Exact Foldy-Wouthuysen transformation for a Dirac equation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field
arXiv:2309.08056 · doi:10.1142/S0217751X23501737
Abstract
The Thomas-Bargmann-Michel-Telegdi (T-BMT) equation is derived using the Exact Foldy-Wouthuysen transformation. Extra new terms were found, and we discuss their possible physical applications. The main point of this work is to detail the procedure to get the general result. We explicitly present the choice of parametrization we used on the initial Hamiltonian and the motivations to take it. We emphasize that the final equations can depend on this choice, and it is possible to prevent the manipulations of the quadratic Hamiltonian become extremely cumbersome. More importantly, it is done in such a way that the transformed equations allow the direct separation into mass, kinetic, and interaction correction terms to the original T-BMT equation.
References in corpus (31)
- Dissipationless Quantum Spin Current at Room Temperature
- Physical Aspects of the Space-Time Torsion
- Dynamics of spin 1/2 quantum plasmas
- Spin magnetohydrodynamics
- Theory of Spin Hall conductivity in n-doped GaAs
- Spin transverse force on spin current in an electric field
- Spin, gravity, and inertia
- Semiclassical limit for Dirac particles interacting with a gravitational field
- Foldy-Wouthyusen Transformation and Semiclassical Limit for Relativistic Particles in Strong External Fields
- Foldy-Wouthuysen transformation for relativistic particles in external fields
- Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
- The Foldy-Wouthuysen transformation
- Derivation of Generalized Thomas-Bargmann-Michel-Telegdi Equation for a Particle with Electric Dipole Moment
- Equivalence principle and experimental tests of gravitational spin effects
- Feasibility of search for nuclear electric dipole moments at ion storage rings
- Equations of Motion of Spinning Relativistic Particle in Electromagnetic and Gravitational Fields
- Foldy-Wouthyusen wave functions and conditions of transformation between Dirac and Foldy-Wouthuysen representations
- Comparative analysis of direct and "step-by-step" Foldy-Wouthuysen transformation methods
- Identifying the Stern-Gerlach force of classical electron dynamics
- Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle
- On the exact Foldy-Wouthuysen transformation for a Dirac spinor in torsion and other CPT and Lorentz violating backgrounds
- Spin effects in relativistic ionization with highly charged ions in super-strong laser fields
- Spin precession of a particle with an electric dipole moment: contributions from classical electrodynamics and from the Thomas effect
- Exact Foldy-Wouthuysen transformation for gravitational waves and magnetic field background
- Correspondence between classical and Dirac-Pauli spinors in view of the Foldy-Wouthuysen transformation
- The Exact Foldy-Wouthuysen Transformation for a Dirac Theory with the complete set of CPT-Lorentz violating terms
- The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited
- Electromagnetic Deflection of Spinning Particles
- Non-relativistic Reduction of Spinors, New Currents and their Algebra
- Some Aspects of the Exact Foldy-Wouthuysen Transformation for a Dirac Fermion
- The space-time torsion in the context of the Exact Foldy-Wouthuysen Transformation for a Dirac fermion