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Title: On a Class of Hairy Square Barriers and Gamow Vectors

Abstract

The second order Darboux-Gamow transformation is applied to deform square one dimensional barriers in non-relativistic quantum mechanics. The initial and the new 'hairy' potentials have the same transmission probabilities (for the appropriate parameters). In general, new Gamow vectors are constructed as Darboux deformations of the initial ones.

Authors:
 [1]
  1. Physics Department, Cinvestav, AP 14-740, Mexico DF 07000 (Mexico)
Publication Date:
OSTI Identifier:
21054787
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 885; Journal Issue: 1; Conference: EAV06: Advanced summer school in physics 2006: Frontiers in contemporary physics, Mexico City (Mexico), 10-14 Jul 2006; Other Information: DOI: 10.1063/1.2563172; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DEFORMATION; POTENTIALS; PROBABILITY; QUANTUM MECHANICS; RELATIVISTIC RANGE; TRANSFORMATIONS; VECTORS

Citation Formats

Fernandez-Garcia, N. On a Class of Hairy Square Barriers and Gamow Vectors. United States: N. p., 2007. Web. doi:10.1063/1.2563172.
Fernandez-Garcia, N. On a Class of Hairy Square Barriers and Gamow Vectors. United States. doi:10.1063/1.2563172.
Fernandez-Garcia, N. Fri . "On a Class of Hairy Square Barriers and Gamow Vectors". United States. doi:10.1063/1.2563172.
@article{osti_21054787,
title = {On a Class of Hairy Square Barriers and Gamow Vectors},
author = {Fernandez-Garcia, N.},
abstractNote = {The second order Darboux-Gamow transformation is applied to deform square one dimensional barriers in non-relativistic quantum mechanics. The initial and the new 'hairy' potentials have the same transmission probabilities (for the appropriate parameters). In general, new Gamow vectors are constructed as Darboux deformations of the initial ones.},
doi = {10.1063/1.2563172},
journal = {AIP Conference Proceedings},
number = 1,
volume = 885,
place = {United States},
year = {Fri Feb 09 00:00:00 EST 2007},
month = {Fri Feb 09 00:00:00 EST 2007}
}