Journal article

### 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...

Publication status:
Published

### Access Document

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

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
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
Source identifiers:
14553
Language:
English
Keywords:
Pubs id:
pubs:14553
UUID:
uuid:5b85a9dd-5677-4005-b5da-97260257fa38
Local pid:
pubs:14553
Deposit date:
2012-12-19