English

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

Quantum Physics 2009-11-13 v1

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 gg is not too small.

Keywords

Cite

@article{arxiv.quant-ph/0607075,
  title  = {Iterative Solutions for Low Lying Excited States of a Class of Schroedinger Equation},
  author = {R. Friedberg and T. D. Lee and W. Q. Zhao},
  journal= {arXiv preprint arXiv:quant-ph/0607075},
  year   = {2009}
}

Comments

14 pages, 4 figures