Motion and radiation of an electron exhibiting a vacuum magnetic moment in the field of a plane electromagnetic wave

Dynamics of a fermion with dipole moments in external wave fields

“…The dynamics of a neutron in the electromagnetic field, and in particular, in the plane wave was previously discussed in [37,38,39,40,41,42,43,44,45,46,47]. Our analysis now takes into account both the magnetic and the electric dipole moments.…”

Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field

“…Since eigenfunctions of the FW Hamiltonian (1) are also eigenfunctions of the operator p 2 , they are defined by the nonrelativistic Landau solution [37][38][39]. The eigenfunctions are more complicated when the Dirac representation is used [13,14,[40][41][42][43]. Certainly, the energy eigenvalues do not depend on a representation and are given by [13,14,33,[37][38][39][40][41][42][43] | |.…”

“…The eigenfunctions are more complicated when the Dirac representation is used [13,14,[40][41][42][43]. Certainly, the energy eigenvalues do not depend on a representation and are given by [13,14,33,[37][38][39][40][41][42][43] | |. The relativistic approach (unlike the nonrelativistic one) demonstrates that the Landau levels are not equidistant for any field strength [22].…”