This ebook has developed from lectures dedicated to functions of the Wentzel - Kramers – Brillouin- (WKB or quasi-classical) approximation and of the tactic of 1/N -expansion for fixing quite a few difficulties in atomic  and nuclear physics. The motive of this ebook is to aid scholars and investigators during this box to increase their wisdom of those very important calculation tools in quantum mechanics. a lot fabric is contained herein that's not to be stumbled on in different places. WKB approximation, whereas constituting a primary zone in atomic physics, has now not been the focal point of many books. a singular technique has been followed for the presentation of the subject material, the cloth is gifted as a succession of difficulties, via a close manner of fixing them. The equipment brought are then used to calculate Rydberg states in atomic structures and to guage capability obstacles and quasistationary states. eventually, adiabatic transition and ionization of quantum structures are lined.

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