Generation of a Novel Exactly Solvable Potential

Authors

Jonathan Bougie, Loyola University ChicagoFollow
Asim Gangopadhyaya, Loyola University ChicagoFollow
Jeffry V. Mallow, Emeritus, Loyola University ChicagoFollow
Constantin Rasinariu, Loyola University ChicagoFollow

Document Type

Article

Publication Date

10-2-2015

Publication Title

Physics Letters A

Volume

379

Issue

37

Pages

2180-2183

Publisher Name

Elsevier B.V.

Abstract

We report a new shape-invariant (SI) isospectral extension of the Morse potential. Previous investigations have shown that the list of “conventional” SI superpotentials that do not depend explicitly on Planck's constant ħ is complete. Additionally, a set of “extended” superpotentials has been identified, each containing a conventional superpotential as a kernel and additional ħ-dependent terms. We use the partial differential equations satisfied by all SI superpotentials to find a SI extension of Morse with novel properties. It has the same eigenenergies as Morse but different asymptotic limits, and does not conform to the standard generating structure for isospectral deformations.

Comments

Author Posting © Elsevier B.V., 2015. This is the author's version of the work. It is posted here by permission of Elsevier B.V. for personal use, not for redistribution. The definitive version was published in Physics Letters A, Volume 379, Issue 37, October 2015. https://doi.org/10.1016/j.physleta.2015.06.058

Recommended Citation

Bougie, Jonathan; Gangopadhyaya, Asim; Mallow,, Jeffry V. Emeritus; and Rasinariu, Constantin, "Generation of a Novel Exactly Solvable Potential" (2015). Physics: Faculty Publications and Other Works. 63.
https://ecommons.luc.edu/physics_facpubs/63

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Copyright Statement

© Elsevier B.V., 2015.