Exponential decay property for eigenfunctions of Landau-Stark Hamiltonian

DOI10.1016/S0034-4877(16)30009-XOpenAlexW2285571932MaRDI QIDQ1690110

Masaki Kawamoto

Publication date: 18 January 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(16)30009-x

zbMATH Keywords

constant electric fieldscrossed constant magneticLandau-Stark Hamiltoniansnonexistence of bound state

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items (3)

Wave equation for operators with discrete spectrum and irregular propagation speed ⋮ Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field ⋮ Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields

Cites Work

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• Avron-Herbst type formula in crossed constant magnetic and time-dependent electric fields
• On the exponential decay of magnetic Stark resonances
• Spectral and scattering theory for 3-particle Hamiltonian with Stark effect: Non-existence of bound states and resolvent estimate
• On the absence of positive eigenvalues for one-body Schrödinger operators
• Spectral analysis of \(N\)-body Stark Hamiltonians
• SPECTRAL SHIFT FUNCTION FOR OPERATORS WITH CROSSED MAGNETIC AND ELECTRIC FIELDS
• Resonance width in crossed electric and magnetic field

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