Ultrarelativistic bound states in the shallow spherical well
Quantum Physics
2018-10-24 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Spectral Theory
Abstract
We determine approximate eigenvalues and eigenfunctions shapes for bound states in the shallow spherical ultrarelativistic well. Existence thresholds for the ground state and first excited states are identified, both in the purely radial and orbitally nontrivial cases. This contributes to an understanding of how energy may be stored or accumulated in the form of bound states of Schr\"odinger - type quantum systems that are devoid of any mass.
Keywords
Cite
@article{arxiv.1611.01745,
title = {Ultrarelativistic bound states in the shallow spherical well},
author = {Mariusz Zaba and Piotr Garbaczewski},
journal= {arXiv preprint arXiv:1611.01745},
year = {2018}
}
Comments
15 pp. 6 figures, VI Tables