Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8193900 | Physics Letters B | 2010 | 4 Pages |
Abstract
We present a new set of infinitely many shape invariant potentials and the corresponding exceptional (Xâ) Laguerre polynomials. They are to supplement the recently derived two sets of infinitely many shape invariant thus exactly solvable potentials in one-dimensional quantum mechanics and the corresponding Xâ Laguerre and Jacobi polynomials [S. Odake, R. Sasaki, Phys. Lett. B 679 (2009) 414]. The new Xâ Laguerre polynomials and the potentials are obtained by a simple limiting procedure from the known Xâ Jacobi polynomials and the potentials, whereas the known Xâ Laguerre polynomials and the potentials are obtained in the same manner from the mirror image of the known Xâ Jacobi polynomials and the potentials.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
Satoru Odake, Ryu Sasaki,