A new family of shape invariantly deformed Darboux-Poschl-Teller potentials with continuous l

作者:Odake S*; Sasaki R
来源:Journal of Physics A-Mathematical and Theoretical, 2011, 44(19): 195203.
DOI:10.1088/1751-8113/44/19/195203

摘要

We present a new family of shape invariant potentials which could be called a 'continuous l version' of the potentials corresponding to the exceptional (X-l) J1 Jacobi polynomials constructed recently by the present authors. In a certain limit, it reduces to a continuous l family of shape invariant potentials related to the exceptional (X-l) L1 Laguerre polynomials. The latter was known as one example of the 'conditionally exactly solvable potentials' on a half line.

  • 出版日期2011-5-13