论文信息 - An Asymmetric "Implicit" Potential on the Real Line

An Asymmetric "Implicit" Potential on the Real Line

An exactly solvable, two-parameter implicit quantum mechanical potential is derived and characterized. With a change of variable, this potential is shown to belong to the Natanzon class, and for at least one value of the potential parameters, an explicit, rather than implicit, potential results.

B. W. Williams | G. Lévai

[1] P. Roy,et al. Comprehensive analysis of conditionally exactly solvable models , 2001, math-ph/0102017.

[2] D. Baye,et al. Phase-equivalent potentials from supersymmetry: Analytical results for a Natanzon-class potential , 1997 .

[3] B. W. Williams,et al. “Implicit” potentials associated with Jacobi polynomials: some novel aspects , 1995 .

[4] G. Lévai. Solvable potentials associated with su(1,1) algebras: a systematic study , 1994 .

[5] B. W. Williams,et al. A simple method for generating exactly solvable quantum mechanical potentials , 1993 .

[6] B. W. Williams. A second class of solvable potentials related to the Jacobi polynomials , 1991 .

[7] G. Lévai. A class of exactly solvable potentials related to the Jacobi polynomials , 1991 .

[8] C. A. Singh,et al. Single-variable realisation of the SU(1,1) spectrum generating algebra and discrete eigenvalue spectra of a class of potentials , 1990 .

[9] G. Lévai. A search for shape-invariant solvable potentials , 1989 .

[10] G. Natanzon. General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions , 1979 .

[11] E. Sudarshan,et al. A class of solvable potentials , 1962 .

[12] Philip M. Morse,et al. On the Vibrations of Polyatomic Molecules , 1932 .