ISSN:
1572-9613
Keywords:
Quantum systems
;
Gibbs states
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We consider an infinite chain of interacting quantum (anharmonic) oscillators. The pair potential for the oscillators at lattice distanced is proportional to {d 2[log(d+1)]F(d)}−1 where ∑ r∈Z [rF(r)]−1 〈 ∞. We prove that for any value of the inverse temperatureβ〉 0 there exists a limiting Gibbs state which is translationally invariant and ergodic. Furthermore, it is analytic in a natural sense. This shows the absence of phase transitions in the systems under consideration for any value of the thermodynamic parameters.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01053604
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