scientific article; zbMATH DE number 219508

zbMath0813.47006MaRDI QIDQ4695537

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Publication date: 29 June 1993

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1993__58_1_55_0

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zbMATH Keywords

Schrödinger operatortrace operatorinequality for the spectral shift function

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (15)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ Bounds on the spectral shift function and the density of states ⋮ The Spectral Shift Function and the Witten Index ⋮ Spectral shift function, amazing and multifaceted ⋮ Coupling resonances and spectral properties of the product of resolvent and perturbation ⋮ The Birman-Schwinger principle on the essential spectrum ⋮ The spectral shift function for compactly supported perturbations of Schrödinger operators on large bounded domains ⋮ Spectral shift function in the large coupling constant limit ⋮ The spectral shift function and the invariance principle ⋮ Spectral shift function in strong magnetic fields ⋮ Unnamed Item ⋮ A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators ⋮ Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function ⋮ The \(\Xi\) operator and its relation to Krein's spectral shift function ⋮ The Wegner estimate and the integrated density of states for some random operators

Cites Work

• Absence of singular continuous spectrum for certain self-adjoint operators
• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• Topics in differential and integral equations and operator theory. Ed. by I. Gohberg. Transl. from the Russian by A. Iacob
• Une formule de traces pour l'opérateur de Schrödinger dans $\mathbb{R}^3$
• ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS
• Semi-classical bounds for resolvents of schrödinger operators and asymptotics for scattering phases
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