Interacting Bose gas on the Lattice
نویسندگان
چکیده
A Lower bound for the density of a Bose gas in Z in the grand canonical ensemble is calculated for general dimension d, and for l(Z) potential interactions. The rigorous formalism of the measure on continuous time random walks, analogous to the Wiener measure, is briefly explained, along with justification of the Feynman-Kac formula using this. These are then used to bound the density, although with a flawed lemma. Throughout, attempts to further understand the discrete Gaussian are made. M. Egginton MA469 Interacting Bose gas on the Lattice ID: 0901849
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