2006/09/30 by Yu. A. Sitenko, Andrey V. Solov’yov, A. V. Solovyov +2
Physics and Astronomy · #Angular momentum #Angular momentum coupling #Angular momentum operator #Azimuthal quantum number #Charge (physics) #Electron #Magnetic monopole #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #Quantum number #Spin (aerodynamics) #Spin polarization #Spin quantum number #Total angular momentum quantum number #hep-th
paper · pdf · doi:10.1103/physrevd.74.085009
published as Phys.Rev.D74:085009,2006 · 24 pages, minor grammatical changes, journal version
arxiv created 2006/10/06 · openalex publication_date 2006/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A Dirac electron field is quantized in the background of a Dirac magnetic monopole, and the phenomenon of induced quantum numbers in this system is analyzed. We show that, in addition to electric charge, also squares of orbital angular momentum, spin, and total angular momentum are induced. The functional dependence of these quantities on the temperature and the CP-violating vacuum angle is determined. Thermal quadratic fluctuations of charge and squared total angular momentum, as well as the correlation between them and their correlations with squared orbital angular momentum and squared spin, are examined. We find the conditions when charge and squared total angular momentum at zero temperature are sharp quantum observables rather than mere quantum averages.