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Generalized Dirac bracket and the role of the Poincaré symmetry in the program of canonical quantization of fields 2
Generalized Dirac bracket the Poincaré symmetry canonical quantization
2010/11/19
In this article the methods of canonical analysis and quantization that were reviewed in the first part of the series are applied to the case of the Dirac field in the presence of electromagnetic inte...
Deformation Quantization for Heisenberg Supergroup
Deformation Quantization Heisenberg Supergroup
2010/11/17
We construct a non-formal deformation quantization of the Heisenberg supergroup. The deformed star product provides a Universal Deformation Formula, namely it deforms the algebras on which the Heisenb...
Trace Functionals of the Kontsevich Quantization
Trace Functionals Kontsevich Quantization
2010/10/29
We generalize the notion of trace to the Kontsevich quantization algebra and show that for all Poisson manifolds representable by quotients of a symplectic manifold by a Hamiltonian action of a nilpo...
Dual Baxter equations and quantization of Affine Jacobian
Dual Baxter equations quantization Affine Jacobian
2010/11/2
A quantum integrable model is considered which describes a quantization of affine hyper-elliptic Jacobian. This model is shown to possess the property of duality: a dual model with inverse Planck cons...