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  • Conference proceedings
  • © 2021

Schrödinger Operators, Spectral Analysis and Number Theory

In Memory of Erik Balslev

  • 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

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 348)

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Table of contents (14 papers)

  1. Front Matter

    Pages i-xxxii
  2. Introduction to the Scientific Contributions in the Book

    • Sergio Albeverio, Ricardo Weder
    Pages 1-6
  3. Green’s Functions and Euler’s Formula for \(\zeta (2n)\)

    • Mark S. Ashbaugh, Fritz Gesztesy, Lotfi Hermi, Klaus Kirsten, Lance Littlejohn, Hagop Tossounian
    Pages 27-45
  4. Asymptotic Behavior of Large Eigenvalues of the Two-Photon Rabi Model

    • Anne Boutet de Monvel, Lech Zielinski
    Pages 89-115
  5. On the Spectral Gap for Networks of Beams

    • Pavel Kurasov, Jacob Muller
    Pages 169-179
  6. Higher Order Deformations of Hyperbolic Spectra

    • Yiannis N. Petridis, Morten S. Risager
    Pages 223-239
  7. Regularising Infinite Products by the Asymptotics of Finite Products

    • Mauro Spreafico, Alessandro Zaccagnini
    Pages 255-269
  8. Trace Maps Under Weak Regularity Assumptions

    • Ricardo Weder
    Pages 271-294

About this book

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.



Editors and Affiliations

  • Institute for Applied Mathematics and Hausdorff Center for Mathematics, University of Bonn, Bonn, Germany

    Sergio Albeverio

  • Hoejbjerg, Denmark

    Anindita Balslev

  • Departamento de Física Matemática, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Mexico City, Mexico

    Ricardo Weder

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access