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  • Electronic Resource  (2)
  • classes of uniqueness of Gibbs fields  (1)
  • creation and annihilation operators  (1)
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  • Electronic Resource  (2)
Years
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Acta applicandae mathematicae 22 (1991), S. 117-137 
    ISSN: 1572-9036
    Keywords: 81F10 ; 81F20 ; Asymptotic completeness ; multiparticle system ; Fock space ; creation and annihilation operators ; Friedrichs diagrams
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A tagged particle interacting with a finite but unbounded number of particles is considered. Some examples of asymptotic completeness are given which are uniform in the number of particles.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 35 (1984), S. 375-379 
    ISSN: 1572-9613
    Keywords: Cluster expansion ; Gibbs fields ; random boundary conditions ; unbounded spin system ; Peierls argument ; classes of uniqueness of Gibbs fields
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For the unbounded spin systems one cannot get cluster expansion if there exist large enough boundary values. A simple idea to avoid these difficulties is to prove that with probabilityp Λ→ 1 when Λ↑ℤ v there is a large subvolume Λ′ of Λ such that on ∂Λ′ all spin values do not exceed some fixed number. This gives a new method to prove uniqueness results for the unbounded spin systems generalizing some results of Refs. 1 and 2. The formulations of these results are in Section 1; the proofs are in Section 2.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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