Algebraic spectral gaps

Amaury Mouchet

ESAIM: Proceedings (2012)

  • Volume: 35, page 151-166
  • ISSN: 1270-900X

Abstract

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For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral gaps) may be obtained rather systematically with a method proposed by H. Giacomini and A. Mouchet in 2007. The present article provides some alternative formulation of this method, suggests some possible generalizations and extensively discusses the higher-dimensional case.

How to cite

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Mouchet, Amaury. Denis Poisson, Fédération, and Trélat, E., eds. " Algebraic spectral gaps ." ESAIM: Proceedings 35 (2012): 151-166. <http://eudml.org/doc/251214>.

@article{Mouchet2012,
abstract = {For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral gaps) may be obtained rather systematically with a method proposed by H. Giacomini and A. Mouchet in 2007. The present article provides some alternative formulation of this method, suggests some possible generalizations and extensively discusses the higher-dimensional case.},
author = {Mouchet, Amaury},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {151-166},
publisher = {EDP Sciences},
title = { Algebraic spectral gaps },
url = {http://eudml.org/doc/251214},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Mouchet, Amaury
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - Algebraic spectral gaps
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 151
EP - 166
AB - For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral gaps) may be obtained rather systematically with a method proposed by H. Giacomini and A. Mouchet in 2007. The present article provides some alternative formulation of this method, suggests some possible generalizations and extensively discusses the higher-dimensional case.
LA - eng
UR - http://eudml.org/doc/251214
ER -

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