Quantum operators on 1+1-de Sitter space

In this study, the phase space of a scalar massive particle in 1+1-de Sitter space is described as a cotangent bundle [Formula: see text], which is isomorphic to the complex circle [Formula: see text]. The eigenstates in the corresponding Hilbert space, known as coherent states, are obtained from the heat kernel of this complex circle, as suggested by Hall-Mitchell. By utilizing these coherent states and Berezin quantization, we introduce several important operators in the Hilbert space. These coherent states and operators are characterized by a positive real parameter [Formula: see text]. The study also explores the advantages and disadvantages of this quantization method in 1+1-de Sitter space.