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Deformations of density functions in molecular quantum chemistry
We generalize the use of the local scaling transformation developed by E. S. Kryachko and E. V. Ludeña to molecules in order to deform density functions. The connection with the Jacobian problem is clearly made, and we solve that problem using a formalism introduced by J. Moser. As a consequence, we...
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Published in: | Journal of mathematical physics 1996-04, Vol.37 (4), p.1553-1573 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | We generalize the use of the local scaling transformation developed by E. S. Kryachko and E. V. Ludeña to molecules in order to deform density functions. The connection with the Jacobian problem is clearly made, and we solve that problem using a formalism introduced by J. Moser. As a consequence, we can control the density information contained in a wave function, in some sense, at the same time as we keep particular regularity and behavior assumptions in the wave function (in particular concerning the symmetries of the wave function). The principal aim of the paper is to develop a correct mathematical background for further utilization in connection with density functional theory. Theoretical implications and numerical aspects are also discussed. |
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ISSN: | 0022-2488 1089-7658 |
DOI: | 10.1063/1.531468 |