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Fermionic Phonons: Exact Analytic Results and Quantum Statistical Mechanics for a One Dimensional Harmonic Crystal

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arxiv 1903.06866 v3 pith:4MJNVBIN submitted 2019-03-16 quant-ph cond-mat.stat-mechphysics.chem-ph

Phil Attard This is my paper · ORCID
classification quant-phcond-mat.stat-mechphysics.chem-ph
keywords energyanalyticcrystalharmonicobtainedresultsaveragedensity
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Analytic expressions for the energy eigenvalues and eigenfunctions of a one-dimensional harmonic crystal are obtained. The average energy and density profiles are obtained numerically as a function of temperature. A surprisingly large number of energy levels (eg.\ 5,000 for 4 particles) are required for reliable results at even moderate temperatures.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum Ornstein-Zernike Equation

    quant-ph 2019-08 reject novelty 6.0 of 10

    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.

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