Coherent state quantization of a particle in de Sitter space

Abstract

We present a coherent state quantization of the dynamics of a relativistic test particle on a one-sheet hyperboloid embedded in a three-dimensional Minkowski space. The group SO_0(1,2) is considered to be the symmetry group of the system. Our procedure relies on the choice of coherent states of the motion on a circle. The coherent state realization of the principal series representation of SO_0(1,2) seems to be a new result.

Journal of Physics A: Mathematical and General, vol. 37, in press

References in corpus (4)

• The Cosmological Constant and Dark Energy
• Brane World Cosmologies and Statistical Properties of Gravitational Lenses
• Quantization and spacetime topology
• Quantum particle on hyperboloid

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• Coherent states on a circle: the Higgs-like approach
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• Free particle and isotropic harmonic oscillator on a spheroidal surface: the Higgs-like approach