Sergei Shabanov
Orbit space geometry in gauge systems and affine quatization
A method of constructing an explicitly gauge invariant symplectic structure is proposed. Its quantization automatically takes into account geometry of the physical configuration and phase spaces. The approach is a generalization of the affine quantization for configuration spaces with boundaries developed earlier by John Klauder. The method is illustrated with solvable examples of gauge systems in which the geometry of the physical configuration and phase spaces has a significant effect on the spectrum of the Hamiltonain.
