Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential

DOI10.1007/BF01231325zbMath0801.35095MaRDI QIDQ1209126

Georgi D. Raikov

Publication date: 16 May 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144043

zbMATH Keywords

asymptotic behaviour of the discrete spectrumboundary point of the essential spectrum

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)

Related Items

On absence of embedded eigenvalues for schrÖdinger operators with perturbed periodic potentials, Precise spectral asymptotics for perturbed magnetic Schrödinger operator, Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian, An asymptotic formula for the number of eigenvalue branches of a divergence form operator A+λB in a spectral gap of A, Discrete spectrum of quantum Hall effect Hamiltonians. I: Monotone edge potentials, Band functions in the presence of magnetic steps, Valeurs propres et résonances au voisinage d'un seuil, Eigenvalue Asymptotics in a Twisted Waveguide, On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current, Discrete spectrum for Schrödinger operators with oscillating decaying potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• On a theorem of Deift and Hempel
• Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• Asymptotic formulas with sharp remainder estimates for bound states of Schrödinger operators. I
• On the discrete spectrum of a perturbed periodic Schrödinger operator
• Asymptotic distribution of eigenvalues in a lacuna of the continuous spectrum of the perturbed Hill operator
• Theory of Bloch waves
• Eigenvalue asymptotics for the södinger operator
• On the asymptotic distribution of the eigenvalue branches of the Schrödinger operator HW in a spectral gap of H.