The Pauli Principle for Two Particles in a Dequantization Scheme Based on Coherent States

The dequantization scheme developed in [1] is modified in the present paper to incorporate the orbital symmetry for a system of two particles. Classical functions on phase space are introduced as expectation values of operators between symmetrized coherent states of the Weyl group. The equations of motion are derived from the timedependent variational principle. An analysis of the classical trajectories in phase space shows that the symmetrized or antisymmetrized states correspond to pairs of trajectories whose points are connected by the classical permutation operation. Specific examples are given for a system of two nucleons with an effective interaction.