The method of Airy averaging and some useful applications (Q1976657)

The authors employ Airy averaging methods to quantum mechanics problems which involve Airy functions. They are used to verify orthonormality and completeness, properties important in the study of collision-induced dissociation processes. The new tool, ``Airy averaging'', is introduced in this work and is applied to a few concrete examples. The main contribution of this work is the application of these tools in modeling physical phenomena, such as producing a very smooth one-dimensional nanostructure of a semi-conducting system.