On the absolutely continuous spectrum of Stark Hamiltonians
DOI10.1063/1.1287922zbMath0972.81036OpenAlexW2032011900MaRDI QIDQ2731813
Publication date: 30 July 2001
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1287922
electric fieldabsolutely continuous spectrumStark operatorStark Hamiltoniandense point spectrasmooth potentials with bounded partial derivatives
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (2)
Cites Work
- Schrödinger operators with an electric field and random or deterministic potentials
- Spectral and scattering theory of Schrödinger operators related to the Stark effect
- Propagation theorems for some classes of pseudo-differential operators
- Extended states in the Anderson model on the Bethe lattice
- Spreading of wave packets in the Anderson model on the Bethe lattice
- Point spectrum on a continuous spectrum for weakly perturbed Stark type operators
- Absolute continuity of the essential spectrum of - \(d^2\over dt^2\) + \(q\)(\(t\)) without monotony of q
- STARK HAMILTONIAN WITH UNBOUNDED RANDOM POTENTIALS
- Absolutely continuous spectrum of perturbed Stark operators
- LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
- The absence of the absolutely continuous spectrum for δ ′ Wannier–Stark ladders
- Some Schrödinger operators with dense point spectrum
- On the virial theorem in quantum mechanics
This page was built for publication: On the absolutely continuous spectrum of Stark Hamiltonians
