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Positive Quantization in the Presence of a Variable Magnetic Field
Magnetic field pseudodifferential operator coherent state Berezin operator Bargmann transform
2010/12/3
Starting with a previously constructed family of coherent states, we introduce the Berezin quantization for a particle in a variable magnetic field and we show that it constitutes a strict quantizatio...
Equivariant quantization of spin systems
conformal geometry pseudomechanics spin geometry equivariant quantization
2010/12/3
We investigate the geometric and conformally equivariant quantizations of the supercotangent
bundle of a pseudo-Riemannian manifold (M,g), which is a model for the phase space of a classical spin par...
Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule
Woods-Saxon potential improved quantization rule Pekeris approximation
2010/12/13
The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical
Woods-Saxon effective potential in D dimensions are obtained within the new improved quantization rule for al...