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SWKB Quantization Rules for Bound States in Quantum Wells

Quantum Physics 2009-10-31 v1

Abstract

In a recent paper by Gomes and Adhikari (J.Phys B30 5987(1997)) a matrix formulation of the Bohr-Sommerfield quantization rule has been applied to the study of bound states in one dimension quantum wells. Here we study these potentials in the frame work of supersymmetric WKB (SWKB) quantization approximation and find that SWKB quantization rule is superior to the modified Bohr-Sommerfield or WKB rules as it exactly reproduces the eigenenergies.

Cite

@article{arxiv.quant-ph/9911012,
  title  = {SWKB Quantization Rules for Bound States in Quantum Wells},
  author = {Anjana Sinha and Rajkumar Roychoudhury},
  journal= {arXiv preprint arXiv:quant-ph/9911012},
  year   = {2009}
}

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8 pages