Dynamic electron correlation in interactions of light with matter formulated in b-space

Abstract

Scattering of beams of light and matter from multi-electron atomic targets is formulated in the position representation of quantum mechanics. This yields expressions for the probability amplitude, a(b), for a wide variety of processes. Here the spatial parameter b is the distance of closest approach of incoming particles traveling on a straight line with the center of the atomic target. The correlated probability amplitude, a(b), reduces to a relatively simple product of single electron probability amplitudes in the widely used independent electron approximation limit, where the correlation effects of the Coulomb interactions between the atomic electrons disappear. As an example in which a(b} has an explicit dependence on b}, we consider transversely finite vortex beams of twisted photons that lack the translational invariance of infinite plane-wave beams. Some experimental considerations and future applications are briefly considered.

20 pages, 5 figures

References in corpus (3)

• Atomic ionization by twisted photons: Angular distribution of emitted electrons
• On Exchange of Orbital Angular Momentum Between Twisted Photons and Atomic Electrons
• Atomic form factor for twisted vortex photons interacting with atoms

Cited by in corpus (7)

• Experimental Verification of Position-Dependent Angular-Momentum Selection Rules for Absorption of Twisted Light by a Bound Electron
• Generation of nonlinear vortex precursors
• High-Multipole Excitations of Hydrogen-Like Atoms by Twisted Photons near Phase Singularity
• Circular Dichroism of Twisted Photons in the Non-Chiral Atomic Matter
• Atomic Spectroscopy with Twisted Photons: Separation of M1--E2 Mixed Multipoles
• Nonlinear Zel'dovich effect: Parametric amplification from medium rotation
• Unified approach towards the dynamics of optical and electron vortex beams