Volume 60, Number 6, December 2002
|Page(s)||868 - 874|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 December 2002|
Persistent frequency shifts in the dynamic structure factor of the quantum harmonic oscillator
Interfaculty Reactor Institute, TUDelft
Mekelweg 15, 2629 JB, Delft, The Netherlands
2 Department of Physics, University of Missouri - Columbia, MO 65211, USA
Corresponding author: email@example.com
Accepted: 2 October 2002
The dynamic structure factor of the three-dimensional quantum harmonic oscillator has been known exactly as a function of momentum transfer , energy transfer and temperature T for a very long time. One aspect of the exact solution has not been explicitly discussed so far: for large Q the maximum in is located at a frequency , which is persistently lower than the commonly expected recoil frequency even for and increasingly so for lower T. We present a new consistent zeroth-order estimate for the frequency shifts (with respect to ) as found in actual (neutron) scattering experiments on condensed matter at large Q.
PACS: 61.12.-q – Neutron diffraction and scattering / 61.12.Bt – Theories of diffraction and scattering
© EDP Sciences, 2002
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