A center-of-mass principle for the multiparticle Schroedinger equation

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3290747· OSTI ID:21335906

Mohlenkamp, Martin J ^[1]

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1. Department of Mathematics, Ohio University, Morton Hall 321, Athens, Ohio 45701 (United States)

The center-of-mass principle is the key to the rapid computation of the interaction of a large number of classical particles. Electrons governed by the multiparticle Schroedinger equation have a much more complicated interaction mainly due to their spatial extent and the antisymmetry constraint on the total wave function of the combined electron system. We present a center-of-mass principle for quantum particles that accounts for this spatial extent, the antisymmetry constraint, and the potential operators. We use it to construct an algorithm for computing a size-consistent approximate wave function for large systems with simple geometries.

• OSTI ID: 21335906
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 2; Other Information: DOI: 10.1063/1.3290747; (c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
APPROXIMATIONS
CENTER-OF-MASS SYSTEM
ELECTRONS
GEOMETRY
INTERACTIONS
MASS
MATHEMATICAL OPERATORS
POTENTIALS
SCHROEDINGER EQUATION
WAVE FUNCTIONS