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Physik der kondensierten Materie

, Volume 14, Issue 4, pp 336–352 | Cite as

Neutron scattering from quantum crystals

  • H. Beck
  • P. F. Meier
Article

Abstract

The cross-section for neutron scattering from an arbitrarily anharmonic crystal is split up in the usual way into the Debye-Waller factor, the multiphonon background and the one-phonon peakS(1). The latter is shown to be built up by the expectation valueD of the displacement operator under the influence of a special mechanical force. The method of functional derivation applied to non-equilibrium Green's functions is used to find non-linear equations of motion forD. The renormalized force constants involved are also defined for singular interparticle potentials. The interference terms inS(1), which are expected to be important for a quantum crystal with large particle fluctuations, are related to the difference betweenD and its linear response value. Finally, the known sum-rules are derived in this formalism and prescriptions to determine the Debye-Waller factor fromD are given.

Keywords

Neural Network Complex System Nonlinear Dynamics Large Particle Force Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • H. Beck
    • 1
  • P. F. Meier
    • 1
  1. 1.Institut für Theoretische PhysikUniversität ZürichZürichSwitzerland

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