Relativistic Harmonic Oscillator
High Energy Physics - Phenomenology
2009-11-11 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We study the semirelativistic Hamiltonian operator composed of the relativistic kinetic energy and a static harmonic-oscillator potential in three spatial dimensions and construct, for bound states with vanishing orbital angular momentum, its eigenfunctions in compact form, i. e., as power series, with expansion coefficients determined by an explicitly given recurrence relation. The corresponding eigenvalues are fixed by the requirement of normalizability of the solutions.
Cite
@article{arxiv.hep-ph/0501268,
title = {Relativistic Harmonic Oscillator},
author = {Z. -F. Li and J. J. Liu and Wolfgang Lucha and W. G. Ma and F. F. Schoberl},
journal= {arXiv preprint arXiv:hep-ph/0501268},
year = {2009}
}
Comments
14 pages, extended discussion of results