Quantum Uncertainty in Doubly Special Relativity

By J. Cortés, J. Gamboa. 2004

190 citations recorded by the source corpus.

A discussion of the modification of the phase-space commutators in a quantum mechanical relativistic theory with an invariant length scale (DSR) is presented. Two examples are discussed where a classical behavior is approached in one case when the energy approaches the inverse of the invariant length which appears as a cutoff in the energy and in the second case when the mass is much larger than the inverse of the invariant length.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ba1d85bb9dc2cf55b5cc58be18e3677c47834293

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field (2011, background): “Moreover, in doubly special relativity theories, in order to preserve velocity of light and the Planck energy as two invariant quantities, the existence of a maximal momentum is essentially required [17, 18, 19].”
Generalized Uncertainty Principle: Approaches and Applications (2014, methodology): “The presence of an upper bound agrees with DSR [62, 108].”