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

Details A New Look at the Arcsine Law and "Quantum-Classical Correspondence" A New Look at the Arcsine Law and "Quantum-Classical Correspondence"

2012-02-08

arxiv.org/abs/1202.1778v1

Physics

Mathematical Physics

5 pages

Scientific paper

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.

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