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Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit

✍ Scribed by A.B. Pushnitski; M.V. Ruzhansky

Book ID
110393167
Publisher
Springer US
Year
2002
Tongue
English
Weight
98 KB
Volume
36
Category
Article
ISSN
0016-2663

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📜 SIMILAR VOLUMES

Spectral Shift Function in the Large Cou
Spectral Shift Function in the Large Coupling Constant Limit
✍ 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

C-spectrality of the Schrödinger operato
C-spectrality of the Schrödinger operator in Lp spaces
✍ R. deLaubenfels; H. Emamirad 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 193 KB

In [1], the notions of C-regularized functional calculus and C-regularized scalar operator are defined and their mutual relationship with temperate C-regularized groups is given. In this note, we apply these notions in two ways: first we consider the SchrSdinger operator in LP(f~) with Dirichlet bou