Hamilton Operator and the Semiclassical Limit for Scalar Particles in an Electromagnetic Field
arXiv:0810.1604 · doi:10.1007/s11232-008-0108-6
Abstract
We successively apply the generalized Case-Foldy-Feshbach-Villars (CFFV) and the Foldy-Wouthuysen (FW) transformation to derive the Hamiltonian for relativistic scalar particles in an electromagnetic field. In contrast to the original transformation, the generalized CFFV transformation contains an arbitrary parameter and can be performed for massless particles, which allows solving the problem of massless particles in an electromagnetic field. We show that the form of the Hamiltonian in the FW representation is independent of the arbitrarily chosen parameter. Compared with the classical Hamiltonian for point particles, this Hamiltonian contains quantum terms characterizing the quadrupole coupling of moving particles to the electric field and the electric and mixed polarizabilities. We obtain the quantum mechanical and semiclassical equations of motion of massive and massless particles in an electromagnetic field.
17 pages
References in corpus (12)
- Semiclassical limit for Dirac particles interacting with a gravitational field
- Foldy-Wouthuysen transformation for relativistic particles in external fields
- The Foldy-Wouthuysen transformation
- On the Duffin-Kemmer-Petiau Formulation of the Covariant Hamiltonian Dynamics in Field Theory
- The Electromagnetic Coupling in Kemmer-Duffin-Petiau Theory
- Duffin-Kemmer-Petiau and Klein-Gordon-Fock Equations for Electromagnetic, Yang-Mills and external Gravitational Field Interactions: proof of equivalence
- On Equivalence of Duffin-Kemmer-Petiau and Klein-Gordon Equations
- Is Pseudo-Hermitian Quantum Mechanics an Indefinite-Metric Quantum Theory?
- Relativistic Adiabatic Approximation and Geometric Phase
- Exact Foldy-Wouthuysen transformation for spin 0 particle in curved space
- Analysis of wave equations for spin-1 particles interacting with an electromagnetic field
- Duffin-Kemmer-Petiau equation in Riemannian space-times
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