On a Class of Hairy Square Barriers and Gamow Vectors

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...

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Bibliographic Details
Published in:AIP conference proceedings 2007-07, Vol.885 (1), p.30-33
Main Author: Fernandez-Garcia, N
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DEFORMATION
POTENTIALS
PROBABILITY
QUANTUM MECHANICS
RELATIVISTIC RANGE
TRANSFORMATIONS
VECTORS
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.2563172