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[ספר][B] Random operators
M Aizenman, S Warzel - 2015 - books.google.com
This book provides an introduction to the mathematical theory of disorder effects on quantum
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …
An invitation to random Schrödinger operators
W Kirsch - arxiv preprint arxiv:0709.3707, 2007 - arxiv.org
This review is an extended version of my mini course at the Etats de la recherche:
Operateurs de Schroedinger aleatoires at the Universite Paris 13 in June 2002, a summer …
Operateurs de Schroedinger aleatoires at the Universite Paris 13 in June 2002, a summer …
[ספר][B] Caught by disorder: bound states in random media
P Stollmann - 2012 - books.google.com
Disorder is one of the predominant topics in science today. The present text is devoted to the
mathematical studyofsome particular cases ofdisordered systems. It deals with waves in …
mathematical studyofsome particular cases ofdisordered systems. It deals with waves in …
Localization for random perturbations of periodic Schrödinger operators
W Kirsch, P Stollmann, G Stolz - 1998 - degruyter.com
We prove localization for Anderson-type random perturbations of periodic Schr dinger
operators on R near the band edges. General, possibly unbounded, single site potentials of …
operators on R near the band edges. General, possibly unbounded, single site potentials of …
Spectral properties of the Cauchy process on half‐line and interval
We study the spectral properties of the transition semigroup of the killed one‐dimensional
Cauchy process on the half‐line (0,∞) and the interval (− 1, 1). This process is related to the …
Cauchy process on the half‐line (0,∞) and the interval (− 1, 1). This process is related to the …
Spectral analysis of subordinate Brownian motions in half-line
We study one-dimensional Levy processes with Levy-Khintchine exponent psi (xi^ 2), where
psi is a complete Bernstein function. These processes are subordinate Brownian motions …
psi is a complete Bernstein function. These processes are subordinate Brownian motions …
Anderson localization for a multi-particle quantum graph
We study a multi-particle quantum graph with random potential. Taking the approach of
multiscale analysis, we prove exponential and strong dynamical localization of any order in …
multiscale analysis, we prove exponential and strong dynamical localization of any order in …
[PDF][PDF] On the L p-spectrum of Schrödinger operators
R Hempel, J Voigt - J. Math. Anal. Appl, 1987 - mat.univie.ac.at
The spectrum of Schrödinger operators in Lp(Rd) and C0(Rd) Page 1 ESI The Erwin Schrödinger
International Boltzmanngasse 9 Institute for Mathematical Physics A-1090 Wien, Austria The …
International Boltzmanngasse 9 Institute for Mathematical Physics A-1090 Wien, Austria The …
Anderson localization for radial tree-like random quantum graphs
We prove that certain random models associated with radial, tree-like, rooted quantum
graphs exhibit Anderson localization at all energies. The two main examples are the random …
graphs exhibit Anderson localization at all energies. The two main examples are the random …
[PDF][PDF] Localization for random Schrödinger operators with Poisson potential
Localization at all energies is proved for the one-dimensional random Schrôdinger operator
with Poisson potential f (x-Xj (w)). The single site potential f is assumed to be non-negative …
with Poisson potential f (x-Xj (w)). The single site potential f is assumed to be non-negative …