Unusual bound or localized states
Quantum Physics
2015-06-26 v1
Abstract
We summarize unusual bound or localized states in quantum mechanics. Our guide through these intriguing phenomena is the classical physics of the upside-down pendulum. Taking advantage of the analogy between the corresponding Newton's equation of motion and the time-independent Schr\"{o}dinger equation, we discuss the zero-energy ground state in a three-dimensional, spatially oscillating, potential. Moreover, we focus on the effect of the attractive quantum anti-centrifugal potential that only occurs in a two-dimensional situation.
Cite
@article{arxiv.quant-ph/0102065,
title = {Unusual bound or localized states},
author = {M. A. Cirone and G. Metikas and W. P. Schleich},
journal= {arXiv preprint arXiv:quant-ph/0102065},
year = {2015}
}
Comments
11 pages, 4 figures