A generalized correspondence principle and proton-hydrogen collisions

摘要: The Monte Carlo method is used to obtain total classical cross sections for ionization and charge transfer of hydrogen atoms in any level n by protons the energy range 38/n2 kev 218/n2 laboratory frame. have normal statistical errors about ±10% ±9% or more transfer. For = 1 section agrees with experiment within 10 15 per cent over entire energies, showing that agreement between earlier theories not simply result further dynamical approximations. somewhat higher than experiment. A generalized correspondence principle derived which states that, a non-relativistic quantal system charged particles, classically scale-invariant quantities tend their values when linear dimensions infinity other are also scaled. above thus correct limit -> [infinity]. Validity application results discussed.