Relativistic Harmonic Oscillator
高能物理 - 唯象学
2009-11-11 v2 数学物理
math.MP
量子物理
摘要
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.
引用
@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}
}
备注
14 pages, extended discussion of results