Issue |
Europhys. Lett.
Volume 60, Number 6, December 2002
|
|
---|---|---|
Page(s) | 868 - 874 | |
Section | Condensed matter: structure, mechanical and thermal properties | |
DOI | https://doi.org/10.1209/epl/i2002-00298-x | |
Published online | 01 December 2002 |
Persistent frequency shifts in the dynamic structure factor of the quantum harmonic oscillator
1
Interfaculty Reactor Institute, TUDelft
Mekelweg 15, 2629 JB, Delft, The Netherlands
2
Department of Physics, University of Missouri -
Columbia, MO 65211, USA
Corresponding author: schimmel@iri.tudelft.nl
Received:
12
September
2001
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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