One-dimensional quantum scattering by a parabolic odd potential

Quantum scattering by a one-dimensional odd potential proportional to the square of the distance to the origin is considered. The Schr\"odinger equation is solved exactly and explicit algebraic expressions of the wavefunction are given. A complete discussion of the scattering function reveals t...

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Bibliographic Details
Published in:arXiv.org 2014-01
Main Authors: Ferreira, Erasmo M, Sesma, Javier
Format: Article
Language:English
Subjects:
Resonance scattering
Scattering functions
Online Access:Get full text
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Summary:Quantum scattering by a one-dimensional odd potential proportional to the square of the distance to the origin is considered. The Schr\"odinger equation is solved exactly and explicit algebraic expressions of the wavefunction are given. A complete discussion of the scattering function reveals the existence of Gamow (decaying) states and of resonances.
ISSN:2331-8422
DOI:10.48550/arxiv.1401.6313