Electronic structure calculation for N-electron quantum dots. S.A. McCarthy, J.B. Wang, P.C. Abbott.

PROGRAM SUMMARY
Title of program: QDHartreeFock.nb v 1.0
Catalogue identifier: ADPE
Ref. in CPC: 141(2001)175
Distribution format: tar gzip file
High speed store required: 800K words
Number of lines in distributed program, including test data, etc: 3043
Keywords: Hartree-Fock method, Quantum dot, Artificial atom, Electronic structure, Atomic physics, Wave function.
Programming language used: Mathematica
Computer: DEC Alpha workstation500.

Nature of physical problem:
Electronic structure of N-electrons confined in a quantum dot.

Method of solution:
The Hartree-Fock self-consistent field method is applied to the physical problem. The Rayleigh-Ritz variational method is applied to solve the Hartree-Fock equations, using a mixture of analytic and numeric computational techniques.

Restrictions:
Restricted to circularly symmetric quantum dots; limited matrix (expansion) sizes.

Unusual features:
A simple input structure. Analytic reduction of direct and exchange integrals speeds up computation and improves accuracy.