On the Mössbauer studies of harmonically bound quantum oscillators in Brownian motion
Bhabha Atomic Reseach Centre, Nuclear Research Laboratory, Trombay, Bombay 400 085,
Revised: 2 September 1998
Published online: 15 March 1999
In many biological systems like whole cells, membranes or proteins and some of the polymeric systems, dynamics reveals itself in Mössbauer spectra as a non Lorentzian behaviour above some particular temperature which is characteristic of the system. Moreover mean square displacement and line width show temperature dependence above the characteristic temperature. Brownian motion of harmonically bound oscillator has been able to explain the non-Lorentzian behaviour. In the present paper, a quantum picture of the above model is discussed and lineshape is expressed as the closed form for the extreme overdamping case. In addition to the non-Lorentzian behaviour, the present model also predicts a temperature dependence of mean square displacement and linewidth.
PACS: 87.10.+e – General, theoretical, and mathematical biophysics (including logic of biosystems, quantum biology, and relevant aspects of thermodynamics, information theory, cybernetics, and bionics) / 76.20.+q – General theory of resonances and relaxations / 76.80.+y – Mössbauer effect; other-ray spectroscopy
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999