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- W3089460080 abstract "This paper focuses on infinite-volume bosonic states for a quantum particle system (a quantum gas) in Rd. The kinetic energy part of the Hamiltonian is the standard Laplacian (with a boundary condition at the border of a ‘box’). The particles interact with each other through a two-body finite-range potential depending on the distance between them and featuring a hard core of diameter a>0. We introduce a class of so-called FK-DLR functionals containing all limiting Gibbs states of the system. As a justification of this concept, we prove that for d=2, any FK-DLR functional is shift-invariant, regardless of whether it is unique or not. This yields a quantum analog of results previously achieved by Richthammer." @default.
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- W3089460080 date "2020-10-01" @default.
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- W3089460080 title "The Feynman–Kac Representation and Dobrushin–Lanford–Ruelle States of a Quantum Bose-Gas" @default.
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- W3089460080 doi "https://doi.org/10.3390/math8101683" @default.
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