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

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Cited by in corpus (4)

• Unveiling Phase Space Modifications: A Clash of Modified Gravity and the Generalized Uncertainty Principle
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Bose-Einstein Condensate and Liquid Helium He${}^4$: Implications of GUP and Modified Gravity Correspondence
• Deformed Quantum Mechanics and the Landau Problem