Yousef I. Salamin

Generation of Compton harmonics by scattering linearly polarized light of arbitrary intensity from free electrons of arbitrary initial velocity

We present an analytic classical relativistic derivation for a general expression of the harmonic power generated per unit laboratory solid angle due to Compton scattering of plane wave, linearly polarized light of arbitrary intensity from free electrons moving initially with arbitrary velocity. We show graphically the generated frequency as a function of the coordinates of the observation point for several initial electron kinetic energies and light field intensities.

On the quantum harmonic oscillator driven by a strong linearly polarized field

We present an approximate analytic solution to the time-dependent Schrodinger equation of a charged harmonic oscillator in the presence of a strong laser field, based upon the technique advanced recently by Frasca (1992). The resulting wavefunction is then used to derive expressions for the survival probability of the ground state and the probability of transition to an arbitrary higher state.

CLASSICAL RELATIVISTIC DYNAMICS OF A FREE ELECTRON IN AN INTENSE LASER FIELD

We present a classical analytical investigation of the dynamics of a relativistic electron in a super-intense, ultra-short laser pulse. The set of equations used in this study were obtained from a Hamilton - Jacobi formulation. Motion, in vacuum, of a free electron, in a linearly polarized laser pulse is discussed and the recent related results of Hartemann et al are confirmed and extended to other possible initial conditions on the direction of motion of the electron.

Matrix elements ⟨n∣rβ∣s⟩ for arbitrary β with relativistic hydrogenic functions

We report an analytic expression by means of which generalized matrix elements of rβ, for arbitrary β and using the relativistic Dirac-Coulomb wavefunctions, may be calculated exactly. A couple of examples are worked out fully and are shown to reproduce their nonrelativistic counterparts, available in the literature, when the nonrelativistic quantum numbers are used.

On the Dirac equation with anomalous magnetic moment term and a plane electromagnetic field

We solve the non-minimally coupled Dirac equation for a particle with an anomalous magnetic moment in the presence of a plane electromagnetic wave, directly and from first principles. The exact wavefunction, obtained in this way, is shown to reduce to the Volkov state when the particles anomaly is set equal to zero. Other limiting cases are also considered and their importance is pointed out.

Multiphoton processes without the dipole approximation

Abstract We employ the lowest-order analytic solution of the Schrodinger equation, obtained via an asymptotic expansion of the wavefunction, to calculate the transition matrix elements of some typical multiphoton processes without making the dipole approximation.

Evaluation of the diagonal matrix elements for arbitrary β and fixed I with relativistic hydrogenic functions

We present a simple analytic expression for the generalized diagonal matrix element for arbitrary β and fixed l, using the fully relativistic hydrogen wavefunctions. On the basis of this expression, exact matrix elements corresponding to the value of l in the range n - 5 ≤ l ≤ n - 1 are obtained and shown to reduce to their nonrelativistic counterparts when the appropriate limit is taken.

Nonrelativistic Strong-Field Photoionization without Making the Dipole Approximation

Within the context of the time-reversed S-matrix approach to photoionization, and employing a recently proposed strong-field solution to the Schrödinger equation, analytic expressions for the atomic photoionization rates are obtained here without using the dipole approximation. We show that the absorbed photon momentum shows up as a forward-directed momentum component for the photoelectron. All the expressions reported in this work have the correct limits when the dipole approximation is used.

Matrix elements langnmidr?midsrang for arbitrary ? with relativistic hydrogenic functions

We report an analytic expression by means of which generalized matrix elements of rβ, for arbitrary β and using the relativistic Dirac-Coulomb wavefunctions, may be calculated exactly. A couple of examples are worked out fully and are shown to reproduce their nonrelativistic counterparts, available in the literature, when the nonrelativistic quantum numbers are used.

Matrix elements langnmidrβmidsrang for arbitraryβwith relativistic hydrogenic functions

We report an analytic expression by means of which generalized matrix elements of rβ, for arbitrary β and using the relativistic Dirac-Coulomb wavefunctions, may be calculated exactly. A couple of examples are worked out fully and are shown to reproduce their nonrelativistic counterparts, available in the literature, when the nonrelativistic quantum numbers are used.