Classical Limit of Relativistic Quantum Mechanical Equations in the Foldy-Wouthuysen Representation
arXiv:1302.2080 · doi:10.1134/S1547477113020131
Abstract
It is shown that, under the Wentzel-Kramers-Brillouin approximation conditions, using the Foldy-Wouthuysen representation allows the problem of finding a classical limit of relativistic quantum mechanical equations to be reduced to the replacement of operators in the Hamiltonian and quantum mechanical equations of motion by the respective classical quantities.
6 pages
References in corpus (5)
- Spin dynamics in gravitational fields of rotating bodies and the equivalence principle
- Equivalence principle and experimental tests of gravitational spin effects
- Dirac fermions in strong gravitational fields
- Hamilton Operator and the Semiclassical Limit for Scalar Particles in an Electromagnetic Field
- Tensor electric polarizability of the deuteron in storage-ring experiments
Cited by in corpus (6)
- Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
- General method of the relativistic Foldy-Wouthuysen transformation and proof of validity of the Foldy-Wouthuysen Hamiltonian
- Quantum-mechanical description of spin-1 particles with electric dipole moments
- Energy expectation values of a particle in nonstationary fields
- High-precision description and new properties of a spin-1 particle in a magnetic field
- New symmetry properties of pointlike scalar and Dirac particles