Generalized commutation relations and Non linear momenta theories, a close relationship

Abstract

A revision of generalized commutation relations is performed, besides a description of Non linear momenta realization included in some DSR theories. It is shown that these propositions are closely related, specially we focus on Magueijo Smolin momenta and Kempf et al. and L.N. Chang generalized commutators. Due to this, a new algebra arises with its own features that is also analyzed.

accepted version in IJMPD

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Cited by in corpus (8)

• Self-consistency in Theories with a Minimal Length
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• Cosmological Constant from a Deformation of the Wheeler-DeWitt Equation
• Three-parameter (two-sided) deformation of Heisenberg algebra
• 1-D Harmonic Oscillator in Snyder Space, the Classic and the Quantum
• Universal constants and natural systems of units in a spacetime of arbitrary dimension
• New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra
• Nonstandard Deformed Oscillators from $q$- and $p,q$-Deformations of Heisenberg Algebra