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Rationally extended shape invariant potentials in arbitrary D-dimensions associated with exceptional Xm polynomials
arXiv
Authors: Rajesh Kumar Yadav, Nisha Kumari, Avinash Khare, Bhabani Prasad Mandal
Year
2014
Paper ID
45897
Status
Preprint
Abstract Read
~2 min
Abstract Words
55
Citations
N/A
Abstract
Rationally extended shape invariant potentials in arbitrary D-dimensions are obtained by using point canonical transformation (PCT) method. The bound-state solutions of these exactly solvable potentials can be written in terms of X_m Laguerre or X_m Jacobi exceptional orthogonal polynomials. These potentials are isospectral to their usual counterparts and possess translationally shape invariance property.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- Rationally extended shape invariant potentials in arbitrary D-dimensions are obtained by using point canonical transformation (PCT) method.
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