Am. Urnov et Db. Uskov, COLLISIONAL APPROACH TO DYNAMICS OF RESONANCE ATOMIC STATES IN AN EXTERNAL-FIELD, Journal of physics. B, Atomic molecular and optical physics, 26(16), 1993, pp. 2685-2695
The following aspects of the dynamics of an atomic state in an externa
l stationary field are assessed: (i) the rearrangement problem; (ii) t
he description of the appropriate final-channel wavefunctions; (iii) t
he analytical properties of the transition amplitude into the continuu
m. The rearrangement problem was solved by the introduction of the eff
ective Hamiltonian,the eigenstates of which include both the initial s
tate and final states ('modified states of continuum spectrum' MSCS) w
hich describe the potential part of the exact wavefunction of the scat
tering problem. It is shown that the amplitude of decay and transition
into MSCS as functions of time have an exact representation as a sum
of resonance terms defined by a set of resonance states and the matrix
elements of the shift R-matrix operator. Analysing the following expa
nsion basis sets: stationary states, Volkov-Keldysh states and coheren
t states it is shown that the most appropriate one is a modified set o
f Volkov-Keldysh states.