Unitary equivalence and scattering theory for Stark-like Hamiltonians

DOI10.1063/1.526212zbMath0564.35087OpenAlexW1982871084MaRDI QIDQ3678104

Matania Ben-Artzi

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526212

zbMATH Keywords

wave operatorsunitary equivalenceStark effectshort rangeStark-like Hamiltonians

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Théorie spectrale de la progagation des ondes acoustiques dans un milieu stratifié perturbé. (Spectral analysis of the propagation of acoustic waves in a perturbed stratified medium), Smooth Spectral Calculus, Schrödinger-like operators and the eikonal equation, Scattering for the Schrödinger equation with a repulsive potential, Divergence-type Operators: Spectral Theory and Spacetime Estimates, Scattering theory for the Schrödinger equation with repulsive potential, EIGENFUNCTION EXPANSIONS AND SPACETIME ESTIMATES FOR GENERATORS IN DIVERGENCE-FORM, Regularity and decay of solutions to the Stark evolution equation, Limiting absorption principle for some Schrödinger operators with exploding potentials. I, Spectral Theory for Magnetic Schrödinger Operators in Exterior Domains with Exploding and Oscillating Long-Range Potentials, Resolvent estimates for a sum of tensor products with applications to the spectral theory of differential operators

Cites Work

• Unitary equivalence of Stark Hamiltonians
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Phase space analysis of simple scattering systems: extensions of some work of Enss
• Ein gewöhnlicher Differentialoperator zweiter Ordnung für Funktionen mit Werten in einem Hilbertraum
• The abstract theory of scattering