Classical representation for hydrogen atom in s-states

  • Tasko P. Grozdanov
  • Evgeni A. Solov’ev
Regular Paper


A classical representation for hydrogen atom in bound s-states is developed. In this representation, the Schrödinger equation takes a form of balance equation with respect to some virtual exchange between classical states with energies \(\epsilon \) and \(\mu \) due to sub-barrier penetration. Possible application of the classical representation in the calculation of inelastic transitions in the collision of an electron with a hydrogen atom by the classical trajectory Monte Carlo method is discussed.


Classical-quantum correspondence Classical representation Abel transform Solvable problems 



This work was partly supported by Serbia-JINR collaboration program. T. P. G. acknowledges the support by the Ministry of Education, Science and Technological Development of the Republic of Serbia through the project No. 171020.


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Copyright information

© Chapman University 2019

Authors and Affiliations

  1. 1.Institute of PhysicsUniversity of BelgradeBelgradeSerbia
  2. 2.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaRussia

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