Quantum tunnelling, non-trapping and the existence of Stark ladder resonances

J. M. Combes; P. D. Hislop

doi:10.1088/0305-4470/23/9/014

Quantum tunnelling, non-trapping and the existence of Stark ladder resonances

J. M. Combes, P. D. Hislop

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The authors announce results which establish the existence of Stark-Wannier resonances in one-dimension in the semiclassical regime of small Planck's constant. They also obtain estimates on the width of these resonances, including dependence of the width on the electric field in certain cases. They discuss the proofs of these results which utilise many recently developed ideas concerning resonances in quantum mechanics.

Original language	English
Article number	014
Pages (from-to)	1501-1511
Number of pages	11
Journal	Journal of Physics A: Mathematical and General
Volume	23
Issue number	9
DOIs	https://doi.org/10.1088/0305-4470/23/9/014
State	Published - 1990

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/23/9/014

Cite this

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title = "Quantum tunnelling, non-trapping and the existence of Stark ladder resonances",

abstract = "The authors announce results which establish the existence of Stark-Wannier resonances in one-dimension in the semiclassical regime of small Planck's constant. They also obtain estimates on the width of these resonances, including dependence of the width on the electric field in certain cases. They discuss the proofs of these results which utilise many recently developed ideas concerning resonances in quantum mechanics.",

author = "Combes, {J. M.} and Hislop, {P. D.}",

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AU - Hislop, P. D.

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AB - The authors announce results which establish the existence of Stark-Wannier resonances in one-dimension in the semiclassical regime of small Planck's constant. They also obtain estimates on the width of these resonances, including dependence of the width on the electric field in certain cases. They discuss the proofs of these results which utilise many recently developed ideas concerning resonances in quantum mechanics.

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U2 - 10.1088/0305-4470/23/9/014

DO - 10.1088/0305-4470/23/9/014

M3 - Article

AN - SCOPUS:36149031021

SN - 0305-4470

VL - 23

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 9

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ER -

Quantum tunnelling, non-trapping and the existence of Stark ladder resonances

Abstract

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