Abstract

ROSAS-ORTIZ, Oscar. Gamow vectors and Supersymmetric Quantum Mechanics. Rev. mex. fis. [online]. 2007, vol.53, suppl.2, pp.103-109. ISSN 0035-001X.

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 : Factorization method; Gamow vectors; Non-hermitian Hamiltonians.

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