Lower and upper bounds of the energy spectrum for potentials with multiminima

Peter Žitňan · International Journal of Quantum Chemistry · 1994

Abstract An extended Rayleigh–Ritz method for computing two‐sided eigenvalue bounds of the one‐dimensional Schrödinger equation without using a complementary method is presented. The method is based on the B‐spline approximation over the truncated domain, which results in a generalized banded matrix eigenvalue problem. Numerical results for two multiminima potentials of different natures are presented. © 1994 John Wiley & Sons, Inc.

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