Physics Letters A
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.
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.
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© Elsevier B.V., 2015.