Constructing measures for spin-variable path integrals
- 1 October 1982
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (10) , 1797-1805
- https://doi.org/10.1063/1.525233
Abstract
By exploiting the overcompleteness of the spin-coherent states we derive expressions for spin-kinematics path integrals (specifically for spin 1/2 and spin 1) in terms of genuine (Wiener) measures on continuous paths lying on the unit sphere and for certain dynamical systems which when projected onto the subspace spanned by the proper spin-coherent-state matrix elements yield the appropriate quantum-mechanical propagator.Keywords
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