Levinson’s Theorem: An Index Theorem in Scattering Theory
From MaRDI portal
Publication:4555532
DOI10.1007/978-3-319-29992-1_9OpenAlexW3049395828MaRDI QIDQ4555532
No author found.
Publication date: 20 November 2018
Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.08602
(2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40) Index theory (19K56)
Related Items (7)
Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example ⋮ Discrete Laplacian in a half‐space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators ⋮ Scattering operator and wave operators for 2D Schrödinger operators with threshold obstructions ⋮ Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line ⋮ Explicit formula for Schrödinger wave operators on the half-line for potentials up to optimal decay ⋮ Stationary scattering theory for unitary operators with an application to quantum walks ⋮ Schrödinger wave operators on the discrete half-line
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New expressions for the wave operators of Schrödinger operators in \(\mathbb R^3\)
- On the wave operators for the Friedrichs-Faddeev model
- Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields
- Elliptic pseudo-differential operators - an abstract theory
- The Aharonov-Bohm effect and scattering theory
- New formulae for the wave operators for a rank one interaction
- A stationary proof of Lavine's formula for time-delay
- Inverse scattering theory for perturbations of rank one
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Time-delay in potential scattering theory. Some geometric results
- Notes on infinite determinants of Hilbert space operators
- The determinant of the scattering matrix and its relation to the number of eigenvalues
- A remark on \(L^{p}\) -boundedness of wave operators for two dimensional Schrödinger operators
- Boundary maps for \(C^*\)-crossed products with \(\mathbb R\) with an application to the quantum Hall effect
- A weighted dispersive estimate for Schrödinger operators in dimension two
- \(L^p\)-boundedness of wave operators for two-dimensional Schrödinger operators
- Explicit formulas for the Schrödinger wave operators in \(\mathbb R^2\)
- Gap labelling and the pressure on the boundary
- Dispersive estimates for Schrödinger operators in dimension two
- Hermitian symplectic geometry and extension theory
- Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy
- ON THE WAVE OPERATORS AND LEVINSON'S THEOREM FOR POTENTIAL SCATTERING IN ℝ3
- SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV–BOHM OPERATORS
- Asymptotics Near ±m of the Spectral Shift Function for Dirac Operators with Non-Constant Magnetic Fields
- Significance of Electromagnetic Potentials in the Quantum Theory
- Levinson's theorem for Schrödinger operators with point interaction: a topological approach
- The Levinson theorem
- On the structure of the wave operators in one dimensional potential scattering
- EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT
- SCATTERING THEORY FOR LATTICE OPERATORS IN DIMENSION d ≥ 3
- One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results
- Levinson's theorem and higher degree traces for Aharonov-Bohm operators
- SINGULAR INTEGRAL OPERATORS ON A HALF-LINE
- Traces and determinants of linear operators
This page was built for publication: Levinson’s Theorem: An Index Theorem in Scattering Theory
