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Phys. Rev. D 71, 065015 (2005) [4 pages]

Quantum uncertainty in doubly special relativity

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J. L. Cortés*
Departamento de Física Teórica, Universidad de Zaragoza, Zaragoza 50009, Spain

J. Gamboa
Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago 2, Chile

Received 11 June 2004; revised 9 February 2005; published 28 March 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.065015
DOI:
10.1103/PhysRevD.71.065015
PACS:
03.30.+p, 04.50.+h, 04.60.–m

*Electronic address: cortes@unizar.es

Electronic address: jgamboa@lauca.usach.cl