Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field
arXiv:1210.0509 · doi:10.1016/j.physletb.2012.10.037
Abstract
The second-order modified Dirac equation leading to the modified dispersion relation due to the Lorentz invariance violation corrections is suggested. The equation is formulated in the 16-component first- order form. I have obtained the projection matrix extracting solutions of the equation with definite spin projections which can be considered as the density matrix for pure spin states. Exact solutions of the equation are found for particles in the external constant and uniform magnetic field. The synchrotron radiation radius within the novel modified Dirac equation is estimated.
11 pages, corrected typo in Eq.(10)
References in corpus (30)
- Lorentz-Violating Extension of the Standard Model
- CPT Violation and the Standard Model
- Data Tables for Lorentz and CPT Violation
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- High-Energy Tests of Lorentz Invariance
- Generalized Lorentz invariance with an invariant energy scale
- CPT, Strings, and Meson Factories
- Electrodynamics with Lorentz-violating operators of arbitrary dimension
- Radiatively Induced Lorentz and CPT Violation in Electrodynamics
- Neutrinos with Lorentz-violating operators of arbitrary dimension
- Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
- Lorentz violation and Crab synchrotron emission: a new constraint far beyond the Planck scale
- Fermions with Lorentz-violating operators of arbitrary dimension
- String Theory Modifies Quantum Mechanics
- Past electron-positron g-2 experiments yielded sharpest bound on CPT violation for point particles
- Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
- Synchrotron Radiation from the Crab Nebula Discriminates between Models of Space-Time Foam
- Improved limit on quantum-spacetime modifications of Lorentz symmetry from observations of gamma-ray blazars
- Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
- A Microscopic Liouville Arrow of Time
- Influence of Lorentz- and CPT-violating terms on the Dirac equation
- Radiatively Induced Lorentz and CPT Violation in Schwinger Constant Field Approximation
- Modified wave equation for spinless particles and its solutions in an external magnetic field
- On the exact Foldy-Wouthuysen transformation for a Dirac spinor in torsion and other CPT and Lorentz violating backgrounds
- A freely falling frame at the interface of gravitational and quantum realms
- Effective Lagrangian at Cubic Order in Electromagnetic Fields and Vacuum Birefringence
- "Square Root" of the Proca Equation: Spin-3/2 Field Equation
- Dirac neutrino mass from the beta decay end-point modified by the dynamics of a Lorentz-violating equation of motion
- On superluminal fermions within the second derivative equation
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- Equations for massless and massive spin-1/2 particles with varying speed and neutrino in matter
- Wave Function of the Universe from a Matrix Valued First-Order Formalism
- On massless and spinless particles with varying speed
- Chiral Dirac Equation and Its Spacetime and CPT Symmetries
- Lorentz Invariance Violation and Modified Hawking Fermions Tunneling from Black Strings
- Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications
- Hawking radiation of rotating BTZ Black hole based on modified dispersion relation and Rarita-Schwinger equation
- Lorentz-breaking Theory and Tunneling Radiation Correction to Vaidya-Banner de Sitter Black Hole
- Chiral Bargmann-Wigner Equations for Spin-1 Massive Fields
- The Accurate Modification of Tunneling Radiation of Fermions with Arbitrary Spin in Kerr-de Sitter Black Hole Space-time