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Inverse momentum expectation values for hydrogenic systems

Mathematical Physics 2015-05-13 v1 math.MP

Abstract

By using the Fourier transforms of the general hydrogenic bound state wave functions (as ultraspherical polynomials) one may find expectation values of arbitrary functions of momentum p. In this manner the effect of a reciprocity perturbation 1/p can be evaluated for all hydrogenic states.

Cite

@article{arxiv.0904.4288,
  title  = {Inverse momentum expectation values for hydrogenic systems},
  author = {Robert Delbourgo and David Elliott},
  journal= {arXiv preprint arXiv:0904.4288},
  year   = {2015}
}

Comments

14 pages, no figures, LaTeX file

R2 v1 2026-06-21T12:55:40.523Z