Continuous differential operators and a new interpretation of the charmonium spectrum

Details Continuous differential operators and a new interpretation of the charmonium spectrum Continuous differential operators and a new interpretation of the charmonium spectrum

2005-08-18

arxiv.org/abs/nucl-th/0508033v1

Physics

Nuclear Physics

Nuclear Theory

11 pages, 2 figures

Scientific paper

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.

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