Translation representations and scattering by two intervals

DOI10.1063/1.4709770zbMath1275.81087arXiv1201.1447OpenAlexW2019380216MaRDI QIDQ2860762

Steen Pedersen, Feng Tian, Palle E. T. Jorgensen

Publication date: 20 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1447

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Hydro- and aero-acoustics (76Q05) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (4)

Momentum operators in the unit square ⋮ Restrictions and extensions of semibounded operators ⋮ On the spectra of momentum operators ⋮ Spectral theory of multiple intervals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Outer billiards and the pinwheel map
• Representation of simple symmetric operators with deficiency indices (1, 1) in de Branges space
• Orthogonal exponentials, translations, and Bohr completions
• From a 1D completed scattering and double slit diffraction to the quantum-classical problem for isolated systems
• Fourier frequencies in affine iterated function systems
• Intermediate spectral theory and quantum dynamics
• On the spectral characterization of entire operators with deficiency indices \((1,1)\)
• Spectral theory of commuting self-adjoint partial differential operators
• Self adjoint extensions satisfying the Weyl operator commutation relations
• Average boundary conditions in Cauchy problems
• Spectral pairs in Cartesian coordinates
• Über adjungierte Funktionaloperatoren
• A Beurling-Lax type theorem in the unit ball
• Commuting self-adjoint partial differential operators and a group theoretic problem
• Spectral representation of selfadjoint extensions of a symmetric operator
• On rings of operators. Reduction theory
• Fuglede’s conjecture for a union of two intervals
• The dynamics of one-dimensional Bloch electrons in constant electric fields
• Schrödinger semigroups
• Inverse scattering for discontinuous impedance Schrödinger operators: a model example
• Affine fractals as boundaries and their harmonic analysis
• Existence of the smallest selfadjoint extension
• Eigenfunctions, deficiency indices and spectra of odd-order differential operators
• A Uniqueness Theorem for the Heisenberg-Weyl Commutation Relations with Non-Selfadjoint Position Operator
• Weighted Dirac combs with pure point diffraction
• On the Connection between Phase Shifts and Scattering Potential
• Dynamical systems -- past and present

This page was built for publication: Translation representations and scattering by two intervals