Schrödinger Operators, Spectral Analysis and Number Theory
In Memory of Erik Balslev
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Beschreibung
This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory. The present book contains a number of contributions by specialists in these areas as an homage to the memory of the mathematician Erik Balslev and, at the same time, advancing a fascinating interdisciplinary area still full of potential.
Erik Balslev has made original and important contributions to several areas of Mathematics and its applications. He belongs to the founders of complex scaling, one of the most important methods in the mathematical and physical study of eigenvalues and resonances of Schrödinger operators, which has been very essential in advancing the solution of fundamental problems in Quantum Mechanics and related areas. He was also a pioneer in making available and developing spectral methods in the study of important problems in Analytic Number Theory.
This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory. The present book contains a number of contributions by specialists in these areas as an homage to the memory of the mathematician Erik Balslev and, at the same time, advancing a fascinating interdisciplinary area still full of potential.
Erik Balslev has made original and important contributions to several areas of Mathematics and its applications. He belongs to the founders of complex scaling, one of the most important methods in the mathematical and physical study of eigenvalues and resonances of Schrödinger operators, which has been very essential in advancing the solution of fundamental problems in Quantum Mechanics and related areas. He was also a pioneer in making available and developing spectral methods in the study of important problems in Analytic Number Theory.
Presents a comprehensive collection of texts related to the work of the late Erik Balslev, one of the leading mathematicians of our times with important contributions in mathematical physics Shines a light on the life and personality of the late Erik Balslev Highlights an interdisciplinary career with contributions in apparently unrelated areas like Quantum Mechanics and Number Theory
Autor*in
Sergio Albeverio
Themen in »Schrödinger Operators, Spectral Analysis and Number Theory«
46N30, 47B93, 81Q10, 81Q15, 81Q35, 81U24, 11F72 deterministic Schrödinger operators random Schrödinger operators Green's functions spectral theory resonances in random systems exponential polynomials space perception hyperbolic spectra Riemann hypothesis infinite products asymptotics