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Superconvergent Perturbation Method in Quantum Mechanics

Quantum Physics 2009-01-23 v1

Abstract

An analogue of Kolmogorov's superconvergent perturbation theory in classical mechanics is constructed for self adjoint operators. It is different from the usual Rayleigh--Schr\"odinger perturbation theory and yields expansions for eigenvalues and eigenvectors in terms of functions of the perturbation parameter.

Keywords

Cite

@article{arxiv.quant-ph/9412009,
  title  = {Superconvergent Perturbation Method in Quantum Mechanics},
  author = {Wolfgang Scherer},
  journal= {arXiv preprint arXiv:quant-ph/9412009},
  year   = {2009}
}

Comments

11 pages, LaTeX