Add to ORKGMotivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of parameters. This approach involves nonlinear generalizations of Lie algebras. Our work extends previous results showing the equivalence of shape invariant potentials involving translational change of parameters with standard SO (2,1) potential algebra for Natanzon type potentials
We find new families of shape invariant potentials depending on n ≥ 1 parameters subject to translat...
15 pages; version 2: introduction and conclusion enlarged, acknowledgment added, references added; v...
Generalized coherent states for shape invariant potentials are constructed using an algebraic approa...
Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algeb...
For all quantum-mechanical potentials that are known to be exactly solvable, there are two different...
We review solvable models within the framework of supersymmetric quantum mechanics (SUSYQM). In SUSY...
In the supersymmetric quantum mechanics formalism, the shape invariance condition provides a suffici...
Exactly solvable potentials of nonrelativistic quantum mechanics are known to be shape invariant. Fo...
Self-similar potentials generalize the concept of shape-invariance which was originally introduced t...
Although eigenspectra of one dimensional shape invariant potentials with unbroken supersymmetry are ...
We revisit the algebraic description of shape invariance method in one-dimensional quantum mechanics...
We investigate whether a general class of solvable potentials, the Natanzon potentials (those potent...
We discuss in some detail the self-similar potentials of Shabat and Spiridonov which are reflectionl...
Quantum mechanical potentials satisfying the property of shape invariance are well known to be algeb...
Using supersymmetric quantum mechanics, one can obtain analytic expressions for the eigenvalues and ...
We find new families of shape invariant potentials depending on n ≥ 1 parameters subject to translat...
15 pages; version 2: introduction and conclusion enlarged, acknowledgment added, references added; v...
Generalized coherent states for shape invariant potentials are constructed using an algebraic approa...
Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algeb...
For all quantum-mechanical potentials that are known to be exactly solvable, there are two different...
We review solvable models within the framework of supersymmetric quantum mechanics (SUSYQM). In SUSY...
In the supersymmetric quantum mechanics formalism, the shape invariance condition provides a suffici...
Exactly solvable potentials of nonrelativistic quantum mechanics are known to be shape invariant. Fo...
Self-similar potentials generalize the concept of shape-invariance which was originally introduced t...
Although eigenspectra of one dimensional shape invariant potentials with unbroken supersymmetry are ...
We revisit the algebraic description of shape invariance method in one-dimensional quantum mechanics...
We investigate whether a general class of solvable potentials, the Natanzon potentials (those potent...
We discuss in some detail the self-similar potentials of Shabat and Spiridonov which are reflectionl...
Quantum mechanical potentials satisfying the property of shape invariance are well known to be algeb...
Using supersymmetric quantum mechanics, one can obtain analytic expressions for the eigenvalues and ...
We find new families of shape invariant potentials depending on n ≥ 1 parameters subject to translat...
15 pages; version 2: introduction and conclusion enlarged, acknowledgment added, references added; v...
Generalized coherent states for shape invariant potentials are constructed using an algebraic approa...