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Bulletin of the Korean Chemical Society (BKCS)

ISSN 0253-2964(Print)
ISSN 1229-5949(Online)
Volume 28, Number 3
BKCSDE 28(3)
March 20, 2007 

 
Title
The Analytical Transfer Matrix Method Combined with Supersymmetry: Coulomb Potential
Author
Hosung Sun
Keywords
Coulomb potential, ATMM, Supersymmetry
Abstract
Combining the analytical transfer matrix method with supersymmetry algebra, a new quantization condition is suggested. To demonstrate the efficiency of the new quantization condition, the eigenenergies of the Coulomb potential are analytically derived. The scattering-led phase shifts are also determined and they are the same for all Coulomb potential states. It is found that the new quantization condition is mathematically simple and exact.
Page
408 - 412
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