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[CARTE][B] Products of random matrices with applications to Schrödinger operators
P Bougerol - 2012 - books.google.com
CHAPTER I THE DETERMINISTIC SCHRODINGER OPERATOR 187 1. The difference
equation. Hyperbolic structures 187 2. Self adjointness of H. Spectral properties. 190 3 …
equation. Hyperbolic structures 187 2. Self adjointness of H. Spectral properties. 190 3 …
[CARTE][B] Trace ideals and their applications
B Simon - 2005 - books.google.com
From a review of the first edition: Beautifully written and well organized... indispensable for
those interested in certain areas of mathematical physics... for the expert and beginner alike …
those interested in certain areas of mathematical physics... for the expert and beginner alike …
[CARTE][B] Solvable models in quantum mechanics
S Albeverio, F Gesztesy, R Hoegh-Krohn, H Holden - 2012 - books.google.com
Next to the harmonic oscillator and the Coulomb potential the class of two-body models with
point interactions is the only one where complete solutions are available. All mathematical …
point interactions is the only one where complete solutions are available. All mathematical …
[CARTE][B] Schrödinger operators: With application to quantum mechanics and global geometry
A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling
the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it …
the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it …
Schrödinger semigroups
B Simon - Bulletin of the American Mathematical Society, 1982 - ams.org
Let H=-\L+ V be a general Schrödinger operator on R"(v~> 1), where A is the Laplace
differential operator and V is a potential function on which we assume minimal hypotheses …
differential operator and V is a potential function on which we assume minimal hypotheses …
[CARTE][B] Jacobi operators and completely integrable nonlinear lattices
G Teschl - 2000 - books.google.com
Introduces the spectral and inverse spectral theory of Jacobi operators and applications of
these theories to the Toda and Kac-van Moerbeke hierarchy. The author investigates the …
these theories to the Toda and Kac-van Moerbeke hierarchy. The author investigates the …
[CARTE][B] Substitution dynamical systems-spectral analysis
M Queffélec - 2010 - books.google.com
This volume mainly deals with the dynamics of finitely valued sequences, and more
specifically, of sequences generated by substitutions and automata. Those sequences …
specifically, of sequences generated by substitutions and automata. Those sequences …
Equilibrium measures and capacities in spectral theory
B Simon - arxiv preprint arxiv:0711.2700, 2007 - arxiv.org
This is a comprehensive review of the uses of potential theory in studying the spectral theory
of orthogonal polynomials. Much of the article focuses on the Stahl-Totik theory of regular …
of orthogonal polynomials. Much of the article focuses on the Stahl-Totik theory of regular …
Metal-insulator transition for the almost Mathieu operator
SY Jitomirskaya - Annals of Mathematics, 1999 - JSTOR
We prove that for Diophantine ω and almost every θ, the almost Mathieu operator,(H ω, λ, θ
Ψ)(n)= Ψ (n+ 1)+ Ψ (n-1)+ λ cos 2π (ω n+ θ) Ψ (n), exhibits localization for λ> 2 and purely …
Ψ)(n)= Ψ (n+ 1)+ Ψ (n-1)+ λ cos 2π (ω n+ θ) Ψ (n), exhibits localization for λ> 2 and purely …
The ten martini problem
A Avila, S Jitomirskaya - Annals of mathematics, 2009 - JSTOR
The Ten Martini Problem Page 1 Annals of Mathematics, 170 (2009), 303-342 The Ten
Martini Problem By Artur Avila and Svetlana Jitomirskaya Abstract We prove the conjecture (known …
Martini Problem By Artur Avila and Svetlana Jitomirskaya Abstract We prove the conjecture (known …