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Phase equivalent potentials, Complex coordinates and Supersymmetric Quantum Mechanics

Abstract:

Supersymmetric Quantum Mechanics may be used to construct reflectionless potentials and phase-equivalent potentials. The exactly solvable case of the $\lambda sech^2$ potential is used to show that for certain values of the strength $\lambda$ the phase-equivalent singular potential arising from the elimination of all the boundstates is identical to the original potential evaluated at a point shifted in the complex cordinate space. This equivalence has the consequence that certain general rela...

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Publication status:
Published

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Publisher copy:
10.1088/0305-4470/39/46/017

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Role:
Author
Journal:
J.Phys. A: Math. Gen.
Volume:
39
Issue:
46
Pages:
14499-14509
Publication date:
2006-11-01
DOI:
EISSN:
1361-6447
ISSN:
0305-4470
URN:
uuid:5b85a9dd-5677-4005-b5da-97260257fa38
Source identifiers:
14553
Local pid:
pubs:14553
Language:
English
Keywords:

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