Eigenvalue asymptotics for the Schr�dinger operator with perturbed periodic potential

Georgi Raikov

Type: Article

Publication Date: 1992-12-01

Citations: 25

DOI: https://doi.org/10.1007/bf01231325

View Publication

Locations

Inventiones mathematicae - View

Similar Works

Action	Title	Year	Authors
+	Eigenvalues of the Perturbed Schroedinger Operator with a Periodic Potential	1968	Valery A. Zheludev
+	Perturbations of a one-dimensional Schr�dinger operator with limit-periodic potential	1986	L. A. Malozemov
+	Asymptotics of the spectrum of the Schrödinger operator perturbed by a rapidly oscillating periodic potential	2006	D. I. Borisov
+	Perturbation theory for Schrödinger operator with a periodic potential	1997	Yulia Karpeshina
+ PDF Chat	Perturbation properties of the spectrum of periodic Schrödinger operators	1987	М. Бурнат Jan Herczyński Bogdan Zawisza
+	Asymptotic of the density of states for the Schrödinger operator with periodic electric potential	1998	Bernard Helffer Abderemane Mohamed
+	Renormalization-group singular perturbation analysis for the one-dimensional Schroedinger operator with periodic potentials	2020	Daisuke Takahashi
+	Asymptotic perturbation theory for Schrödinger eigenvalue problems	2008	Walter Hunziker
+	The perturbatively stable spectrum of a periodic Schr�dinger operator	1990	Joel Feldman Horst Kn�rrer Eugene Trubowitz
+	Perturbatively unstable eigenvalues of a periodic Schrödinger operator	1991	Joel Feldman Horst Knörrer Eugene Trubowitz
+	Spectral theory of Schr�dinger operators with periodic complex-valued potentials	1988	L. А. Pastur Vadim Tkachenko
+	On the eigenvalues of the perturbed Schr�dinger operator with irrational magnetic flow	1994	Vladimir Manuilov
+	Asymptotics of solutions and spectra of perturbed periodic Hamiltonian systems	1987	Don Hinton J. K. Shaw
+	Inverse spectral problem for limit-periodic Schr�dinger operators	1985	V. A. Chulaevskiĭ
+	Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide	2011	С. А. Назаров
+ PDF Chat	Limit-periodic Schrödinger operators with uniformly localized eigenfunctions	2011	David Damanik Zheng Gan
+	On spectral properties of adiabatically perturbed Schroedinger operators with periodic potentials	1990	V. S. Buslaev
+	Expansion in the eigenfunctions of the schrödinger equation with a potential having a periodic asymptotic behavior	1990	O. Anoshchenko
+	Border-line eigenvalue asymptotics for the Schr�dinger operator with electromagnetic potential	1991	Georgi Raikov
+	Perturbations of the Spectrum of the Schroedinger Operator with a Complex Periodic Potential	1969	Valery A. Zheludev

Works That Cite This (24)

Action	Title	Year	Authors
+	On absence of embedded eigenvalues for Schrödinger operators with perturbed periodic potentials	1999	Peter Kuchment B. Vaĭnberg
+	Discrete Spectrum of Quantum Hall Effect Hamiltonians I. Monotone Edge Potential	2010	Vincent Bruneau Pablo Miranda Georgi Raikov
+ PDF Chat	Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators	2014	Nicolas Dombrowski Peter D. Hislop Éric Soccorsi
+	Eigenvalue Asymptotics in a Twisted Waveguide	2008	Philippe Briet Hynek Kovařík Georgi Raikov Éric Soccorsi
+ PDF Chat	Eigenvalue Asymptotics in a Twisted Waveguide	2009	Philippe Briet Hynek Kovařík Georgi Raikov Éric Soccorsi
+	Edge currents and eigenvalue estimates for magnetic barrier Schr\"odinger operators	2013	Nicolas Dombrowski Peter D. Hislop Éric Soccorsi
+	Discrete spectrum for Schrödinger operators with oscillating decaying potentials	2016	Georgi Raikov
+ PDF Chat	Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian	2017	Vincent Bruneau Pablo Miranda
+	On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current	2014	Vincent Bruneau Nicolas Popoff
+	An asymptotic formula for the number of eigenvalue branches of a divergence form operator A+λB in a spectral gap of A	1997	Svetlana Boyarchenko Sergei Levendorskiı̌

Works Cited by This (18)

Action	Title	Year	Authors
+	Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators	1987	M. M. Skriganov
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+	ASYMPTOTIC BEHAVIOR OF THE SPECTRUM OF INTEGRAL OPERATORS WITH A SINGULARITY ON THE DIAGONAL	1974	G. P. Kostometov
+	Asymptotic distribution of eigenvalues in a lacuna of the continuous spectrum of the perturbed Hill operator	1976	Leonid Zelenko
+	The discrete spectrum in the gaps of a second-order perturbed periodic operator	1991	M. Sh. Birman
+	On the existence of eigenvalues of the Schr�dinger operatorH??W in a gap of ?(H)	1986	Percy Deift Rainer Hempel
+	Asymptotic formulas with sharp remainder estimates for bound states of Schrödinger operators, II	1982	Hideo Tamura
+	Eigenvalue asymptotics for the södinger operator	1990	Georgi Raikov
+	Asymptotics of the discrete spectrum of a perturbed Hill operator	1987	S. V. Khryashchev
+	An asymptotic of the negative discrete spectrum of the Schr�dinger operator	1977	G. V. Rozenblyum