2008/11/24 by Jian-Zu Zhang, Jian-zu Zhang, Kelin Gao +2
Physics and Astronomy · #Angular momentum #Angular momentum coupling #Angular momentum operator #Black Holes and Theoretical Physics #Eigenvalues and eigenvectors #Electron #Kinetic energy #Mathematical physics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum mechanics #Spectral line #Spectroscopy #Total angular momentum quantum number #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.78.105021
published as Phys.Rev.D78:105021,2008 · 17 pages, no figure
openalex publication_date 2008/11/24 · arxiv created 2009/01/17 · arxiv updated 2010/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.