Deformed classical-quantum mechanics transition

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 $\hbar$ for small values of $n$ (the eigenvalue of the number operator), and zero for large values of $n$ (the system is classicalized).

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