Gap amplification: Saturn's rings and 1d conductors in magnetic fields

M. Ya Azbel; Per Bak; P. M. Chaikin

doi:10.1016/0375-9601(86)90166-0

Gap amplification: Saturn's rings and 1d conductors in magnetic fields

M. Ya Azbel, Per Bak, P. M. Chaikin

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Abstract

We investigate the spectrum arising from a sizeable but slowly varying potential (e.g. a cos(2sπx/λ)) and a weak but rapidly varying potential (e.g. v cos(2πx)). The spectrum includes branches of amplified gaps. This may explain experiments on quasi 1d conductors in magnetic fields, and also certain gaps in the rings of Saturn, supporting a conjecture by Avron and Simon.

Original language	English (US)
Pages (from-to)	92-96
Number of pages	5
Journal	Physics Letters A
Volume	117
Issue number	2
DOIs	https://doi.org/10.1016/0375-9601(86)90166-0
State	Published - Jul 28 1986

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General Physics and Astronomy

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title = "Gap amplification: Saturn's rings and 1d conductors in magnetic fields",

abstract = "We investigate the spectrum arising from a sizeable but slowly varying potential (e.g. a cos(2sπx/λ)) and a weak but rapidly varying potential (e.g. v cos(2πx)). The spectrum includes branches of amplified gaps. This may explain experiments on quasi 1d conductors in magnetic fields, and also certain gaps in the rings of Saturn, supporting a conjecture by Avron and Simon.",

author = "Azbel, {M. Ya} and Per Bak and Chaikin, {P. M.}",

note = "Funding Information: M.Ya. Azbel is greatly indebted to Y. Gefen for very stimulating discussions. This work was supported by Division of Materials Sciences, US Department of Energy under contract DE-AC02-76HC00016 and NSF DMR83-18060 and DMR83-18048.",

year = "1986",

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doi = "10.1016/0375-9601(86)90166-0",

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T2 - Saturn's rings and 1d conductors in magnetic fields

AU - Azbel, M. Ya

AU - Bak, Per

AU - Chaikin, P. M.

N1 - Funding Information: M.Ya. Azbel is greatly indebted to Y. Gefen for very stimulating discussions. This work was supported by Division of Materials Sciences, US Department of Energy under contract DE-AC02-76HC00016 and NSF DMR83-18060 and DMR83-18048.

PY - 1986/7/28

Y1 - 1986/7/28

N2 - We investigate the spectrum arising from a sizeable but slowly varying potential (e.g. a cos(2sπx/λ)) and a weak but rapidly varying potential (e.g. v cos(2πx)). The spectrum includes branches of amplified gaps. This may explain experiments on quasi 1d conductors in magnetic fields, and also certain gaps in the rings of Saturn, supporting a conjecture by Avron and Simon.

AB - We investigate the spectrum arising from a sizeable but slowly varying potential (e.g. a cos(2sπx/λ)) and a weak but rapidly varying potential (e.g. v cos(2πx)). The spectrum includes branches of amplified gaps. This may explain experiments on quasi 1d conductors in magnetic fields, and also certain gaps in the rings of Saturn, supporting a conjecture by Avron and Simon.

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Gap amplification: Saturn's rings and 1d conductors in magnetic fields

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