Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Fernández-García, N., Rosas-Ortiz, O.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146861
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time / N. Fernández-García, O. Rosas-Ortiz // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 56 назв. — англ.

We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation. Scattering states are shown to include cases in which the impinging particle is 'captured' by t...