Evaluation of the Van Hove Correlation Functions for Certain Physical Systems

Evaluation of the Van Hove Correlation Functions for Certain Physical Systems

The space and time Fourier transforms of the Van Hove correlation function are evaluated for the cases of coherent scattering from simple crystals and, in a quantum hydrodynamics'' approximation, from liquid He II. A compact approximate expression for the one-phonon part of the crystal cor...

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Veröffentlicht in:Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, 1963-01, Vol.130 (2), p.827-832
1. Verfasser: De Bar, Roger B.
Format: Artikel
Sprache:eng
Schlagworte:
CORRELATION FUNCTION
CRYSTALS
ERRORS
FLUID FLOW
FOURIER ANALYSIS
HELIUM
LIQUIDS
MATHEMATICS
NEUTRONS
OSCILLATIONS
PHONONS
PHYSICS
QUANTUM MECHANICS
SCATTERING
SLOWDOWN
SOUND
STATISTICS
THERMAL RADIATION
VAN HOVE FUNCTION
VAN HOVE THEORY
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Zusammenfassung:The space and time Fourier transforms of the Van Hove correlation function are evaluated for the cases of coherent scattering from simple crystals and, in a quantum hydrodynamics'' approximation, from liquid He II. A compact approximate expression for the one-phonon part of the crystal correlation function transform is given, and the contribution of the two-phonon term is considered. A method of obtalning quantum-mechanical corrections to the classical expression for the Van Hove self-correlation function is discussed. (auth)
ISSN:0031-899X
DOI:10.1103/PhysRev.130.827