Relativistic corrections to the algebra of position variables and spin-orbital interaction

DOI10.1016/j.physletb.2016.08.034zbMath1368.81103arXiv1609.00043OpenAlexW2512831142MaRDI QIDQ2364062

Andrey M. Pupasov-Maksimov, Alexei A. Deriglazov

Publication date: 17 July 2017

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00043

zbMATH Keywords

theories with constraintsfirst relativistic correctionshydrogen atom spectrumnon commutative positionproblem of covariant formalismvector model of relativistic spin

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (10)

Noncommutative effects on the fluid dynamics and modifications of the Friedmann equation ⋮ Relativistic massive particle with spin-1/2: A vector bundle point of view ⋮ Charged black hole in 4D Einstein-Gauss-Bonnet gravity: particle motion, plasma effect on weak gravitational lensing and centre-of-mass energy ⋮ Constrains of charge-to-mass ratios on noncommutative phase space ⋮ Magnetic monopoles in noncommutative quantum mechanics 2 ⋮ Pseudogauge freedom and the SO(3) algebra of spin operators ⋮ Frame-dragging effect in the field of non rotating body due to unit gravimagnetic moment ⋮ Deformations of fluid dynamics and Friedmann equation on noncommutative phase space ⋮ Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in general relativity ⋮ Bundle theoretic descriptions of massive single-particle state spaces; with a view toward relativistic quantum information theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Frenkel electron on an arbitrary electromagnetic background and magnetic \textit{Zitterbewegung}
• Quantum gravitational corrections for spinning particles
• Noncommutative relativistic particle on the electromagnetic background
• Fine structure of constraints in Hamiltonian formulation
• The anomalous Seeman effect for the hydrogen atom in noncommutative space
• Lagrangian for the Frenkel electron
• Ultrarelativistic spinning particle and a rotating body in external fields
• Dynamics of a Dirac fermion in the presence of spin noncommutativity
• Geometric constructions underlying relativistic description of spin on the base of non-Grassmann vector-like variable
• A hydrogen atom on curved noncommutative space
• NONRELATIVISTIC SPIN: à la BEREZIN–MARINOV QUANTIZATION ON A SPHERE
• NEW TREATMENT OF THE NONCOMMUTATIVE DIRAC EQUATION WITH A COULOMB POTENTIAL
• VARIATIONAL PROBLEM FOR THE FRENKEL AND THE BARGMANN–MICHEL–TELEGDI (BMT) EQUATIONS
• Mathisson–Papapetrou–Tulczyjew–Dixon equations in ultra-relativistic regime and gravimagnetic moment
• A covariant multipole formalism for extended test bodies in general relativity
• The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles
• Quantized Space-Time
• Space-Time Approach to Quantum Electrodynamics
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
• Spinning test-particles in general relativity. I

This page was built for publication: Relativistic corrections to the algebra of position variables and spin-orbital interaction