Gamow vectors and Supersymmetric Quantum Mechanics

Details Gamow vectors and Supersymmetric Quantum Mechanics Gamow vectors and Supersymmetric Quantum Mechanics

2008-10-13

arxiv.org/abs/0810.2283v1

Rev Mex Fis 53 S2 (2007) 103-109

Physics

Quantum Physics

12 pages, 8 figures, LaTeX file

Scientific paper

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.

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