RATIONALLY EXTENDED SHAPE INVARIANT POTENTIALS IN ARBITRARY D DIMENSIONS ASSOCIATED WITH EXCEPTIONAL Xm POLYNOMIALS

Authors

  • Rajesh Kumar Yadav Department of Physics, S. P. College, Dumka (SKMU Dumka)-814101, INDIA
  • Nisha Kumari
  • Avinash Khare
  • Bhabani Prasad Mandal

DOI:

https://doi.org/10.14311/AP.2017.57.0477

Keywords:

exceptional orthogonal polynomial, point canonical transformation, rationally extended potential, shape invariance property

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 Xm Laguerre or Xm Jacobi exceptional orthogonal polynomials. These potentials are isospectral to their usual counterparts and possess translationally shape invariance property.

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Published

2017-12-30

Issue

Vol. 57 No. 6 (2017)

Section

Articles

How to Cite

Yadav, R. K., Kumari, N., Khare, A., & Mandal, B. P. (2017). RATIONALLY EXTENDED SHAPE INVARIANT POTENTIALS IN ARBITRARY D DIMENSIONS ASSOCIATED WITH EXCEPTIONAL Xm POLYNOMIALS. Acta Polytechnica, 57(6), 477-487. https://doi.org/10.14311/AP.2017.57.0477
Received 2017-09-18
Accepted 2017-11-19
Published 2017-12-30