English

Scaling property of variational perturbation expansion for general anharmonic oscillator

Quantum Physics 2016-08-15 v1 chem-ph

Abstract

We prove a powerful scaling property for the extremality condition in the recently developed variational perturbation theory which converts divergent perturbation expansions into exponentially fast convergent ones. The proof is given for the energy eigenvalues of an anharmonic oscillator with an arbitrary xpx^p-potential. The scaling property greatly increases the accuracy of the results.

Keywords

Cite

@article{arxiv.quant-ph/9502018,
  title  = {Scaling property of variational perturbation expansion for general anharmonic oscillator},
  author = {W. Janke and H. Kleinert},
  journal= {arXiv preprint arXiv:quant-ph/9502018},
  year   = {2016}
}