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New approximate radial wave functions for power-law potentials

Mathematical Physics 2007-09-27 v1 math.MP Quantum Physics

Abstract

Radial wave functions for power-law potentials are approximated with the help of power-law substitution and explicit summation of the leading constituent WKB series. Our approach reproduces the correct behavior of the wave functions at the origin, at the turning points and far away from the turning points

Cite

@article{arxiv.0709.4082,
  title  = {New approximate radial wave functions for power-law potentials},
  author = {Vladimir Kudryashov},
  journal= {arXiv preprint arXiv:0709.4082},
  year   = {2007}
}

Comments

6 pages, 3 figures, 1 table

R2 v1 2026-06-21T09:22:00.567Z