1202.1778 (Hayato Saigo)

A New Look at the Arcsine Law and "Quantum-Classical Correspondence"    [PDF]

Hayato Saigo

We prove that the Arcsine law as the "time-averaged distribution" for
classical harmonic oscillator 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.

View original: http://arxiv.org/abs/1202.1778