Supersymmetric quantum mechanics and solvable potentials

Victor P. Berezovoj, G. I. Ivashkevych, M. I. Konchatnij

Jovana S. Petrovic, Vitomir Milanović, Z. Ikonić

Elso Drigo Filho

Using supersymmetric quantum mechanics we generalize some exactly solvable potentials: the particle in the box, ~oschl-~eller and Rosen- Morse. We evaluate the new potentials and indicate their eigenfunctions and spectra.

A. Frank, P. Van Isacker, Jan Jolie

Barry A. Freedman

Je-Young Choi, Seok-In Hong

We consider supersymmetric quantum mechanical models with both local and nonlocal potentials. We present a nonlocal deformation of exactly solvable local models. Its energy eigenfunctions and eigenvalues are determined exactly. We observe that both our model Hamiltonian and its supersymmetric partner may have normalizable zero-energy ground states, in contrast to local models with nonperiodic or periodic potentials.