Proposed Differential Equation for Spin 1/2

Details Proposed Differential Equation for Spin 1/2 Proposed Differential Equation for Spin 1/2

2004-11-09

arxiv.org/abs/quant-ph/0411060v1

H. V. Mweene, "Proc. Third Int. Workshop on Contemporary Problems in Mathematical Physics", Cotonou 2003, ed. J. Govaerts, M.

Physics

Quantum Physics

6 pages, to appear in Physica Scripta

Scientific paper

Intimate though the connection is between orbital angular momentum and intrinsic spin, there are differences between them the two quantities. One of them is the fact that while orbital angular momentum has a wave-mechanics description by courtesy of Legendre's equation, spin lacks one. In this paper, we show that there exists a differential eigenvalue equation whose solutions are the spin-1/2 eigenvectors.

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