  In the present paper we discuss how to generalize ``Quantum-Classical
Correspondence'' by means of the notion of interacting Fock spaces, which
associates algebraic probability theory and the theory of orthogonal
polynomials of probability measures. As an application we show that the Arcsine
Law is ``Classical Limit'' for interacting Fock spaces corresponnding to
certain kind of symmetric probability measures such as q-Gaussians. We also
discuss the case of the exponential distribution as a simple example of
asymmetric probability measures.
