Titlebook: Operator Theory, Analysis and Mathematical Physics; Jan Janas,Pavel Kurasov,Günter Stolz Conference proceedings 2007 Birkh?user Basel 2007

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lipoatrophy

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Uniform and Smooth Benzaid-Lutz Type Theorems and Applications to Jacobi Matrices, generalizations of the Benzaid-Lutz theorem (a Levinson type theorem for discrete linear systems) and are used to develop a technique for proving absence of accumulation points in the pure point spectrum of Jacobi matrices. The technique is illustrated by proving discreteness of the spectrum for a

GOUGE

An Example of Spectral Phase Transition Phenomenon in a Class of Jacobi Matrices with Periodically parameter space is decomposed into several separate regions, where the spectrum is either purely absolutely continuous or discrete. This constitutes an example of the spectral phase transition of the first order. We study the lines where the spectral phase transition occurs, obtaining the following

Nomadic

On Connection Between Factorizations of Weighted Schur Functions and Invariant Subspaces,Schur classes and so-called “conservative curved” systems introduced in the paper. In the unit disk case the fundamental relationship between invariant subspaces of the main operator of a conservative system and factorizations of the corresponding Schur class function (characteristic function) is we

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Ablation

Operator Theory, Analysis and Mathematical Physics978-3-7643-8135-6Series ISSN 0255-0156 Series E-ISSN 2296-4878

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A Mathematical Study of Quantum Revivals and Quantum Fidelity,mainly in the semiclassical framework. We also describe the exact properties of the quantum fidelity (also called Loschmidt echo) for the case of explicit quadratic plus inverse quadratic time-periodic Hamiltonians and establish that the quantum fidelity equals one for exactly the times where the classical fidelity is maximal.

HAVOC

On Relations Between Stable and Zeno Dynamics in a Leaky Graph Decay Model,and the stable one which governs time evolution of the dot states in the absence of the wire. We analyze the weak coupling case and argue that the two time evolutions can differ significantly only at times comparable with the lifetime of the unstable system undisturbed by perpetual measurement.