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arXiv · 0912.1225

The Equivalence Postulate of Quantum Mechanics: Main Theorems

Alon E. Faraggi·Marco Matone
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Abstract

We consider the two main theorems in the derivation of the Quantum Hamilton--Jacobi Equation from the Equivalence Postulate (EP) of quantum mechanics. The first one concerns a basic cocycle condition, which holds in any dimension with Euclidean or Minkowski metrics and implies a global conformal symmetry underlying the Quantum Hamilton--Jacobi Equation. In one dimension such a condition fixes the Schwarzian equation. The second theorem concerns energy quantization which follows rigorously from consistency of the equivalence postulate.

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Alon E. Faraggi, Marco Matone. 2009-12-07. The Equivalence Postulate of Quantum Mechanics: Main Theorems. https://arxiv.org/abs/0912.1225

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