Abstract
Classical lattice gases consisting of structureless particles (with spin) have been quantized by introducing a kinetic energy operator that produces nearest-neighbor hops. Systematic quantum corrections for the partition function and the particle distribution functions appear naturally as power series inX =βħ 2/2ml 2 (β −1 =k B T,m is the mass,l is a distance related to lattice spacing). These corrections require knowledge of certain particle displacement probabilities in the corresponding classical lattice gases. Leading-order corrections have been derived in forms that should facilitate their use in computer simulation studies of lattice gases by the standard Monte Carlo method.
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Stillinger, F.H. Quantum corrections for lattice gases. J Stat Phys 15, 407–421 (1976). https://doi.org/10.1007/BF01020343
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DOI: https://doi.org/10.1007/BF01020343