Test of Quantum Effects of Spatial Noncommutativity using Modified Electron Momentum Spectroscopy

Abstract

The possibility of testing spatial noncommutativity by current experiments on normal quantum scales is investigated. For the case of both position-position and momentum-momentum noncommuting 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 non-trivial 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.

17 pages, no figure

References in corpus (7)

• Noncommutative Gravitational Quantum Well
• Deformed Two-Photon Squeezed States in Noncommutative Space
• Angular Momentum of Supersymmetric Cold Rydberg Atoms
• Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space
• Un-equivalency Theorem between Deformed and undeformed Heisenberg-Weyl's Algebras
• Probing the electron EDM with cold molecules
• Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes

Cited by in corpus (4)

• Quantum speed limit for a relativistic electron in the noncommutative phase space
• Testing Spatial Noncommutativity via Magnetic Hyperfine Structure Induced by Fractional Angular Momentum of Rydberg System
• Noncommutative Extension of Minkowski Spacetime and Its Primary Application
• Effective Framework of kappa-Minkowski Spacetime and Its Application