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1 results

  • 15 - Scattering by a Potential

  • Rocco Schiavilla, Old Dominion University, Virginia
  • Book:
    Quantum Mechanics through Problems
    Published online:
    05 December 2024
    Print publication:
    12 December 2024, pp 516-581

  • Summary

    Derivation of the Born approximation and criteria for its validity; applications of the Born approximation to scattering in Coulomb and Yukawa potentials; derivation of the optical theorem; perturbative expansion of the scattering wave function and scattering amplitude; scattering in a hard-sphere potential at low and high energy; scattering in potential well and resonances; partial wave expansion of the integral equation for scattering in a central potential; scattering in a spin-dependent potential; phase shifts in Born approximation; effective range theory; phase shifts at high energy and the eikonal approximation for the scattering amplitude.