A New Look at the Arcsine Law and "Quantum-Classical Correspondence"
Mathematical Physics
2012-05-15 v2 Functional Analysis
math.MP
Probability
Abstract
We prove that the Arcsine law as the time-averaged distribution for classical harmonic oscillators emerges from the distributions for quantum harmonic oscillators in terms of noncommutative algebraic probability. This is nothing but a simple and rigorous realization of "Quantum-Classical Correspondence" for harmonic oscillators.
Keywords
Cite
@article{arxiv.1202.1778,
title = {A New Look at the Arcsine Law and "Quantum-Classical Correspondence"},
author = {Hayato Saigo},
journal= {arXiv preprint arXiv:1202.1778},
year = {2012}
}
Comments
5 pages