Barrier Penetration for Supersymmetric Shape-Invariant Potentials

Abstract

Exact reflection and transmission coefficients for supersymmetric shape-invariant potentials barriers are calculated by an analytical continuation of the asymptotic wave functions obtained via the introduction of new generalized ladder operators. The general form of the wave function is obtained by the use of the F-matrix formalism of Froman and Froman which is related to the evolution of asymptotic wave function coefficients.

Cited by in corpus (5)

• A new barrier penetration formula and its application to alpha-decay half-lives
• A Generalized Jaynes-Cummings Hamiltonian and Supersymmetric Shape-Invariance
• Generalized Ladder Operators for Shape-invariant Potentials
• Shape-Invariance and Many-Body Physics
• Shape-invariance and Exactly Solvable Problems in Quantum Mechanics