Article
Generation of a Novel Exactly Solvable Potential
Physics Letters A
Document Type
Article
Publication Date
10-2-2015
Pages
2180-2183
Publisher Name
Elsevier B.V.
Disciplines
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.
Creative Commons License
Creative Commons Attribution-Noncommercial-No Derivative Works 3.0
Copyright Statement
© Elsevier B.V., 2015.
Citation Information
Jonathan Bougie, Asim Gangopadhyaya, Jeffry V. Mallow, and Constantin Rasinariu. "Generation of a Novel Exactly Solvable Potential" Physics Letters A Vol. 379 Iss. 37 (2015) Available at: http://works.bepress.com/constantin-rasinariu/39/
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