Lower bounds on width of Stark resonances in one dimension

DOI10.1007/BF00429999zbMath0782.34086MaRDI QIDQ1194350

Francis Ahia

Publication date: 27 September 1992

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

zbMATH Keywords

lower bounds on the width of Stark resonancesspectral deformation methodStark hamiltonian

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items

Lower bounds on the width of Stark-Wannier type resonances, Spectral concentration and perturbed discrete spectra, On the location of spectral concentration for perturbed discrete spectra

Cites Work

• Notes on Pólya's and Turán's hypotheses concerning Liouville's factor
• Sharp exponential bounds on resonances states and width of resonances
• The mathematical theory of resonances whose widths are exponentially small
• Dilation analyticity in constant electric field. II: N-body problem, Borel summability
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Stark effect in multielectron systems: Non-existence of bound states
• General lower bounds for resonances in one dimension
• Résonances en limite semi-classique
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