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Quantized Kronecker flows and almost periodic quantum field theory (1997)

Klimek, Slawomir

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 38 (1997), S. 5605-5625

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: We define and study the properties of the infinite-dimensional quantized Kronecker flow. This C*-dynamical system arises as a quantization of the corresponding flow on an infinite-dimensional torus. We prove an ergodic theorem for a class of quantized Kronecker flows. We also study the closely related, almost periodic quantum field theory of bosonic, fermionic, and supersymmetric particles. We prove the existence and uniqueness of KMS and super-KMS states for the C*-algebras of observables arising in these theories. © 1997 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.532154

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