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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.
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 :
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
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