Abstract
For a large class of scattering systems we study the behavior of the determinant of the scattering matrix as a function on the spectrum of the unperturbed operator. The variation of this determinant is related to the number of eigenvalues due to the perturbation. This relation generalizes results of Levinson and others. The range of physical systems to which these results apply is thus considerably extended.
| Original language | English |
|---|---|
| Pages (from-to) | 114-134 |
| Number of pages | 21 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 64 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jun 1978 |
| Externally published | Yes |