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arXiv · 1401.6313

One-dimensional quantum scattering by a parabolic odd potential

Erasmo M. Ferreira·Javier Sesma
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Abstract

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.

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Erasmo M. Ferreira, Javier Sesma. 2014-01-24. One-dimensional quantum scattering by a parabolic odd potential. https://doi.org/10.1088/1751-8113/45/41/415302

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