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

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

2006-07-12

arxiv.org/abs/quant-ph/0607075v1

Physics

Quantum Physics

14 pages, 4 figures

Scientific paper

10.1088/1009-1963/15/9/001

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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