The level crossing problem in semi-classical analysis. II. The Hermitian case

Yves Colin de Verdière[1]

  • [1] Institut Fourier, 100 rue des Maths, 38402 Saint-Martin d'Hères (France)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 5, page 1423-1441
  • ISSN: 0373-0956

Abstract

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This paper is the second part of the paper ``The level crossing problem in semi-classical analysis I. The symmetric case''(Annales de l'Institut Fourier in honor of Frédéric Pham). We consider here the case where the dispersion matrix is complex Hermitian.

How to cite

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Colin de Verdière, Yves. "The level crossing problem in semi-classical analysis. II. The Hermitian case." Annales de l’institut Fourier 54.5 (2004): 1423-1441. <http://eudml.org/doc/116147>.

@article{ColindeVerdière2004,
abstract = {This paper is the second part of the paper ``The level crossing problem in semi-classical analysis I. The symmetric case''(Annales de l'Institut Fourier in honor of Frédéric Pham). We consider here the case where the dispersion matrix is complex Hermitian.},
affiliation = {Institut Fourier, 100 rue des Maths, 38402 Saint-Martin d'Hères (France)},
author = {Colin de Verdière, Yves},
journal = {Annales de l’institut Fourier},
keywords = {mode conversion; polarization; Born-Oppenheimer approximation; eigenvalues crossing; pseudo-differential system; semi-classical analysis; normal form; microlocal solutions; symplectic manifold},
language = {eng},
number = {5},
pages = {1423-1441},
publisher = {Association des Annales de l'Institut Fourier},
title = {The level crossing problem in semi-classical analysis. II. The Hermitian case},
url = {http://eudml.org/doc/116147},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Colin de Verdière, Yves
TI - The level crossing problem in semi-classical analysis. II. The Hermitian case
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 5
SP - 1423
EP - 1441
AB - This paper is the second part of the paper ``The level crossing problem in semi-classical analysis I. The symmetric case''(Annales de l'Institut Fourier in honor of Frédéric Pham). We consider here the case where the dispersion matrix is complex Hermitian.
LA - eng
KW - mode conversion; polarization; Born-Oppenheimer approximation; eigenvalues crossing; pseudo-differential system; semi-classical analysis; normal form; microlocal solutions; symplectic manifold
UR - http://eudml.org/doc/116147
ER -

References

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