The Real Exact Solutions to the Hyperbolic Scarf Potential

Details The Real Exact Solutions to the Hyperbolic Scarf Potential The Real Exact Solutions to the Hyperbolic Scarf Potential

2006-03-14

arxiv.org/abs/quant-ph/0603122v4

Rev.Mex.Fis.E53:143-154,2007

Physics

Quantum Physics

Replaced by the published version, title changed in publication

Scientific paper

The exact solutions of the Schrodinger equation with the hyperbolic Scarf potential reported in the literature so far rely upon Jacobi polynomials with imaginary arguments and parameters. We here show that upon a suitable factorization these solutions can be expressed alternatively by means of real orthogonal polynomials distinct but the classical ones as they satisfy a new self-adjoint differential equation of the hypergeometric type.

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