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 (8)
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- 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
- Equivalence principle and experimental tests of gravitational spin effects
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Cited by in corpus (26)
- Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
- General treatment of quantum and classical spinning particles in external fields
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- 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
- Manipulating twisted electron beams
- 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
- Scalar particle in general inertial and gravitational fields and conformal invariance revisited
- General relativity effects in precision spin experimental tests of fundamental symmetries
- Relativistic quantum-mechanical description of twisted paraxial electron and photon beams
- General quantum-mechanical solution for twisted electrons in a uniform magnetic field
- Electric quadrupole moment and the tensor magnetic polarizability of twisted electrons and a potential for their measurements
- Relativistic spin dynamics conditioned by dark matter axions
- Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes
- New symmetry properties of pointlike scalar and Dirac particles
- Spin effects and compactification
- Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field
- Quantum-Mechanical Description of Spin-1/2 Particles and Nuclei Channeled in Bent Crystals
- Production of twisted particles in heavy-ion collisions
- Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian