| 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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