The Equivalence Postulate of Quantum Mechanics: Main Theorems
High Energy Physics - Theory
2018-06-20 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.0912.1225,
title = {The Equivalence Postulate of Quantum Mechanics: Main Theorems},
author = {Alon E. Faraggi and Marco Matone},
journal= {arXiv preprint arXiv:0912.1225},
year = {2018}
}
Comments
30 pages. Standard LaTex