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Spectral Shift Function in the Large Coupling Constant Limit

✍ Scribed by Mouez Dimassi


Publisher
Springer
Year
2006
Tongue
English
Weight
162 KB
Volume
7
Category
Article
ISSN
1424-0637

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Spectral Shift Function in the Large Cou
✍ O Safronov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Given two selfadjoint operators H 0 and V=V + &V & , we study the spectrum of the operator H(:)=H 0 +:V, :>0. We consider the quantity !(\*, H(:), H 0 ), \* # R, which coincides with Krein's spectral shift function of the pair H(:), H 0 if V is of trace class and study its asymptotic behavior as : Ä