Single-particle kinetic energy in density-functional theory: Harmonic confinement in two and three dimensions

Journal Article · Sat Apr 15 00:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20787174

March, N H ^[1]

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1. Oxford University, Oxford (United Kingdom) and Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)

Using the known perturbation series for the idempotent Dirac density matrix in powers of a given one-body potential V(r), Stoddart and March (SM) generated a corresponding series for the kinetic energy density. While the general term of the SM series is known, a summation has not been achieved to date. A contribution to solve this problem is made here by exhibiting an explicit form of the above kinetic energy density for Fermions filling an arbitrary number of closed shells, when the confinement is harmonic. This example is of considerable current interest because of ongoing experiments on ultracold atomic gases of Fermions.

• OSTI ID: 20787174
• Journal Information: Physical Review. A, Vol. 73, Issue 4; Other Information: DOI: 10.1103/PhysRevA.73.044501; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CONFINEMENT
DENSITY FUNCTIONAL METHOD
DENSITY MATRIX
DISTURBANCES
FERMIONS
KINETIC ENERGY
POTENTIALS