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First-order density matrices in one dimension for independent fermions and impenetrable bosons in harmonic traps (Articolo in rivista)
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- First-order density matrices in one dimension for independent fermions and impenetrable bosons in harmonic traps (Articolo in rivista) (literal)
- Anno
- 2007-01-01T00:00:00+01:00 (literal)
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Capuzzi, P; Howard, IA; March, NH; Tosi, MP (2007)
First-order density matrices in one dimension for independent fermions and impenetrable bosons in harmonic traps
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- Capuzzi, P; Howard, IA; March, NH; Tosi, MP (literal)
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- ISI Web of Science (WOS) (literal)
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- Scuola Normale Super Pisa, CNR, INFM, NEST, I-56126 Pisa, Italy; Scuola Normale Super Pisa, Classe Sci, I-56126 Pisa, Italy; Univ Antwerp, Dept Phys, B-2020 Antwerp, Belgium; Univ Oxford, Oxford, England (literal)
- Titolo
- First-order density matrices in one dimension for independent fermions and impenetrable bosons in harmonic traps (literal)
- Abstract
- To complement existing knowledge of the density matrix gamma(F)(x, y) of independent fermions for N particles in one dimension under harmonic confinement, the corresponding matrix gamma(IB)(x, y) for impenetrable bosons is given for N = 2 and 3 (with the N = 4 form available also). For fermions the momentum density is then obtained and illustrated numerically for N = 10. The boson momentum density is studied analytically at high momentum p; the coefficients of the p(-4) and p(-6) terms being tabulated for N = 2-5 inclusive. Their dependence on powers of N is exhibited numericallyi Finally, the functional relationship between M(x. y) and yF(x, y) is formally set out and illustrated. (c) 2006 Elsevier B.V. All rights reserved. (literal)
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