Quantization of Kähler manifolds admitting $H$-projective mappings

Details Quantization of Kähler manifolds admitting $H$-projective mappings Quantization of Kähler manifolds admitting $H$-projective mappings

1995-08-04

arxiv.org/abs/dg-ga/9508002v1

Mathematics

Differential Geometry

11 pages, LaTeX

Scientific paper

We discuss the quantization of mechanical systems for which the Hamiltonian vector fields of observables form the deformation of $n$-dimensional oscilator algebra. Because of this fact these systems can be considered as "deformations" of the harmonic oscillator. The set of abovementioned mechanical systems are realized at the classical level in the form of K\"ahler manifolds of constant holomorphic curvature. Such mechanical systems are quantized later with the help of the geometric quantization approach. We also discuss the quantization of more general K\"ahler manifolds (not necessarily of constant holomorphic curvature) admitting $H$-projective mappings.

Affiliated with

Also associated with

No associations

Rating

Quantization of Kähler manifolds admitting $H$-projective mappings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantization of Kähler manifolds admitting $H$-projective mappings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization of Kähler manifolds admitting $H$-projective mappings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-469072