Test of quantum effects of spatial noncommutativity using modified electron momentum spectroscopy

Jian-Zu Zhang, Ke-Lin Gao, and Chuan-Gang Ning
Phys. Rev. D 78, 105021 – Published 24 November 2008

Abstract

The possibility of testing spatial noncommutativity by current experiments on normal quantum scales is investigated. In the case of both position-position and momentum-momentum noncommuting the spectra of ions in crossed electric and magnetic fields are studied in the formalism of noncommutative quantum mechanics. In a limit of the kinetic energy approaching its lowest eigenvalue, this system possesses nontrivial dynamics. Signals of spatial noncommutativity in the angular momentum are revealed. They are within limits of the measurable accuracy of current experiments. An experimental test of the predictions using a modified electron momentum spectrum is suggested. The related experimental sensitivity and subtle points are discussed. The results are the first step on a realizable way towards a conclusive test of spatial noncommutativity.

  • Received 24 September 2008

DOI:https://doi.org/10.1103/PhysRevD.78.105021

©2008 American Physical Society

Authors & Affiliations

Jian-Zu Zhang1,*, Ke-Lin Gao2, and Chuan-Gang Ning3

  • 1Institute for Theoretical Physics, East China University of Science and Technology, Box 316, Shanghai 200237, People’s Republic of China
  • 2State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Science, Wuhan 430071, People’s Republic of China
  • 3Department of Physics and Key Laboratory of Atomic and Molecular NanoSciences of MOE, Tsinghua University, Beijing 100084, People’s Republic of China

  • *Corresponding author

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Issue

Vol. 78, Iss. 10 — 15 November 2008

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