A variational perturbation theory

Authors

  • Lorenzo C. Chan National Institute of Physics, University of the Philippines Diliman
  • Anthony Villanueva National Institute of Physics, University of the Philippines Diliman

Abstract

The paper discusses how the variationally improved perturbation theory VIPT scheme of approximation in quantum mechanics can be improved convergence-wise if one uses for variational trial functions the perturbative series with variational parameter, so that one is effectively doing variational calculations directly on the high order perturbative series for energy. The result optimizes the high order energy directly and thus represents a significant improvement over the VIPT procedure. When applied to a double potential in which even the VIPT is badly divergent, we saw that the result is still very much convergent.

Downloads

Issue

Article ID

SPP-2004-1F-02

Section

Theoretical and Computational Physics

Published

2004-10-25

How to Cite

[1]
LC Chan and A Villanueva, A variational perturbation theory, Proceedings of the Samahang Pisika ng Pilipinas 22, SPP-2004-1F-02 (2004). URL: https://proceedings.spp-online.org/article/view/SPP-2004-1F-02.