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  • 1
    Electronic Resource
    Electronic Resource
    On the Gibbs states for one-dimensional lattice Boson systems with a long-range interaction (1993)
    Springer
    Journal of statistical physics 70 (1993), S. 985-1028 
    Details
    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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