INTRODUCTION AU CHAOS CLASSIQUE ET AU CHAOS QUANTIQUE 51
(BJ89)
(BS02)
[CanOl)
[CM06)
(Cou12)
[Dav95)
[Dav07)
[Dol98)
[Fal03)
(Fau)
(FN04)
[FNDB03)
[FRS08)
(FSU)
(Fey63)
(GVZJ91)
(Gra03)
(GS94)
(GS77)
(GS90)
(GSU)
(Gut90)
[HS96]
B. H. BRANSDEN & C. J. JOACHAIN - Introduction to quantum mechanics,
Longman, 1989.
M. BRIN & G. STUCK - Introduction to dynamical systems, Cambridge University Press, Cambridge, 2002.
A. CANNAS DA SILVA - Lectures on symplectic geometry, Lecture Notes in
Mathematics, vol. 1764, Springer-Verlag, Berlin, 2001.
N. CHERNOV & R. MARKARIAN - Chaotic billiards, Mathematical Surveys
and Monographs, vol. 127, American Mathematical Society, Providence, RI,
2006.
Y. CouoÈNE - Théorie ergodique et systèmes dynamiques, Savoirs Actuels,
EDP Sciences, Les Ulis; CNRS Éditions, Paris, 2012.
E. B. DAVIES - Spectral theory and di.tferential operators, Cambridge Studies
in Advanced Mathematics, vol. 42, Cambridge University Press, Cambridge,
1995.
___ , Linear operators and their spectra, Cambridge Studies in Advanced
Mathematics, vol. 106, Cambridge University Press, Cambridge, 2007.
D. DOLGOPYAT - « On decay of correlations in Anosov flows », Ann. of Math.
(2) 147 {1998), no. 2, p. 357-390.
K. FALCONER- Fractal geometry. Mathematicalfoundations and applications,
John Wiley & Sons, lnc., Hoboken, NJ, 2003.
F. FAURE - «Films d'animations d'ondes quantiques», http://bit.ly/
1zuyexa.
F. FAURE & S. NONNENMACHER - «On the maximal scarring for quantum
cat map eigenstates », Comm. Math. Phys. 245 {2004), no. 1, p. 201-214.
F. FAURE, S. NONNENMACHER & S. DE BIÈVRE - « Scarred eigenstates for
quantum cat maps of minimal periods », Comm. Math. Phys. 239 {2003),
no. 3, p. 449-492.
F. FAURE, N. RoY & J. SJÔSTRAND - «A semiclassical approach for Anosov diffeomorphisms and Ruelle resonances », Open Math. Jou.mal 1 {2008),
p. 35-81, arXiv:0802.1780.
F. FAURE & J. SJÔSTRAND - «Upper bound on the density of Ruelle resonances for Anosov flows », Comm. Math. Phys. 308 {2011), no. 2, p. 325-364.
R. FEYNMAN - Le cours de physique de Feynman, Mécanique quantique, 1963.
M.-J. GIANNONI, A. VOROS & J. ZINN-JUSTIN {éds.) - Chaos et physique
quantique, North-Holland Publishing Co., Amsterdam, 1991.
A. GRANVILLE-« Nombres premiers et chaos quantique», Gazette des Mathématiciens, Soc. Math. France {2003), no. 97, p. 29-44.
A. GRIGIS & J. SJÔSTRAND - Microlocal analysis for di.tferential operators.
An introduction, London Mathematical Society Lecture Note Series, vol. 196,
Cambridge University Press, Cambridge, 1994.
V. GUILLEMIN & S. STERNBERG - Geometric asymptotics, Mathematical Surveys, vol. 14, American Mathematical Society, Providence, R.I., 1977.
___ , Symplectic techniques in physics, 2e éd., Cambridge University Press,
Cambridge, 1990.
S. J. GUSTAFSON & 1. M. SIGAL - Mathematical concepts of quantum mechanics, 2 8 éd., Universitext, Springer, Heidelberg, 2011.
M. C. GUTZWILLER - Chaos in classical and quantum mechanics, Interdisciplinary Applied Mathematics, vol. 1, Springer-Verlag, New York, 1990.
P. D. HISLOP & 1. M. SIGAL - Introduction to spectral theory, with applications to schriidinger operators, Applied Mathematical Sciences, vol. 113,
Springer-Verlag, New York, 1996.
