The integrability of Pauli system in Lorentz violating background

2007/09/27 by Mariana Frank, Ismail Turan, Ismet Yurdusen +1 · 7 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Dirac (video compression format) #Extension (predicate logic) #Limit (mathematics) #Lorentz transformation #Noncommutative and Quantum Gravity Theories #Order (exchange) #Pauli exclusion principle #Spin (aerodynamics) #hep-ph #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/01/039

published in Journal of High Energy Physics 2008(01), 039 (Springer Nature) · 19 pages

arxiv created 2007/09/27 · openalex publication_date 2008/01/16 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We systematically analyze the integrability of a Pauli system in Lorentz violating background at the non-relativistic level both in two- and three-dimensions. We consider the non-relativistic limit of the Dirac equation from the QED sector of the so-called Standard Model Extension by keeping only two types of background couplings, the vector a_mu and the axial vector b_mu. We show that the spin-orbit interaction comes as a higher order correction in the non-relativistic limit of the Dirac equation. Such an interaction allows the inclusion of spin degree non-trivially, and if Lorentz violating terms are allowed, they might be comparable under special circumstances. By including all possible first-order derivative terms and considering the cases a≠ 0, b≠ 0, and b₀≠ 0 one at a time, we determine the possible forms of constants of motion operator, and discuss the existence or continuity of integrability due to Lorentz violating background.

Citations

• Zur Theorie des Wasserstoffatoms
• Photon decay in a CPT-violating extension of quantum electrodynamics
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