Approximate solutions of the density matrix equation for a local average field
โ Scribed by N.H. March; W.H. Young
- Publisher
- Elsevier Science
- Year
- 1959
- Weight
- 164 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0029-5582
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We consider the Sylvester equation __AX__โ__XB__+__C__=0 where the matrix __C__โโ^__n__ร__m__^ is of low rank and the spectra of __A__โโ^__n__ร__n__^ and __B__โโ^__m__ร__m__^ are separated by a line. We prove that the singular values of the solution X decay exponentially, that means for
The Liouville equation is studied in the domain of validity of linear response theory. The approach is to assume a functional form for the N-body distribution which fits classes of initial distributions exactly. This determines all time-dependent, reduced distribution functions. In the first approxi