Analytical expression for the first-order density matrix of a d-dimensional harmonically confined Fermi gas at finite temperature

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 3, 2003, Pages

  Van Zyl, Brandon P ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTRONIC DENSITY OF STATES; FERMI LEVEL; KINETIC ENERGY; LAPLACE TRANSFORMS; POLYNOMIALS; SEMICONDUCTOR QUANTUM DOTS; STATISTICAL MECHANICS; THERMAL EFFECTS;

FERMI GAS; FIRST ORDER DENSITY MATRIX; HARTREE-FOCK EXCHANGE ENERGY; LOCAL DENSITY APPROXIMATION;

ELECTRON GAS;

EID: 0242694906     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

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23. Similar agreement is also found for other dimensions. However, it is only the 2D system whose TF kinetic-energy functional (with the exact density used as input) integrates to the exact quantum-mechanical kinetic energy.
24. We have used the mathematical software package MAPLE© to evaluate this quantity. We have also checked this result by hand.
25. F - V(r)]/π.