Spectral shift function of the schrödinger operator in the large coupling constant limit

DOI10.1080/03605300008821528zbMath0974.35103OpenAlexW2072398946MaRDI QIDQ4951903

Alexander Pushnitski

Publication date: 18 December 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821528

zbMATH Keywords

Schrödinger equationspectral shift

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (11)

Absence of reflection as a function of the coupling constant ⋮ Spectral distributions for long range perturbations ⋮ Bounds on the spectral shift function and the density of states ⋮ Absolutely continuous spectrum of a typical operator on a cylinder ⋮ Absolutely continuous spectrum of the Schrödinger operator with a potential representable as a sum of three functions with special properties ⋮ Spectral shift function in the large coupling constant limit ⋮ The spectral shift function and the invariance principle ⋮ Absolutely continuous spectrum of a one-parameter family of Schrödinger operators ⋮ Concavity of eigenvalue sums and the spectral shift function ⋮ The \(\Xi\) operator and its relation to Krein's spectral shift function ⋮ SPECTRAL SHIFT FUNCTION OF THE SCHRÖDINGER OPERATOR IN THE LARGE COUPLING CONSTANT LIMIT. II. POSITIVE PERTURBATIONS

Cites Work

• Trapping and cascading of eigenvalues in the large coupling limit
• Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• Schrödinger operators with magnetic fields. I: General interactions
• The discrete spectrum in the gaps of the continuous one for non-signdefinite perturbations with a large coupling constant
• Piecewise-polynomial approximation of functions from \(H^ \ell((0,1)^ d)\), \(2\ell=d\), and applications to the spectral theory of the Schrödinger operator
• Schrödinger semigroups
• Scattering for Schrödinger Operators with Magnetic Fields
• On the asymptotic distribution of the eigenvalue branches of the Schrödinger operator HW in a spectral gap of H.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral shift function of the schrödinger operator in the large coupling constant limit