000 | 02195cam0a2200409 4500 | ||
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001 | 16774 | ||
009 | 250886774 | ||
003 | http://www.sudoc.fr/250886774 | ||
005 | 20250630092634.0 | ||
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_a9782856299289 _bbr. _d35 EUR |
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073 | 1 | _a9782856299289 | |
090 | _a16774 | ||
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_tOUVR _zALEX33332 |
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100 | _a20201201h20202020k y0frey50 ba | ||
101 | 0 |
_aeng _deng _dfre _2639-2 |
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102 | _aFR | ||
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106 | _ar | ||
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_6z01 _ai# _bxxxe## |
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182 |
_6z01 _cn _2rdamedia |
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_6z01 _anga _2RDAfrCarrier |
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200 | 1 |
_aThe spectrum of a Schrödinger operator in a wire-like domain with a purely imaginary degenerate potential in the semiclassical limit _fY. Almog, B. Helffer |
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214 | 0 |
_aParis _cSociété mathématique de France _d2020 |
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215 |
_a1 vol. (vi-94 p.) _cill. _d24 cm |
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302 | _aRésumé en anglais et en français | ||
305 | _aN° de : "Mémoires de la Société mathématique de France", ISSN 0249-633X, (2020)n°166 | ||
320 | _aBibliogr. p. [91]-92 | ||
330 | _aConsider a two-dimensional domain shaped like a wire, not necessarily of uniform cross section. Let V denote an electric potential driven by a voltage drop between the conducting surfaces of the wire. We consider the operator Ah=−h2Δ+iV in the semi-classical limit h→0. We obtain both the asymptotic behavior of the left margin of the spectrum, as well as resolvent estimates on the left side of this margin. We extend here previous results obtained for potentials for which the set where the current (or ∇V) is normal to the boundary is discrete, in contrast with the present case where V is constant along the conducting surfaces. [source : 4e de couv.] | ||
461 |
_0039418073 _tMémoire de la Société mathématique de France _x0249-633X _v166 |
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606 |
_3027878457 _aSchrödinger, Opérateur de _2rameau |
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606 |
_3154299502 _aThéorie de Ginzburg-Landau _2rameau |
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686 |
_a35P15 _c2000 _2msc |
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686 |
_a82D55 _c2000 _2msc |
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700 | 1 |
_3250885980 _aAlmog _bYaniv _f19..-.... _cmathématicien _4070 |
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701 | 1 |
_3031772757 _aHelffer _bBernard _f1949-.... _4070 |