OPTIMUM JASTROW FUNCTION FOR FEW-ELECTRON GROUND-STATES IN A QUANTUM-DOT - REDUCTION TO A 3-PARTICLE PROBLEM

BOLTON, F (1994) OPTIMUM JASTROW FUNCTION FOR FEW-ELECTRON GROUND-STATES IN A QUANTUM-DOT - REDUCTION TO A 3-PARTICLE PROBLEM. PHYSICAL REVIEW LETTERS, 73 (1). pp. 158-161. ISSN 0031-9007, 1079-7114

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Abstract

A new approach to calculating the optimum Jastrow wave function is presented for a system of N electrons in a two-dimensional quantum dot. By introducing special derivative operators which act on differences of electron coordinates r(ij) = r(i) - r(j) as if they were independent coordinates {r(ij)}i < j, it is shown that the problem of finding the optimum N-particle Jastrow function reduces to a three-particle problem (for N greater-than-or-equal-to 3). This three-particle problem is then solved using a variational method to find the optimum pair function phi(r(ij)). A perpendicular magnetic field may also be included in the problem.

Item Type: Article
Uncontrolled Keywords: WAVE-FUNCTIONS;
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:40
URI: https://pred.uni-regensburg.de/id/eprint/53200

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