Regular Article - Theoretical Physics
Quantum physics of an elementary system in de Sitter space
Department of Physics, Razi University, Kermanshah, Iran
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Revised: 27 July 2012
Published online: 4 September 2012
We present the coherent states of a scalar massive particle on 1+3-de Sitter space. These states are vectors in Hilbert space, and they are labeled by points in the associated phase space. To do this, we use the fact that the phase space of a scalar massive particle on 1+3-de Sitter space is a cotangent bundle “T ∗(S 3)” which is isomorphic with the complex sphere “”. Then by using the heat kernel on “” that was presented by Hall–Mitchell, we construct our coherent states. At the end, by these states we quantize the classical kinetic energy on de Sitter space.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012