Ebook: Methods of Spectral Analysis in Mathematical Physics: Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2006, Lund, Sweden
- Tags: Operator Theory, Mathematical Methods in Physics
- Series: Operator Theory: Advances and Applications 186
- Year: 2009
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized during the conference: Spectral analysis of Schrödinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schrödinger operators; Quantum graphs.
The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized during the conference: Spectral analysis of Schr?dinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schr?dinger operators; Quantum graphs.
The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized during the conference: Spectral analysis of Schr?dinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schr?dinger operators; Quantum graphs.
Content:
Front Matter....Pages i-vii
Spectral Asymptotics of Percolation Hamiltonians on Amenable Cayley Graphs....Pages 1-29
On Inverse Problems for Finite Trees....Pages 31-48
Wave Operators for Nonlocal Sturm-Liouville Operators with Trivial Potential....Pages 49-68
Semiclassical Results for Ideal Fermion Systems. A Review....Pages 69-87
Quadratic Hamiltonians and Their Renormalization....Pages 89-102
Jacobi Matrices: Eigenvalues and Spectral Gaps....Pages 103-113
Eigenvalue Estimates for the Aharonov-Bohm Operator in a Domain....Pages 115-137
The Ablowitz-Ladik Hierarchy Revisited....Pages 139-190
On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants....Pages 191-215
Higher Derivatives of Spectral Functions Associated with One-Dimensional Schr?dinger Operators....Pages 217-228
On the Boundary Value Problem for p-parabolic Equations....Pages 229-239
On the Rank One Dissipative Operator and the Parseval Formula....Pages 241-256
On the Schr?dinger Operator with Limit-periodic Potential in Dimension Two....Pages 257-265
Similarity Problem for Non-self-adjoint Extensions of Symmetric Operators....Pages 267-283
Inverse Scattering Problem for a Special Class of Canonical Systems and Non-linear Fourier Integral. Part I: Asymptotics of Eigenfunctions....Pages 285-323
Remark on the Compensation of Singularities in Krein’s Formula....Pages 325-337
On Some Properties of Infinite-dimensional Elliptic Coordinates....Pages 339-346
Finite Difference Operators with a Finite-Band Spectrum....Pages 347-389
Connections Between Dynamical Systems and Crossed Products of Banach Algebras by ?....Pages 391-401
Born-Oppenheimer-type Approximations for Degenerate Potentials: Recent Results and a Survey on the Area....Pages 403-413
Back Matter....Pages 437-443
The Ornstein-Uhlenbeck Semigroup in Bounded and Exterior Lipschitz Domains....Pages 415-435
The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized during the conference: Spectral analysis of Schr?dinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schr?dinger operators; Quantum graphs.
Content:
Front Matter....Pages i-vii
Spectral Asymptotics of Percolation Hamiltonians on Amenable Cayley Graphs....Pages 1-29
On Inverse Problems for Finite Trees....Pages 31-48
Wave Operators for Nonlocal Sturm-Liouville Operators with Trivial Potential....Pages 49-68
Semiclassical Results for Ideal Fermion Systems. A Review....Pages 69-87
Quadratic Hamiltonians and Their Renormalization....Pages 89-102
Jacobi Matrices: Eigenvalues and Spectral Gaps....Pages 103-113
Eigenvalue Estimates for the Aharonov-Bohm Operator in a Domain....Pages 115-137
The Ablowitz-Ladik Hierarchy Revisited....Pages 139-190
On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants....Pages 191-215
Higher Derivatives of Spectral Functions Associated with One-Dimensional Schr?dinger Operators....Pages 217-228
On the Boundary Value Problem for p-parabolic Equations....Pages 229-239
On the Rank One Dissipative Operator and the Parseval Formula....Pages 241-256
On the Schr?dinger Operator with Limit-periodic Potential in Dimension Two....Pages 257-265
Similarity Problem for Non-self-adjoint Extensions of Symmetric Operators....Pages 267-283
Inverse Scattering Problem for a Special Class of Canonical Systems and Non-linear Fourier Integral. Part I: Asymptotics of Eigenfunctions....Pages 285-323
Remark on the Compensation of Singularities in Krein’s Formula....Pages 325-337
On Some Properties of Infinite-dimensional Elliptic Coordinates....Pages 339-346
Finite Difference Operators with a Finite-Band Spectrum....Pages 347-389
Connections Between Dynamical Systems and Crossed Products of Banach Algebras by ?....Pages 391-401
Born-Oppenheimer-type Approximations for Degenerate Potentials: Recent Results and a Survey on the Area....Pages 403-413
Back Matter....Pages 437-443
The Ornstein-Uhlenbeck Semigroup in Bounded and Exterior Lipschitz Domains....Pages 415-435
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