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On the algebraic derivation of phase shifts for shape invariant potentials
S MAHAPATRA,
Published in WORLD SCIENTIFIC PUBL CO PTE LTD
2011
Volume: 26
   
Issue: 23
Pages: 1753 - 1761
Abstract
Phase shifts produced by two supersymmetric partner potentials satisfy a simple relation. One expects that the phase shift can be obtained algebraically, if the potential is shape invariant. We show that this is true only for a special class of shape invariant potentials. Among known shape invariant potentials, only the Coulomb potential satisfy this requirement. The Coulomb phase shift can be obtained analytically, which agrees with the well-known standard result. © 2011 World Scientific Publishing Company.
About the journal
JournalModern Physics Letters A
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
ISSN0217-7323