Construction of the reduced spin and helicity density matrix for systems of two and three particles are described by a wave packet with sharp and Gaussian momentum distribution. The entropy for the spin and helicity part of the systems is calculated from the viewpoint of moving observers.
We show that the coherent state quantization of massive particles in 1+1 de Sitter space exhibits an ordering property: There exist some classical observables A andwhere O A is the quantum observable corresponding to the classical observable A.
Hall and Mitchell described a family of heat kernels (or equivalently coherent states) and an associated resolution of the identity for a quantum particle whose classical configuration space is the d-dimensional sphere Sd J. Math. Phys. 43(3), 1211 (2002). These heat kernels were chosen intelligently but in the case of d = 2, “one” of the formulas for the heat kernel must be corrected.
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