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Chemical potential for harmonically interacting particles in a harmonic potential
Author(s) -
Phillips Philip,
Davidson Ernest R.
Publication year - 1983
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560230118
Subject(s) - fermion , harmonic potential , physics , particle (ecology) , harmonic , potential energy , density functional theory , harmonic oscillator , spin (aerodynamics) , energy (signal processing) , functional theory , quantum mechanics , statistical physics , classical mechanics , thermodynamics , oceanography , geology
The chemical potential μ, as it appears in density functional theory, is examined extensively for harmonically interacting spin‐½ fermions in three dimensions. For this system the energy and chemical potential are discontinuous functions of the particle number if the most straightforward equation is used to define the energy for a noninteger particle number.

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