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Particle density and non-local kinetic energy density functional for two-dimensional harmonically confined Fermi vapors
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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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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 : 2001
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1434-6060
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| Volume/pages |
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15:3(2001), p. 315-320
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000171300100006
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| Full text (publisher's version - intranet only) |
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