Schrödinger Operators, Spectral Analysis and 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.
| ISBN: | 9783030684921 |
|---|---|
| Sprache: | Englisch |
| Seitenzahl: | 294 |
| Produktart: | Kartoniert / Broschiert |
| Herausgeber: | Albeverio, Sergio Balslev, Anindita Weder, Ricardo |
| Verlag: | Springer International Publishing |
| Veröffentlicht: | 05.06.2022 |
| Untertitel: | In Memory of Erik Balslev |
| Schlagworte: | 46N30, 47B93, 81Q10, 81Q15, 81Q35, 81U24, 11F72 Green's functions Riemann hypothesis deterministic Schrödinger operators exponential polynomials hyperbolic spectra random Schrödinger operators resonances in random systems space perception spectral theory |