Geometric and Probabilistic Aspects of Boson Lattice Models

  title={Geometric and Probabilistic Aspects of Boson Lattice Models},
  author={D. Ueltschi},
  journal={arXiv: Mathematical Physics},
  • D. Ueltschi
  • Published 2002
  • Physics, Mathematics
  • arXiv: Mathematical Physics
  • This review describes quantum systems of bosonic particles moving on a lattice. These models are relevant in statistical physics, and have natural ties with probability theory. The general setting is recalled and the main questions about phase transitions are addressed. A lattice model with Lennard-Jones potential is studied as an example of a system where first-order phase transitions occur. 

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