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The Reduction of a Quantum System of Three Identical Particles on a Plane ¤ÎÎý½¬

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In this presentation, the reduction of planar quantum three body problem is consiedered. The particles are assumed to be all identical, with the center of mass fixed at the origin of a given configuration space, and free from any external force. The reduction from the configuration space to the internal (shape) space is performed by defining an equivalence relation on X, the configuration space. The Green kernel for the solution of the system is reduced, and the final solution is expressed with the consideration of the group actions of exchanges of the particles.
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