Continuous differential operators and a new interpretation of the charmonium spectrum
Nuclear Theory
2007-05-23 v1
Abstract
The definition of the standard differential operator is extended from integer steps to arbitrary stepsize. The classical, nonrelativistic Hamiltonian is quantized, using these new continuous operators. The resulting Schroedinger type equation generates free particle solutions, which are confined in space. The angular momentum eigenvalues are calculated algebraically. It is shown, that the charmonium spectrum may be classified by the derived angular momentum eigenvalues for stepsize=2/3.
Keywords
Cite
@article{arxiv.nucl-th/0508033,
title = {Continuous differential operators and a new interpretation of the charmonium spectrum},
author = {R. Herrmann},
journal= {arXiv preprint arXiv:nucl-th/0508033},
year = {2007}
}
Comments
11 pages, 2 figures