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Electronic Wave Functions. I. A General Method of Calculation for the Stationary States of Any Molecular System
S. F. Boys
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 200, No. 1063 (Feb. 22, 1950), pp. 542-554
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/98423
Page Count: 13
You can always find the topics here!Topics: Mathematical integrals, Mathematical functions, Wave functions, Atoms, Molecules, Mathematical procedures, Perceptron convergence procedure, Mathematical theorems, Eigenvalues, Numerical integration
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This communication deals with the general theory of obtaining numerical electronic wave functions for the stationary states of atoms and molecules. It is shown that by taking Gaussian functions, and functions derived from these by differentiation with respect to the parameters, complete systems of functions can be constructed appropriate to any molecular problem, and that all the necessary integrals can be explicitly evaluated. These can be used in connexion with the molecular orbital method, or localized bond method, or the general method of treating linear combinations of many Slater determinants by the variational procedure. This general method of obtaining a sequence of solutions converging to the accurate solution is examined. It is shown that the only obstacle to the evaluation of wave functions of any required degree of accuracy is the labour of computation. A modification of the general method applicable to atoms is discussed and considered to be extremely practicable.
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1950 Royal Society