Classical approach in atomic physics
Abstract
The application of a classical approach to various quantum problems  the secular perturbation approach to quantization of a hydrogen atom in external fields and a helium atom, the adiabatic switching method for calculation of a semiclassical spectrum of a hydrogen atom in crossed electric and magnetic fields, a spontaneous decay of excited states of a hydrogen atom, Gutzwiller's approach to Stark problem, longlived excited states of a helium atom discovered with the help of Poincaré section, inelastic transitions in slow and fast electronatom and ionatom collisions  is reviewed. Further, a classical representation in quantum theory is discussed. In this representation the quantum states are treated as an ensemble of classical states. This approach opens the way to an accurate description of the initial and final states in classical trajectory Monte Carlo (CTMC) method and a purely classical explanation of tunneling phenomenon. The general aspects of the structure of the semiclassical series such as renormgroup symmetry, criterion of accuracy and so on are reviewed as well.
 Publication:

European Physical Journal D
 Pub Date:
 December 2011
 DOI:
 10.1140/epjd/e2011202616
 arXiv:
 arXiv:1003.4387
 Bibcode:
 2011EPJD...65..331S
 Keywords:

 Quantum Physics
 EPrint:
 This review paper was rejected from J.Phys.A with referee's comment "The author has made many worthwhile contributions to semiclassical physics, but this article does not meet the standard for a topical review".