# Exactly solvable associated Lame potentials and supersymmetric transformations

## Abstract

A systematic procedure to derive exact solutions of the associated Lame equation for an arbitrary value of the energy is presented. Supersymmetric transformations in which the seed solutions have factorization energies inside the gaps are used to generate new exactly solvable potentials; some of them exhibit an interesting property of periodicity defects.

- Authors:

- Departamento de Fisica, Cinvestav, AP 14-740, 07000 Mexico DF (Mexico). E-mail: david@fis.cinvestav.mx
- City College (C.C.C.B.A.), University of Calcutta, 13 Surya Sen Street, Kolkata 700 012 (India) and Departamento de Fisica Teorica, Atomica y Optica, Universidad de Valladolid, 47071 Valladolid (Spain). E-mail: gangulyasish@rediffmail.com

- Publication Date:

- OSTI Identifier:
- 20976758

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics (New York); Journal Volume: 322; Journal Issue: 5; Other Information: DOI: 10.1016/j.aop.2006.07.011; PII: S0003-4916(06)00180-1; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EQUATIONS; EXACT SOLUTIONS; FACTORIZATION; PERIODICITY; POTENTIALS; QUANTUM MECHANICS; SUPERSYMMETRY; TRANSFORMATIONS

### Citation Formats

```
Fernandez, David J., and Ganguly, Asish.
```*Exactly solvable associated Lame potentials and supersymmetric transformations*. United States: N. p., 2007.
Web. doi:10.1016/j.aop.2006.07.011.

```
Fernandez, David J., & Ganguly, Asish.
```*Exactly solvable associated Lame potentials and supersymmetric transformations*. United States. doi:10.1016/j.aop.2006.07.011.

```
Fernandez, David J., and Ganguly, Asish. Tue .
"Exactly solvable associated Lame potentials and supersymmetric transformations". United States.
doi:10.1016/j.aop.2006.07.011.
```

```
@article{osti_20976758,
```

title = {Exactly solvable associated Lame potentials and supersymmetric transformations},

author = {Fernandez, David J. and Ganguly, Asish},

abstractNote = {A systematic procedure to derive exact solutions of the associated Lame equation for an arbitrary value of the energy is presented. Supersymmetric transformations in which the seed solutions have factorization energies inside the gaps are used to generate new exactly solvable potentials; some of them exhibit an interesting property of periodicity defects.},

doi = {10.1016/j.aop.2006.07.011},

journal = {Annals of Physics (New York)},

number = 5,

volume = 322,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

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