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value is the bound energy of one excited atom or the summed bound energies of both

excited atoms. In this model, the value of the ionization is mainly determined by the

parameter "
o
only, and this does not depend on whether it is the binding energy of

one excited atom or the total binding energy of two excited atoms.

Concluding this section, we discuss the issue that is associated with the behavior

of the considered quantum system for the case of the weak exothermic (or

endothermic) AI process, when the bound electron energy
E
*
of the atom X
*
and

the electron energy " satisfy the conditions E
C
D
e
.X
C
Y/
I
XY
,and"
!,

a number of the final rotational states of the formed XY
C
ion, is still large enough

to take advantage of the diffusion model.

On the other hand, the dynamics of the AI for this situation can be studied in the

framework of the MQD, and from the direct comparison of the results it can directly

define the range of applicability of the diffusion model. It is of undoubted interest

because the final settlement of this model is much simpler. Thus, it is desirable to

reformulate the model so as to include the random motion over the states of the

closed channels in an ionization continuum.

1.4.4

Stochastic Approach to the Highly Excited Intermediate

Rydberg Complex

The term stochastization in the theory of complex systems is usually used in cases

in which time is an argument of a function of random variable that determines

the efficiency of process or phenomenon efficiency. The problem of the oscillator

strengths of transitions to high molecular Rydberg states is also related to one

of the fundamental problems of modern physics—“quantum chaos” (Cutzwiller

1990
; Bellissard
1991
; Knauf and Sinai
1997
;Stockmann
1999
). As is known, the

hydrogen atom in an external magnetic field displays level fluctuations similar to

those in complex atomic nuclei (Hasegawa
1988
). Randomization of the energy

spectrum can also be caused by interactions with buffer gas atoms (Golubkov et al.

2010
).

We now discuss the possible causes of the spectrum randomization of the isolated

highly excited Rydberg molecules, focusing on the conclusions of Lombardi and

Seligman (
1993
), arising from a semiclassical consideration. According to the

general theory the total wave function of the Rydberg molecule is represented as

(Golubkov and Ivanov
2001
)

ˇ
ˇ
‰
q
˛
D
G
j
q
i
:

(1.43)

Here
j
q
i
is the basic wave function of Rydberg configuration,
G
is Green's operator

defined in Eq.
1.13
,and
£
is the level-shift operator. It meets the equation similar