Resonances in Cut-Off Potentials Determined by the Exterior Complex-Scaling Method

Quantum Fest 2016 International Conference on Quantum Phenomena, Quantum Control and Quantum Optics

Jaimes-Nájera, A.^1

Physics Department, Cinvestav, AP 14-740, México City

07000, Mexico^1

关键词: Complex scaling;    Exterior complex scaling;    Hermitians;    OFF potentials;    Short range potentials;    Square integrable;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/839/1/012005/pdf
DOI  :  10.1088/1742-6596/839/1/012005

来源: IOP

【 摘 要 】

The resonances of one-dimensional short-range potentials defined by a cutoff are analyzed in terms of a modification of the well known complex-scaling method. Such a modification consists in transforming the eigenfunctions only in the zone where the potential is identically zero. As usual, the complex-scaled Hamiltonian is non-Hermitian and the functions that represent resonances become square-integrable. The method is illustrated by calculating the resonances of a concrete cut-off potential.