A Computational Method for Quantum Dynamics of a Three-Dimensional Atom in Strong Fields
Conclusion
In this report we briefly reviewed a set of quantum problems solved with the nonperturbative approach developed for hydrogen-like atoms in strong external fields. The high efficiency and the flexibility of the method found in these computations, suggest the method development in application to other important problems of physics of “atoms and molecules in strong external fields”. A natural step in this direction is an extension of the approach to the scattering problem18 for a Coulomb particle in an external field ( i.e. an extension to continuum-continuum transitions ). Another problem, where the method may be fruitful, is a helium-like atom19 ( i.e. an extension to more complicated quantum systems).
Note also an interesting application of the approach to nonperturbative analysis of “dshaking-off“ reactions in muon physics1 and in other few-body problems. I am grateful to W. Schweizer and P. Schmelcher for fruitful suggestions and discussions which considerably stimulated the writing of the present report.
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