Abstract

An approach to study a generalization of the classical-quantum transition for general systems is proposed. In order to develop the idea, a deformation of the ladder operators algebra is proposed that contains a realization of the quantum group SU(2)q as a particular case. In this deformation Planck's constant becomes an operator whose eigenvalues approach for small values of n (the eigenvalue of the number operator) and zero for large values of n (the system is classicalized).