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Quantum corrections to the free energy of a classical Lennard-Jones system are calculated, using the well-known Wigner expansion in powers of . In the vicinity of the triple point of neon, the ⁴ term turns out to be about 40 times smaller than the ² term, which justifies trunction of the series after the first correction term. The resulting changes in the densities and pressures of melting and condensation transitions give rise to a phase diagram which is in good agreement with experimental neon results.
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Hansen et al. (1969) studied this question.
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