Gamow vectors and Supersymmetric Quantum Mechanics
Quantum Physics
2008-10-31 v1 High Energy Physics - Theory
Nuclear Theory
Abstract
Gamow solutions are used to transform self-adjoint energy operators by means of factorization (supersymmetric) techniques. The transformed non-hermitian operators admit a discrete real spectrum which is occasionally extended by a single complex eigenvalue associated to normalized eigensolutions. These new Hamiltonians are not pseudo-hermitian operators and also differ from those obtained by means of complex-scaling transformations. As an example, Coulomb-like potentials are studied.
Keywords
Cite
@article{arxiv.0810.2283,
title = {Gamow vectors and Supersymmetric Quantum Mechanics},
author = {Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:0810.2283},
year = {2008}
}
Comments
12 pages, 8 figures, LaTeX file