Foldy-Wouthuysen transformation for relativistic particles in external fields

Abstract

A method of Foldy-Wouthuysen transformation for relativistic spin-1/2 particles in external fields is proposed. It permits determination of the Hamilton operator in the Foldy-Wouthuysen representation with any accuracy. Interactions between a particle having an anomalous magnetic moment and nonstationary electromagnetic and electroweak fields are investigated.

22 pages

Cited by in corpus (65)

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• Foldy-Wouthyusen Transformation and Semiclassical Limit for Relativistic Particles in Strong External Fields
• Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
• Equivalence principle and experimental tests of gravitational spin effects
• Foldy-Wouthyusen wave functions and conditions of transformation between Dirac and Foldy-Wouthuysen representations
• General method of the relativistic Foldy-Wouthuysen transformation and proof of validity of the Foldy-Wouthuysen Hamiltonian
• Position and spin in relativistic quantum mechanics
• General properties of the Foldy-Wouthuysen transformation and applicability of the corrected original Foldy-Wouthuysen method
• Relativistic quantum dynamics of twisted electron beams in arbitrary electric and magnetic fields
• Semiclassical dynamics and transport of the Dirac spin
• Classical Limit of Relativistic Quantum Mechanical Equations in the Foldy-Wouthuysen Representation
• Comparative analysis of direct and "step-by-step" Foldy-Wouthuysen transformation methods
• Manifestations of the rotation and gravity of the Earth in high-energy physics experiments
• Quantum-mechanical description of spin-1 particles with electric dipole moments
• Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle
• Energy expectation values of a particle in nonstationary fields
• High-precision description and new properties of a spin-1 particle in a magnetic field
• Fully relativistic kinetic equation for spin-1/2 particles in the long scale-length approximation
• Scalar particle in general inertial and gravitational fields and conformal invariance revisited
• Hamilton Operator and the Semiclassical Limit for Scalar Particles in an Electromagnetic Field
• General relativity effects in precision spin experimental tests of fundamental symmetries
• Analytic Representation of The Square-Root Operator
• Electric quadrupole moment and the tensor magnetic polarizability of twisted electrons and a potential for their measurements
• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• General quantum-mechanical solution for twisted electrons in a uniform magnetic field
• Connection Between Wave Functions in the Dirac and Foldy-Wouthuysen Representations
• Spin-rotation couplings: spinning test particles and Dirac field
• Relativistic spin dynamics conditioned by dark matter axions
• Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes
• High-order Foldy-Wouthuysen transformations of the Dirac and Dirac-Pauli Hamiltonians in the weak-field limit
• Correspondence between classical and Dirac-Pauli spinors in view of the Foldy-Wouthuysen transformation
• Diagonal Representation for a Generic Matrix Valued Quantum Hamiltonian
• New symmetry properties of pointlike scalar and Dirac particles
• 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
• Non-relativistic expansion of single-nucleon Dirac equation: Comparison between Foldy-Wouthuysen transformation and similarity renormalization group
• Foldy-Wouthuysen transformation for a Dirac-Pauli dyon and the Thomas-Bargmann-Michel-Telegdi equation
• Kinetic theory for spin-1/2 particles in ultra-strong magnetic fields
• Spin effects and compactification
• Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field
• Exact Foldy-Wouthuysen transformation of the Dirac-Pauli Hamiltonian in the weak-field limit by the method of direct perturbation theory
• Polarization of spin-1 particles without an anomalous magnetic moment in a uniform magnetic field
• Dynamics of the relativistic electron spin in an electromagnetic field
• Validation of the Eriksen Method of the Exact Foldy-Wouthuysen Representation
• Bogoliubov transformations and fermion condensates in lattice field theories
• Quantum-mechanical description of Lense-Thirring effect for relativistic scalar particles
• Bouncing Dirac particles: compatibility between MIT boundary conditions and Thomas precession
• Exact quantum-mechanical equations for particle beams
• Unitary equivalence of twisted quantum states
• Quantum mechanics of fermion confined to a curved surface in Foldy-Wouthuysen representation
• Effective Low-Energy Potential for Slow Dirac Fermions in Einstein-Cartan Gravity with Torsion and Chameleon
• Metric-scalar gravity with torsion and the measurability of the non-minimal coupling
• Quantum-Mechanical Description of Spin-1/2 Particles and Nuclei Channeled in Bent Crystals
• Effective electric and magnetic polarizabilities of pointlike spin-1/2 particles
• Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian
• Twisted charged particles in the uniform magnetic field with broken symmetry
• Production of twisted particles in heavy-ion collisions
• Universal Analytic Solution for the Quantum Transport of Structured Matter-Waves in Magnetic Optics
• Two-vortex structure of electron, nonlocality and Dirac equation
• Decoherence-Free Entropic Gravity for Dirac Fermion
• High energy scattering of Dirac particles on smooth potentials
• Exact Foldy-Wouthuysen transformation for a Dirac equation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field
• The analogy of the Lorentz-violating fermion-gravity and fermion photon couplings
• Transformation of bound states of relativistic hydrogen-l ike atom into two-component form
• Energy of a point-like neutron in an external electromagnetic field