Sum rules and the symmetry of the memory function in spectral lineshape theories.

Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

10

Line Formation: Numerical Methods

Scientific paper

Starting from the well-known expression between the absorption coefficient and the spectral density F(ω), the Fourier transform of the dipole correlation function, the authors use a projection operator to average out the degrees of freedom of the bath variables. As a result, F(ω) can be written in terms of a memory function and effects due to initial correlations, all of which are confined to the line space of the absorber molecule. The initial correlations influence the form of the spectral density and are necessary in order to satisfy the principle of detailed balance. There is a relationship between the existence of sum rules and the symmetry of the memory function matrix and the latter depends on the projection operator introduced. In the present case, the matrix of the memory function is asymmetric and only one-sided sum rules are valid. The above conclusions remain true within the binary collision approximation that is applicable to low density gases. Finally, the authors discuss previously published two-sided sum rules that have been derived using a different projection operator and consequently a different memory function.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Sum rules and the symmetry of the memory function in spectral lineshape theories. does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sum rules and the symmetry of the memory function in spectral lineshape theories., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sum rules and the symmetry of the memory function in spectral lineshape theories. will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1864359

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.