Factorization method and new potentials from the inverted oscillator |
| |
Authors: | David Bermudez,David J. Ferná ndez C. |
| |
Affiliation: | Departamento de Física, Cinvestav, A.P. 14-740, 07000 México D.F., Mexico |
| |
Abstract: | In this article we will apply the first- and second-order supersymmetric quantum mechanics to obtain new exactly-solvable real potentials departing from the inverted oscillator potential. This system has some special properties; in particular, only very specific second-order transformations produce non-singular real potentials. It will be shown that these transformations turn out to be the so-called complex ones. Moreover, we will study the factorization method applied to the inverted oscillator and the algebraic structure of the new Hamiltonians. |
| |
Keywords: | Supersymmetric quantum mechanics Darboux transformations Harmonic oscillator Inverted oscillator |
本文献已被 ScienceDirect 等数据库收录! |