Europhys. Lett.
Volume 68, Number 4, November 2004
Page(s) 577 - 581
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 27 October 2004
Europhys. Lett., 68 (4), pp. 577-581 (2004)
DOI: 10.1209/epl/i2004-10231-5

Spin and orbital angular momentum

R. L. Liboff

Schools of Electrical Engineering and Applied Physics and Center for Applied Math, Cornell University - Ithaca, NY 14853, USA

received 1 April 2004; accepted in final form 20 September 2004
published online 27 October 2004

It is shown that the existence of a charge-neutral, idealized smooth mesoscopic rigid sphere, characterized by eleven properties, implies a relation between spin and orbital angular momentum. In addition to these properties, this correspondence is based on elements of group theory, conservation of angular momentum, and an ansatz which describes the transition to the quantum domain in the limiting process of a gedanken experiment. Processes in the analysis are relativistically consistent.

75.10.Dg - Crystal-field theory and spin Hamiltonians.
03.30.+p - Special relativity.
03.65.Fd - Algebraic methods.

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