Stichworte
quantum crystal; phase transition; quantum effect; Euclidean Gibbs state
Erscheinungsjahr
2008
Zeitschriftentitel
REVIEWS IN MATHEMATICAL PHYSICS
Band
20
Ausgabe
5
Seite(n)
529-595
ISSN
0129-055X
Page URI
https://pub.uni-bielefeld.de/record/1586911

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Kargol A, Kondratiev Y, Kozitsky Y. Phase transitions and quantum stabilization in quantum anharmonic crystals. REVIEWS IN MATHEMATICAL PHYSICS. 2008;20(5):529-595.
Kargol, A., Kondratiev, Y., & Kozitsky, Y. (2008). Phase transitions and quantum stabilization in quantum anharmonic crystals. REVIEWS IN MATHEMATICAL PHYSICS, 20(5), 529-595. doi:10.1142/S0129055X08003353
Kargol, A., Kondratiev, Y., and Kozitsky, Y. (2008). Phase transitions and quantum stabilization in quantum anharmonic crystals. REVIEWS IN MATHEMATICAL PHYSICS 20, 529-595.
Kargol, A., Kondratiev, Y., & Kozitsky, Y., 2008. Phase transitions and quantum stabilization in quantum anharmonic crystals. REVIEWS IN MATHEMATICAL PHYSICS, 20(5), p 529-595.
A. Kargol, Y. Kondratiev, and Y. Kozitsky, “Phase transitions and quantum stabilization in quantum anharmonic crystals”, REVIEWS IN MATHEMATICAL PHYSICS, vol. 20, 2008, pp. 529-595.
Kargol, A., Kondratiev, Y., Kozitsky, Y.: Phase transitions and quantum stabilization in quantum anharmonic crystals. REVIEWS IN MATHEMATICAL PHYSICS. 20, 529-595 (2008).
Kargol, Alina, Kondratiev, Yuri, and Kozitsky, Yuri. “Phase transitions and quantum stabilization in quantum anharmonic crystals”. REVIEWS IN MATHEMATICAL PHYSICS 20.5 (2008): 529-595.