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Discrete representation of the spectral shift function and the multichannelS-matrix

✍ Scribed by V. I. Kukulin; V. N. Pomerantsev; O. A. Rubtsova


Book ID
110169219
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
191 KB
Volume
90
Category
Article
ISSN
0021-3640

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The new representation formula for the spectral shift function due to F. Gesztesy and K. A. Makarov is considered. This formula is extended to the case of relatively trace class perturbations. The proof is based on the analysis of a certain new unitary invariant for a pair of self-adjoint operators.

Weak asymptotics of the spectral shift f
✍ Vincent Bruneau; Mouez Dimassi πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 194 KB

## Abstract We consider the three‐dimensional SchrΓΆdinger operator with constant magnetic field of strength __b__ > 0, and with smooth electric potential. The weak asymptotics of the spectral shift function with respect to __b__ β†— +∞ is studied. First, we fix the distance to the Landau levels, then