This volume contains lectures delivered by the participants of the international conference "Operator Theory, Analysis and Mathematical Physics" (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland on July 6-11, 2004. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics. The main topics are functional models of non-selfadjoint operators, spectral properties of Dirac and Jacobi matrices, Dirichlet-to-Neumann techniques, Lyapunov exponents methods, and inverse spectral problems for quantum graphs.…mehr
This volume contains lectures delivered by the participants of the international conference "Operator Theory, Analysis and Mathematical Physics" (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland on July 6-11, 2004. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics. The main topics are functional models of non-selfadjoint operators, spectral properties of Dirac and Jacobi matrices, Dirichlet-to-Neumann techniques, Lyapunov exponents methods, and inverse spectral problems for quantum graphs.
Artikelnr. des Verlages: 11925095, 978-3-7643-8134-9
2007
Seitenzahl: 268
Erscheinungstermin: 20. März 2007
Englisch
Abmessung: 250mm x 175mm x 21mm
Gewicht: 624g
ISBN-13: 9783764381349
ISBN-10: 3764381345
Artikelnr.: 21602427
Autorenporträt
Jan Janas, IMPAN, Warsaw, Poland / Pavel Kurasov, Lund Institute of Technology, Lund, Sweden / Ari Laptev, Royal Institute of Technology, Stockholm, Sweden / Serguei Naboko, St. Petersburg University, St. Petersburg, Russia / Gunter Stolz, University of Alabama at Birmingham, AL, USA
Inhaltsangabe
Finiteness of Eigenvalues of the Perturbed Dirac Operator.- A Mathematical Study of Quantum Revivals and Quantum Fidelity.- On Relations Between Stable and Zeno Dynamics in a Leaky Graph Decay Model.- On the Spectrum of Partially Periodic Operators.- Functional Model for Singular Perturbations of Non-self-adjoint Operators.- Trace Formulas for Jacobi Operators in Connection with Scattering Theory for Quasi-Periodic Background.- Dirichlet-to-Neumann Techniques for the Plasma-waves in a Slot-diod.- Inverse Spectral Problem for Quantum Graphs with Rationally Dependent Edges.- Functional Model of a Class of Non-selfadjoint Extensions of Symmetric Operators.- Lyapunov Exponents at Anomalies of SL(2, ?)-actions.- Uniform and Smooth Benzaid-Lutz Type Theorems and Applications to Jacobi Matrices.- An Example of Spectral Phase Transition Phenomenon in a Class of Jacobi Matrices with Periodically Modulated Weights.- On Connection Between Factorizations of Weighted Schur Functions and Invariant Subspaces.
Finiteness of Eigenvalues of the Perturbed Dirac Operator.- A Mathematical Study of Quantum Revivals and Quantum Fidelity.- On Relations Between Stable and Zeno Dynamics in a Leaky Graph Decay Model.- On the Spectrum of Partially Periodic Operators.- Functional Model for Singular Perturbations of Non-self-adjoint Operators.- Trace Formulas for Jacobi Operators in Connection with Scattering Theory for Quasi-Periodic Background.- Dirichlet-to-Neumann Techniques for the Plasma-waves in a Slot-diod.- Inverse Spectral Problem for Quantum Graphs with Rationally Dependent Edges.- Functional Model of a Class of Non-selfadjoint Extensions of Symmetric Operators.- Lyapunov Exponents at Anomalies of SL(2, ?)-actions.- Uniform and Smooth Benzaid-Lutz Type Theorems and Applications to Jacobi Matrices.- An Example of Spectral Phase Transition Phenomenon in a Class of Jacobi Matrices with Periodically Modulated Weights.- On Connection Between Factorizations of Weighted Schur Functions and Invariant Subspaces.
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