https://doi.org/10.1140/epjd/e2006-00022-6
Two-photon E1M1 and E1E2 transitions between 2p and 1s levels in hydrogen
1
Department of Physics, St. Petersburg State University, 198504 Petrodvorets, St. Petersburg, Russia
2
Petersburg Nuclear Physics Institute, 188350 Gatchina, St. Petersburg, Russia
3
Institut für Theoretische Physik, Technische Universität Dresden, Mommsenstrasse 13, 01062 Dresden, Germany
Corresponding author: a plunien@physik.tu-dresden.de
Received:
19
July
2005
Revised:
17
October
2005
Published online:
31
January
2006
Two-photon transitions in the hydrogen atom are analytically evaluated within the nonrelativistic limit utilizing the Coulomb Green function method. The two-photon emission probability for the transition process 2s→2γ(E1)+1s serves as a test for the other calculations and was compared with the results of previous analytical and numerical calculations. The two-photon emission probabilities for the processes 2p→ γ(E1)+γ(M1)+1s and 2p→γ(E1)+γ(E2)+1s are also evaluated and compared with previous numerical calculations. Different nonrelativistic “forms" for the decay probabilities in combination with different gauge choices are considered.
PACS: 31.30.Jv – Relativistic and quantum electrodynamic effects in atoms and molecules / 12.20.Ds – Specific calculations / 31.15.-p – Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
