Optical potentials using resonance states in Supersymmetric Quantum Mechanics

Autor:	Fernandez-Garcia, N., Rosas-Ortiz, O.
Rok vydání:	2009
Předmět:	Mathematical Physics High Energy Physics - Theory Quantum Physics
Zdroj:	J. Phys. Conf. Ser. 128 (2008) 012044
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-6596/128/1/012044
Popis:	Complex potentials are constructed as Darboux-deformations of short range, radial nonsingular potentials. They behave as optical devices which both refracts and absorbs light waves. The deformation preserves the initial spectrum of energies and it is implemented by means of a Gamow-Siegert function (resonance state). As straightforward example, the method is applied to the radial square well. Analytical derivations of the involved resonances show that they are `quantized' while the corresponding wave-functions are shown to behave as bounded states under the broken of parity symmetry of the related one-dimensional problem. Comment: 16 pages, 6 figures, 1 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0902.4052 Zobrazit plný text záznamu View this record from Arxiv