Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields

Yves Colin de Verdière[1]; Nabila Torki-Hamza[2]; Françoise Truc[1]

  • [1] Grenoble University, Institut Fourier, Unité mixte de recherche CNRS-UJF 5582, BP 74, 38402-Saint Martin d’Hères Cedex (France)
  • [2] Université de Carthage, Faculté des Sciences de Bizerte, Mathématiques et Applications (05/UR/15-02), 7021-Bizerte (Tunisie)

Annales de la faculté des sciences de Toulouse Mathématiques (2011)

  • Volume: 20, Issue: 3, page 599-611
  • ISSN: 0240-2963

Abstract

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We define the magnetic Schrödinger operator on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges. We discuss essential self-adjointness of this operator for graphs of bounded degree. The main result is a discrete version of a result of two authors of the present paper.

How to cite

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Colin de Verdière, Yves, Torki-Hamza, Nabila, and Truc, Françoise. "Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields." Annales de la faculté des sciences de Toulouse Mathématiques 20.3 (2011): 599-611. <http://eudml.org/doc/219819>.

@article{ColindeVerdière2011,
abstract = {We define the magnetic Schrödinger operator on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges. We discuss essential self-adjointness of this operator for graphs of bounded degree. The main result is a discrete version of a result of two authors of the present paper.},
affiliation = {Grenoble University, Institut Fourier, Unité mixte de recherche CNRS-UJF 5582, BP 74, 38402-Saint Martin d’Hères Cedex (France); Université de Carthage, Faculté des Sciences de Bizerte, Mathématiques et Applications (05/UR/15-02), 7021-Bizerte (Tunisie); Grenoble University, Institut Fourier, Unité mixte de recherche CNRS-UJF 5582, BP 74, 38402-Saint Martin d’Hères Cedex (France)},
author = {Colin de Verdière, Yves, Torki-Hamza, Nabila, Truc, Françoise},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {essential selfadjointness; graph; magnetic field},
language = {eng},
month = {7},
number = {3},
pages = {599-611},
publisher = {Université Paul Sabatier, Toulouse},
title = {Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields},
url = {http://eudml.org/doc/219819},
volume = {20},
year = {2011},
}

TY - JOUR
AU - Colin de Verdière, Yves
AU - Torki-Hamza, Nabila
AU - Truc, Françoise
TI - Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2011/7//
PB - Université Paul Sabatier, Toulouse
VL - 20
IS - 3
SP - 599
EP - 611
AB - We define the magnetic Schrödinger operator on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges. We discuss essential self-adjointness of this operator for graphs of bounded degree. The main result is a discrete version of a result of two authors of the present paper.
LA - eng
KW - essential selfadjointness; graph; magnetic field
UR - http://eudml.org/doc/219819
ER -

References

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