The Equivalence Postulate of Quantum Mechanics: Main Theorems

Details The Equivalence Postulate of Quantum Mechanics: Main Theorems The Equivalence Postulate of Quantum Mechanics: Main Theorems

2009-12-07

arxiv.org/abs/0912.1225v1

Physics

High Energy Physics

High Energy Physics - Theory

30 pages. Standard LaTex

Scientific paper

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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