Schrödinger Operators, Spectral Analysis and Number Theory -

Schrödinger Operators, Spectral Analysis and Number Theory

In Memory of Erik Balslev
Buch | Hardcover
XXXII, 294 Seiten
2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-68489-1 (ISBN)
181,89 inkl. MwSt

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.


S. Albeverio and R. Weder, Introduction to the scientific contributions in the book.- S. Albeverio and I. Karabash, Asymptotics of random resonances generated by a point process of delta-interactions.- M. S. Ashbaugh, F. Gesztesy, L. Hermi, K. Kirsten, L. Littlejohn and H. Tossounian, Green's function and Euler's formula for zeta(2n).- P. Bérard and B. Helffer, On Courant's nodal domain property for linear combinations of eigenfunctions.- Part II: A. Boutet de Monvel and L. Zielinski,  Asymptotic behavior of large eigenvalues of the two-photon Rabi model.- J.-Michel Combes and P. Hislop, Some remarks on spectral averaging and the local density of states for random Schrödinger operators on L²( d).- R. Froese and I. Herbst, Resonances in the one dimensional Stark effect in the limit of small field.- P. Kurasov and J. Muller, On the spectral gap for networks of beams.- K. Nicholas Leibovic, Some notes in the context of binocular space perception.- T. Paul, Symbolic calculus for singular curve operators.- Y. N. Petridis and M. S. Risager, Higher order deformations of hyperbolic spectra.- S. K. Sekatskii, On the generalized Li's criterion equivalent to the Riemann hypothesis and its first applications.- M. Spreafico and A. Zaccagnini, Regularizing infinite products by the asymptotics of finite products.- R. Weder, Trace maps under weak regularity assumptions.


Erscheinungsdatum
Reihe/Serie Springer Proceedings in Mathematics & Statistics
Zusatzinfo XXXII, 294 p. 32 illus., 13 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 648 g
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte 46N30, 47B93, 81Q10, 81Q15, 81Q35, 81U24, 11F72 • asymptotics • deterministic Schrödinger operators • exponential polynomials • Green's Functions • hyperbolic spectra • infinite products • random Schrödinger operators • resonances in random systems • Riemann hypothesis • Space Perception • spectral theory
ISBN-10 3-030-68489-X / 303068489X
ISBN-13 978-3-030-68489-1 / 9783030684891
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Sieben ausgewählte Themenstellungen

von Hartmut Menzer; Ingo Althöfer

Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
64,95
unlock your imagination with the narrative of numbers

von Dave Kester; Mikaela Ashcroft

Buch | Softcover (2024)
Advantage Media Group (Verlag)
19,90
Seltsame Mathematik - Enigmatische Zahlen - Zahlenzauber

von Klaus Scharff

Buch | Softcover (2024)
BoD – Books on Demand (Verlag)
20,00