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Quantitative Description of OneDimensional
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According to Eq amplitude angular momentum antisymmetric arbitrary asymptotic forms barrier becomes boundary conditions calculation Cartesian coordinates center of mass classical classical mechanics collision components consider constant coordinate system corresponding cross section defined degenerate denoted determined diatomic molecule differential electron energy levels equal evaluate exponential expression Figure first-order flux given in Eq harmonic oscillator hydrogen incident particle incident wave integral in Eq integrand interaction linear combination Morse potential motion multiply nuclei obtained operator orbital orthogonal particle moving perturbation position potential problem procedure quantum mechanical quantum numbers region represents resonance result right side scattering center Schroedinger equation separation of variables shown in Fig side of Eq sin2 solution of Eq spherical polar coordinates spin stationary symmetric tensor time-dependent tion total wave function transmission coefficient trial function turning point variables vector velocity wave function wave packet width WKB approximation z-axis zero