Uniform semiclassical approximations for one-dimensional fermionic systems
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🪐 quant-ph
keywords
approximationssemiclassicaluniformaccountallowsboundeddensitiesderivation
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A thorough account is given of the derivation of uniform semiclassical approximations to the particle and kinetic energy densities of N noninteracting bounded fermions in one dimension. The employed methodology allows the inclusion of non-perturbative effects via an infinite resummation of the Poisson summation formula.
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