Existence of Stark ladder resonances

DOI10.1007/BF01212445zbMath0651.47006MaRDI QIDQ1106439

Jim Agler, Richard Froese

Publication date: 1985

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

zbMATH Keywords

eigenvaluesHamiltonianresonanceStark ladder

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items

Asymptotic completeness for a new class of Stark effect Hamiltonians, Imaginary parts of Stark–Wannier resonances, Asymptotics of resonances for 1D Stark operators, Lower bounds on the width of Stark-Wannier type resonances, Stark Wannier ladders, Stark ladder resonances for small electric fields, Stark resonances in disordered systems, Eigenvalue bounds for Stark operators with complex potentials, Wannier-Stark resonances in optical and semiconductor superlattices, Stark ladders of resonances: Wannier ladders and perturbation theory

Cites Work

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• Schrödinger operators with an electric field and random or deterministic potentials
• The Stark ladder and other one-dimensional external field problems
• Wave Functions and Effective Hamiltonian for Bloch Electrons in an Electric Field
• On the spectrum of p²+V(x)+ ϵx, with V periodic and ϵ complex