Generalization of coherent state quantization in higher dimensional de Sitter space

Abstract

We have shown coherent state quantization of a particle in a maximally symmetric curved space-time i.e. in de Sitter space. As the coherent states are eigenvectors of the lowering operators, we have constructed the raising and lowering operators with the help of recurrence relation satisfied by the associated Legendre polynomial. These lowering operators have been used to describe an explicit form of coherent states followed by coherent states quantization in two-dimensional de Sitter space. Coherent states and their quantization are also generalized in D-dimensional de Sitter space.