Time Evolution of a Quantum Particle and a Generalized Uncertainty Principle

Details Time Evolution of a Quantum Particle and a Generalized Uncertainty Principle Time Evolution of a Quantum Particle and a Generalized Uncertainty Principle

2003-02-24

arxiv.org/abs/gr-qc/0302096v1

Rel.Grav.Cosmol. 1 (2004) 89-95

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted in Gravitation, Relativity, Cosmology

Scientific paper

Some of the possible consequences of a generalized uncertainty principle (which emerges in the context of string theory and quantum gravity models as a consequence of fluctuations of the background metric) are analyzed considering the case of a quantum particle immersed in a homogeneous gravitational field. It will be shown that the expectation value of the momentum operator depends in a novel way on the mass of the involved particle. This kind of physical characteristics could be, in principle, detected. In other words, one way of confronting against the experiment some of the models around quantum gravity is given by the detection of the dependence upon the mass parameter of the expectation value of the momentum operator.

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