Eigenvalue bounds in one dimensional Schrodinger's equation with ultra-short potentials
Quantum Physics
2015-03-04 v1
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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Cite
@article{arxiv.1503.00804,
title = {Eigenvalue bounds in one dimensional Schrodinger's equation with ultra-short potentials},
author = {Gabriel Gonzalez},
journal= {arXiv preprint arXiv:1503.00804},
year = {2015}
}
Comments
2 pages