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An accurate finite difference method for the numerical solution of the Schrödinger equation by T.E. Simos is a Mathematics article available to read on EtoBox.

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An accurate finite difference approach for computing eigenvalues of Schr6dinger equations is developed in this paper. We investigate two cases: (i) the specific case in which the potential V(x) is an even function with respect to x. It is assumed, also, that the wave functions tend to zero for x --~ =l=cx~. We investigate the well-known potential of the onedimensional anharmonic oscillator, the symmetric double-well potential, the Razavy potential and the doubly anharmonic oscillator potential. (ii) The general case for positive and negative eigenvalues and for the well-known cases of the Morse potential and Woods-Saxon or optical potential. Numerical and theoretical results show that this new approach is more efficient than previously derived methods.

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Author

T.E. Simos

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0377-0427)

Published

1998

Language

EN

Field

Mathematics (Physical Sciences)