On the Constructively Determination the Spectral Invariants of the Periodic Multidimensional Schrödinger Operator (original) (raw)

2001

An Algorithm for Finding the Periodic Potential of the Three-dimensional Schrodinger Operator from the Spectral Invariants

2009

On a Class of Non-self-adjoint Multidimensional Periodic Schrodinger Operators

TURKISH JOURNAL OF MATHEMATICS

Perturbation Theory for the Multidimensional Schrodinger Operator with a Periodic Potential

2005

On the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential

International Journal of Geometric Methods in Modern Physics

Spectral Theory for Periodic Schrödinger Operators with Reflection Symmetries

Thomas Hoffmann-Ostenhof

2003

Perturbation theory for the periodic multidimensional Schrödinger operator and the Bethe-Sommerfeld conjecture

2007

On the nature of the spectrum of the quasi-periodic Schrödinger operator

Raffaella Pavani

Nonlinear Analysis: Real World Applications, 2002

Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential

Journal of Mathematical Physics

Spectral properties of a limit-periodic Schr\"odinger operator in dimension two

arXiv (Cornell University), 2010

On the Schrödinger operator with a periodic PT-symmetric matrix potential

Journal of Mathematical Physics

Fourier Method for One-dimensional Schrödinger Operators with Singular Periodic Potentials

Boris Mityagin

Topics in Operator Theory, 2010

Schr\"odinger operators periodic in octants

Evgeny Korotyaev

arXiv (Cornell University), 2017

Mathematical physics. — A criterion for the reality of the spectrum of PT -symmetric Schrödinger operators with complex-valued periodic potentials, by EMANUELA CALI

E. Caliceti

2008

Extended States for the Schrödinger Operator with Quasi-periodic Potential in Dimension Two

Memoirs of the American Mathematical Society, 2019

On the bands of the Schrödinger operator with a matrix potential

Mathematische Nachrichten

Spectral properties of polyharmonic operators with limit-periodic potential in dimension two

Journal d'Analyse Mathématique, 2007

A criterion for the reality of the spectrum of PT-symmetric Schrödinger operators with complex-valued periodic potentials

E. Caliceti, S. Graffi

Rendiconti Lincei - Matematica e Applicazioni, 2000

Analysis of periodic Schrödinger operators: Regularity and approximation of eigenfunctions

Victor Nistor

Journal of Mathematical Physics, 2008

On the Polyharmonic Operator with a Periodic Potential

arXiv: Mathematical Physics, 2005

An algorithm for finding the periodic potential of the three-dimensional Schrödinger operator from spectral invariants

Journal of Physics A: Mathematical and Theoretical, 2011

Asymptotic Analysis of the Periodic Schrodinger Operator

arXiv: Mathematical Physics, 2005

Schr "odinger operator with a junction of two 1-dimensional periodic potentials

Evgeny Korotyaev

Asymptotic Analysis, 2005

On the spectrum of Schrödinger operators with quasi-periodic algebro-geometric KDV potentials

Fritz Gesztesy

Journal d'Analyse Mathématique, 2005

The Spectrum of the Hamiltonian with a PT-symmetric Periodic Optical Potential

International Journal of Geometric Methods in Modern Physics

The Lyapunov function for Schrödinger operators with a periodic matrix potential

Evgeny Korotyaev

Journal of Functional Analysis, 2006

Perturbation Theory for the Schrödinger Operator with a Periodic Potential

Lecture Notes in Mathematics, 1997

A note on the invariant periodic potential

Rajkumar Roychoudhury

Physics Letters A, 2010

Periodic Schrödinger Operators with Local Defects and Spectral Pollution

Virginie Ehrlacher

SIAM Journal on Numerical Analysis, 2012

On the spectrum of Schr�dinger operators with quasi-periodic algebro-geometric KDV potentials

Fritz Gesztesy

J Anal Math, 2005

Periodic Schrödinger operator with local defects and spectral pollution

Virginie Ehrlacher

2016

Multidimensional Almost-Periodic Schrödinger Operators with Cantor Spectrum

Anton Gorodetski

Annales Henri Poincaré, 2019

Spectral properties of a limit-periodic Schr

2010

The numerical spectrum of a one-dimensional Schrödinger operator with two competing periodic potentials

Laurent Gosse

Communications in Mathematical Sciences, 2007