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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2025-08-21 0:47 |
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Conference: Bucharest University Faculty of Physics 2025 Meeting
Section: Theoretical and Computational Physics, High-Energy Physics, Applied Mathematics
Title:
Classical and Quantum Description of the Kapitza–Dirac Effect
Authors:
Darius Banu, Richard Radu, Madalina Boca
Affiliation:
Department of Physics, University of Bucharest
E-mail
darius-matei.banu@s.unibuc.ro
Keywords:
Kapitza-Dirac, ponderomotive force, Goursat problem
Abstract:
In this presentation, we explore the classical and quantum descriptions of the Kapitza-Dirac effect: the scattering of particles, such as electrons or atoms, by a standing wave electromagnetic field.
In the classical case we integrate the equation of motion, both in their exact form and using the ponderomotive approximation, for a statistical ensemble of electrons. We present graphical representations of the final momentum distribution as a function of the particles' initial positions.
For the quantum description, we integrate the Klein–Gordon equation for a charged particle interacting with the standing wave. Using a method inspired by the work of Gavrila [1], we show that the Klein–Gordon equation reduces to a linear Goursat problem, which we solve numerically. A possible comparison between the classical and quantum results is discussed.
References:
[1] M. Gavrila, “Crossed-laser-beam solutions for the Klein-Gordon equation”, Phys. Rev. A 99, 012120 (2019)
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