Deformed classical-quantum mechanics transition

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

20 pages, no figures

References in corpus (4)

• Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
• Position-dependent noncommutativity in quantum mechanics
• Noncommutativity due to spin
• Short Time Quantum Propagator and Bohmian Trajectories