Quantum Effects in Small‐Angle Molecular‐Beam Scattering
作者： E. A. Mason , J. T. Vanderslice , C. J. G. Raw
DOI: 10.1063/1.1725488
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摘要: Quantum‐mechanical calculations of the differential cross section for small‐angle elastic scattering heavy particles are carried out to establish more definitely region validity classical approximation. Four results discussed: (1) The Massey—Mohr phase‐shift formula corresponds Kennard in semiclassical limit. (2) Schiff approximation is exactly same as at small angles, any central potential. (3) At very angles limit varies exp (—cθ2), where c a function velocity which explicit expressions given. (4) first quantum deviation from limit, proportional ℏ2, can be combined with preceding result give reasonable representation over entire range deviations appreciable. Detailed s...
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