Eigenvalue bounds in one dimensional Schrodinger's equation with ultra-short potentials

Gabriel Gonzalez

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arXiv · 1503.00804

Eigenvalue bounds in one dimensional Schrodinger's equation with ultra-short potentials

Gabriel Gonzalez

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Abstract

The problem of a particle localized in a ultra-short potential in one dimension is considered. By proposing a general solution to Schrodinger;s equation we show that the energy spectra and the probability of the particle have definite bounds for an arbitrary ultra-short potential. These results are relevant for the confinement of particles in nanodevices.

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Gabriel Gonzalez. 2015-03-03. Eigenvalue bounds in one dimensional Schrodinger's equation with ultra-short potentials. https://arxiv.org/abs/1503.00804

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