A proposed many-body expansion of a quantum commutation function into pairwise effective potentials is shown by the paper's own numerical tests to be unphysical and not viable.
Quantum Statistical Mechanics in Classical Phase Space. V. Quantum Local, Average Global
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abstract
One-particle energy eigenfunctions are used to obtain quantum averages in many particle systems. These are based on the effective local field due to fixed neighbors in classical phase space, while the averages account for the non-commutativity of the position and momentum operators. Used in Monte Carlo simulations for a one-dimensional Lennard-Jones fluid, the results prove more reliable than a high temperature expansion and a harmonic local field approach, and at intermediate temperatures agree with benchmark numerical results. Results are presented for distinguishable particles, fermions, and bosons.
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quant-ph 1years
2019 1verdicts
REJECT 1representative citing papers
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Quantum Ornstein-Zernike Equation
A proposed many-body expansion of a quantum commutation function into pairwise effective potentials is shown by the paper's own numerical tests to be unphysical and not viable.