Operator Methods in Mathematical Physics, 1st Edition

  • Published By:
  • ISBN-10: 3034805314
  • ISBN-13: 9783034805315
  • DDC: 515.352
  • Grade Level Range: College Freshman - College Senior
  • 177 Pages | eBook
  • Original Copyright 2013 | Published/Released May 2014
  • This publication's content originally published in print form: 2013

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The conference Operator Theory, Analysis and Mathematical Physics – OTAMP is a regular biennial event devoted to mathematical problems on the border between analysis and mathematical physics. The current volume presents articles written by participants, mostly invited speakers, and is devoted to problems at the forefront of modern mathematical physics such as spectral properties of CMV matrices and inverse problems for the non-classical Schrödinger equation. Other contributions deal with equations from mathematical physics and study their properties using methods of spectral analysis. The volume explores several new directions of research and may serve as a source of new ideas and problems for all scientists interested in modern mathematical physics.

Table of Contents

Front Cover.
Editorial Board.
Title Page.
Copyright Page.
1: Inverse Scattering for Non-classical Impedance Schrödinger Operators.
2: Finite and Infinite Gap Jacobi Matrices.
3: Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction.
4: Eigenfunction Expansions Associated with the One-dimensional Schrödinger Operator.
5: Spectral Minimal Partitions for a Thin Strip on a Cylinder or a Thin Annulus Like Domain with Neumann Condition.
6: Jacobi and CMV Matrices with Coefficients of Generalized Bounded Variation.
7: Order Convergence Ergodic Theorems in Rearrangement Invariant Spaces.
8: Local Approximation of Observables and Commutator Bounds.
9: The Spectra of Selfadjoint Extensions of Entire Operators with Deficiency Indices (1,1).
10: Asymptotics of Eigenvalues of an Energy Operator in a Problem of Quantum Physics.