Noninertial effects on nonrelativistic topological quantum scattering

We investigate noninertial effects on the scattering problem of a nonrelativistic particle in the cosmic string spacetime. By considering the nonrelativistic limit of the Dirac equation we are able to show, in the regime of small rotational frequencies, that the phase shift has two contribution: one...

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Bibliographic Details
Published in:General relativity and gravitation 2017-08, Vol.49 (8), p.1-13, Article 104
Main Authors: Mota, H. F., Bakke, K.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Dirac equation
Gravity
Mathematical and Computational Physics
Phase shift
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Scattering
Scattering amplitude
Theoretical
Topology
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Summary:We investigate noninertial effects on the scattering problem of a nonrelativistic particle in the cosmic string spacetime. By considering the nonrelativistic limit of the Dirac equation we are able to show, in the regime of small rotational frequencies, that the phase shift has two contribution: one related to the noninertial reference frame, and the other, due to the cosmic string conical topology. We also show that both the incident wave and the scattering amplitude are altered as a consequence of the noninertial reference frame and depend on the rotational frequency.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-017-2266-z