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Title
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Particle density and non-local kinetic energy density functional for two-dimensional harmonically confined Fermi vapors
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Author
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Abstract
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| We evaluate analytically some ground state properties of two-dimensional harmonically confined Fermi vapors with isotropy and for an arbitrary number of closed shells. We first derive a differential form of the virial theorem and an expression for the kinetic energy density in terms of the fermion particle density and its low-order derivatives. These results allow an explicit differential equation to be obtained for the particle density. The equation is third-order, linear and homogeneous. We also obtain a relation between the turning points of kinetic energy and particle densities, and an expression of the non-local kinetic energy density functional. |
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Language
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English
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Source (journal)
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European physical journal : D : atomic, molecular and optical physics. - Berlin
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Publication
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Berlin
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2001
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ISSN
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1434-6060
[print]
1434-6079
[online]
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DOI
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10.1007/S100530170146
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Volume/pages
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15
:3
(2001)
, p. 315-320
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ISI
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000171300100006
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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