Operator Methods in Mathematical Physics

1. Front Matter

   Pages i-ix

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2. Inverse Scattering for Non-classical Impedance Schrödinger Operators

   • Sergio Albeverio, Rostyslav O. Hryniv, Yaroslav V. Mykytyuk, Peter A. Perry

   Pages 1-42

3. Finite and Infinite Gap Jacobi Matrices

   • Jacob S. Christiansen

   Pages 43-55

4. Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction

   • Rupert L. Frank, Christian Hainzl, Robert Seiringer, Jan Philip Solovej

   Pages 57-88

5. Eigenfunction Expansions Associated with the One-dimensional Schrödinger Operator

   • Daphne J. Gilbert

   Pages 89-105

6. Spectral Minimal Partitions for a Thin Strip on a Cylinder or a Thin Annulus like Domain with Neumann Condition

   • Bernard Helffer, Thomas Hoffmann-Ostenhof

   Pages 107-115

7. Jacobi and CMV Matrices with Coefficients of Generalized Bounded Variation

   • Milivoje Lukic

   Pages 117-121

8. Order Convergence Ergodic Theorems in Rearrangement Invariant Spaces

   • Mustafa Muratov, Julia Pashkova, Ben-Zion Rubshtein

   Pages 123-142

9. Local Approximation of Observables and Commutator Bounds

   • Bruno Nachtergaele, Volkher B. Scholz, Reinhard F. Werner

   Pages 143-149

10. The Spectra of Selfadjoint Extensions of Entire Operators with Deficiency Indices (1,1)

    • Luis O. Silva, Julio H. Toloza

    Pages 151-164

11. Asymptotics of Eigenvalues of an Energy Operator in a Problem of Quantum Physics

    • Eduard A. Yanovich

    Pages 165-177

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.

• Schrödinger operators
• Spectral theory
• equations of mathematical physics
• extension theory
• ordinary differential equations
• partial differential equations

• , Institute of Mathematics, Polish Academy of Sciences, Kraków, Poland

  Jan Janas

• , Department of Mathematics, Stockholm University, Stockholm, Sweden

  Pavel Kurasov

• , Department of Mathematics, Imperial College London, London, United Kingdom

  Ari Laptev

• , Department of Mathematical Physics, St. Petersburg University, St. Petersburg, Russia

  Sergei Naboko

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