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Bibliographic Details
Main Author: Sekine, Yoshitsugu
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.23497
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Table of Contents:
  • This paper is a collection of the author's computational notes on the van Hove model and contains no essentially new results. We discuss, from both the operator-algebraic perspective via the Weyl algebra and the resolvent algebra and the functional integral approach, the removal of infrared and ultraviolet cutoffs and the existence of the ground state and $β$-KMS states in the case of a point source. In the infinite-volume system at finite temperature, Bose--Einstein condensation can arise.