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Dimensional and Model Approximations
Various Types of Perturbation Theory
The Quasiclassical Approximation
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analytic continuation analytic properties asymptotic form asymptotic series atomic electrons atomic units boundary conditions branch point bremsstrahlung calculate charge exchange collision Consequently consider coordinate corresponding Coulomb potential decreasing deformation dipole eigenfunctions elec electromagnetic field emission energy levels equal excitation exponentially small expression Fermi formula Fourier components frequency given Hamiltonian Hence hydrogen atom impact parameter incident particle integral integrand interaction ionization potential ip'r Lamb shift Let us estimate Let us find matrix element molecule motion nucleons nucleus number of nodes order of magnitude oscillator perturbation theory photoeffect photon physical quantities probability of ionization quantum electrodynamics quantum mechanical quantum number quasiclassical approximation quasiclassical solution radial radius real axis region scattering amplitude scattering angle scattering cross section SchrOdinger's equation Section 3.1 shells singularity slow subsystem term tion transition trons upper half-plane vector velocity wave function zero zero-point vibrations