(BJ89)
(BS02)
[CanOl)
[CM06)
(Cou12)
[Dav95)
[Dav07)
[Dol98)
[Fal03)
(Fau)
(FN04)
[FNDB03)
[FRS08)
(FSU)
(Fey63)
(GVZJ91)
(Gra03)
(GS94)
(GS77)
(GS90)
(GSU)
(Gut90)
[HS96]
B. H. BRANSDEN & C. J. JOACHAIN - Introduction to quantum mechanics,
Longman, 1989.
M. BRIN & G. STUCK - Introduction to dynamical systems, Cambridge University Press, Cambridge, 2002.
A. CANNAS DA SILVA - Lectures on symplectic geometry, Lecture Notes in
Mathematics, vol. 1764, Springer-Verlag, Berlin, 2001.
N. CHERNOV & R. MARKARIAN - Chaotic billiards, Mathematical Surveys
and Monographs, vol. 127, American Mathematical Society, Providence, RI,
2006.
Y. CouoÈNE - Théorie ergodique et systèmes dynamiques, Savoirs Actuels,
EDP Sciences, Les Ulis; CNRS Éditions, Paris, 2012.
E. B. DAVIES - Spectral theory and di.tferential operators, Cambridge Studies
in Advanced Mathematics, vol. 42, Cambridge University Press, Cambridge,
1995.
___ , Linear operators and their spectra, Cambridge Studies in Advanced
Mathematics, vol. 106, Cambridge University Press, Cambridge, 2007.
D. DOLGOPYAT - « On decay of correlations in Anosov flows », Ann. of Math.
(2) 147 {1998), no. 2, p. 357-390.
K. FALCONER- Fractal geometry. Mathematicalfoundations and applications,
John Wiley & Sons, lnc., Hoboken, NJ, 2003.
F. FAURE - «Films d'animations d'ondes quantiques», http://bit.ly/
1zuyexa.
F. FAURE & S. NONNENMACHER - «On the maximal scarring for quantum
cat map eigenstates », Comm. Math. Phys. 245 {2004), no. 1, p. 201-214.
F. FAURE, S. NONNENMACHER & S. DE BIÈVRE - « Scarred eigenstates for
quantum cat maps of minimal periods », Comm. Math. Phys. 239 {2003),
no. 3, p. 449-492.
F. FAURE, N. RoY & J. SJÔSTRAND - «A semiclassical approach for Anosov diffeomorphisms and Ruelle resonances », Open Math. Jou.mal 1 {2008),
p. 35-81, arXiv:0802.1780.
F. FAURE & J. SJÔSTRAND - «Upper bound on the density of Ruelle resonances for Anosov flows », Comm. Math. Phys. 308 {2011), no. 2, p. 325-364.
R. FEYNMAN - Le cours de physique de Feynman, Mécanique quantique, 1963.
M.-J. GIANNONI, A. VOROS & J. ZINN-JUSTIN {éds.) - Chaos et physique
quantique, North-Holland Publishing Co., Amsterdam, 1991.
A. GRANVILLE-« Nombres premiers et chaos quantique», Gazette des Mathématiciens, Soc. Math. France {2003), no. 97, p. 29-44.
A. GRIGIS & J. SJÔSTRAND - Microlocal analysis for di.tferential operators.
An introduction, London Mathematical Society Lecture Note Series, vol. 196,
Cambridge University Press, Cambridge, 1994.
V. GUILLEMIN & S. STERNBERG - Geometric asymptotics, Mathematical Surveys, vol. 14, American Mathematical Society, Providence, R.I., 1977.
___ , Symplectic techniques in physics, 2e éd., Cambridge University Press,
Cambridge, 1990.
S. J. GUSTAFSON & 1. M. SIGAL - Mathematical concepts of quantum mechanics, 2 8 éd., Universitext, Springer, Heidelberg, 2011.
M. C. GUTZWILLER - Chaos in classical and quantum mechanics, Interdisciplinary Applied Mathematics, vol. 1, Springer-Verlag, New York, 1990.
P. D. HISLOP & 1. M. SIGAL - Introduction to spectral theory, with applications to schriidinger operators, Applied Mathematical Sciences, vol. 113,
Springer-Verlag, New York, 1996.