Creation and annihilation operators on de Sitter manifold

In this paper by using the Kirillov orbit method, we show that the phase space for a scalar massive particle on 1+1-de Sitter space is a cotangent bundle T (S 1) which is isomorphic to the complex circle S1C . The eigenstates in associated Hilbert space which are the coherent states, are obtained from the heat kernel of complex circle. By these states and the Berezin integral quantization, we obtain the creation and annihilation operators on de Sitter.

کلیدواژه ها:

Coherent States ، orbit ، quantization.