Can I read Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials on EtoBox?

Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials by Quesne, C. is a scholarly article available to read on EtoBox.

What is Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials about?

Exactly solvable rationally-extended radial oscillator potentials, whose wavefunctions can be expressed in terms of Laguerre-type exceptional orthogonal polynomials, are constructed in the framework of $k$th-order supersymmetric quantum mechanics, with special emphasis on $k=2$. It is shown that for $\mu=1$, 2, and 3, there exist exactly $\mu$ distinct potentials of $\mu$th type and associated families of exceptional orthogonal polynomials, where $\mu$ denotes the degree of the polynomial $g_{\mu}$ arising in the denominator of the potentials.

Author

Quesne, C.

Published

2011

Language

EN