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1 results

  • 18 - Time-Dependent Perturbation Theory

  • Rocco Schiavilla, Old Dominion University, Virginia
  • Book:
    Quantum Mechanics through Problems
    Published online:
    05 December 2024
    Print publication:
    12 December 2024, pp 669-725

  • Summary

    Equivalent derivations of time-dependent pertubation theory; Fermi golden rule; the Born approximation for scattering from Fermi golden rule; survival probability of a state in a time-independent perturbation; positronium in static and oscillating magnetic fields; hydrogen atom in a time-dependent electric field; a model for inelastic scattering of a projectile with a target; semiclassical treatment of the electromagnetic field; ionization of the hydrogen atom by an electromagnetic wave; cross sections for stimulated absorption and emission in hydrogen; spontaneous emission and selection rules with an application to the 2p to 1s transition in hydrogen; theory of the line width; formal scattering theory; S- and T-operators.