Equivalence Postulate and the Quantum Potential of Two Free Particles

Details Equivalence Postulate and the Quantum Potential of Two Free Particles Equivalence Postulate and the Quantum Potential of Two Free Particles

2002-12-20

arxiv.org/abs/hep-th/0212260v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX. Talk at the First International Conference on String Cosmology. Oxford, United Kingdom. July 2002

Scientific paper

Commutativity of the diagram of the maps connecting three one--particle state, implied by the Equivalence Postulate (EP), gives a cocycle condition which unequivocally leads to the quantum Hamilton--Jacobi equation. Energy quantization is a direct consequences of the local homeomorphicity of the trivializing map. We review the EP and show that the quantum potential for two free particles, which depends on constants which may have a geometrical interpretation, plays the role of interaction term that admits solutions which do not vanish in the classical limit.

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