TY - JOUR
KW - non-Palaiseau
KW - paper
AU - C Szymanowski
AU - Valérie Véniard
AU - Richard Taïeb
AU - Alfred Maquet
AB - Using a representation of the (first-order) Dirac Coulomb Green function in terms of an expansion over a Sturmian basis, we have computed two-photon probability amplitudes for transitions in hydrogenic atoms from the ground state towards states in the L and M shells. The treatment takes care of the relativistic structure of the atoms according to the Dirac theory and of the fully retarded interaction with the electromagnetic field. We present in detail the Sturmian-like expansion for the Dirac Coulomb Green function and we discuss the relative importance of relativistic and retardation effects occurring for higher nuclear charge Z. Comparison is made also with the nonrelativistic Schrodinger treatment, retardation included or not.
BT - PHYSICAL REVIEW A
DA - JUL
M1 - 1
N2 - Using a representation of the (first-order) Dirac Coulomb Green function in terms of an expansion over a Sturmian basis, we have computed two-photon probability amplitudes for transitions in hydrogenic atoms from the ground state towards states in the L and M shells. The treatment takes care of the relativistic structure of the atoms according to the Dirac theory and of the fully retarded interaction with the electromagnetic field. We present in detail the Sturmian-like expansion for the Dirac Coulomb Green function and we discuss the relative importance of relativistic and retardation effects occurring for higher nuclear charge Z. Comparison is made also with the nonrelativistic Schrodinger treatment, retardation included or not.
PY - 1997
SP - 700
EP - 711
T2 - PHYSICAL REVIEW A
TI - Relativistic calculation of two-photon bound-bound transition amplitudes in hydrogenic atoms
VL - 56
SN - 1050-2947
ER -