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Iterative Solutions for Low Lying Excited States of a Class of Schroedinger Equation

R. Friedberg, T. D. Lee, W. Q. Zhao

quant-pharXiv:quant-ph/0607075

Abstract

The convergent iterative procedure for solving the groundstate Schroedinger equation is extended to derive the excitation energy and the wave function of the low-lying excited states. The method is applied to the one-dimensional quartic potential problem. The results show that the iterative solution converges rapidly when the coupling g is not too small.

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