Relativistic Ponderomotive Hamiltonian of Two Interacting Electromagnetic Waves

Phys. Rev. A 31, 914 (1985)https://ireap.umd.edu/10.1103/PhysRevA.31.9141985Journal ArticleComplex and Emergent Systems

An expression for the ponderomotive Hamiltonian for a relativistic particle gyrating in a quasistatic magnetic field and in the presence of two interacting electromagnetic waves is derived. The frequencies of the waves are of the order of the gyrofrequency meaning that an average is performed over the gyration and the rapid oscillations of the waves leading to the ponderomotive Hamiltonian which contains only quasistatic and slow oscillatory terms.