Scattering of phonons by quantum-dislocation segments in an elastic continuum

  title={Scattering of phonons by quantum-dislocation segments in an elastic continuum},
  author={Fernando Lund and Bruno Scheihing Hitschfeld},
  journal={Physical Review B},
A canonical quantization procedure is applied to elastic waves interacting with pinned dislocation segments via the Peach-Koehler force. The interaction Hamiltonian, derived from an action principle that classically generates the Peach-Koehler force, is a power series of creation and annihilation operators. The leading term is quadratic, and keeping only this term the observable quantities of scattering processes are computed to all orders in perturbation theory. The resulting theory is… 

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