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Two charged particles in a two‐dimensional well
Author(s) -
Salter Edward A.,
Wierzbicki A.
Publication year - 2002
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.10303
Subject(s) - antisymmetric relation , coulomb , eigenfunction , physics , quantum mechanics , schrödinger equation , singularity , electric potential energy , electric potential , basis set , charge (physics) , bohr model , energy (signal processing) , mathematical physics , mathematics , molecule , mathematical analysis , eigenvalues and eigenvectors , voltage , electron
Abstract Numerical solutions are obtained for the time‐independent Schrödinger equation for a system of two particles of the same charge, repelled by the Coulomb force and confined to a two‐dimensional infinite well. The eigenfunctions are expanded in a basis set of product delta functions; the Coulomb potential's singularity is thereby removed. We discuss our findings regarding correlated behavior in the lowest energy states of a well of width and length 3 bohr and the ordering of symmetric and antisymmetric states. Presented are conditional‐probability densities in which Coulomb and Fermi holes are featured. The method is useful for treating other two‐particle interactions in two dimensions. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002