-
1
-
-
33847295349
-
Entropy and the localization of eigenfunctions
-
Ann. of Math
-
N. ANANTHARAMAN, "Entropy and the localization of eigenfunctions",Ann. of Math., 2004.
-
(2004)
-
-
ANANTHARAMAN, N.1
-
2
-
-
85036911602
-
Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
-
math-ph/0610019
-
N. ANANTHARAMAN & S. NONNENMACHER, "Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold", ArXiv Mathematical Physics e-prints, math-ph/0610019, 2006.
-
(2006)
ArXiv Mathematical Physics e-prints
-
-
ANANTHARAMAN, N.1
NONNENMACHER, S.2
-
4
-
-
0000980347
-
Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time
-
D. BAMBUSI, S. GRAPFI & T. PAUL, "Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time", Asymptot. Anal. 21 (1999), no. 2, p. 149-160.
-
(1999)
Asymptot. Anal
, vol.21
, Issue.2
, pp. 149-160
-
-
BAMBUSI, D.1
GRAPFI, S.2
PAUL, T.3
-
5
-
-
85036948437
-
-
O. BOHIGAS, Random matrix theories and chaotic dynamics, Chaos and Quantum Physics, Proceedings of the Les Houches Summer School (1989) 45 (1991), p. 87-199.
-
O. BOHIGAS, "Random matrix theories and chaotic dynamics", Chaos and Quantum Physics, Proceedings of the Les Houches Summer School (1989) 45 (1991), p. 87-199.
-
-
-
-
6
-
-
0346788422
-
Characterization of chaotic quantum spectra and universality of level fluctuation laws
-
O. BOHIGAS, M. J. GIANNONI & C. SCHMIT, "Characterization of chaotic quantum spectra and universality of level fluctuation laws", Phys. Rev. Lett. 52 (1984), no. 1, p. 1-4.
-
(1984)
Phys. Rev. Lett
, vol.52
, Issue.1
, pp. 1-4
-
-
BOHIGAS, O.1
GIANNONI, M.J.2
SCHMIT, C.3
-
7
-
-
0034178794
-
Exponential mixing and ln(h) timescales in quantized hyperbolic maps on the torus
-
F. BONECHI & S. DEBIÈVRE, "Exponential mixing and ln(h) timescales in quantized hyperbolic maps on the torus", Comm. Math. Phys. 211 (2000), p. 659-686.
-
(2000)
Comm. Math. Phys
, vol.211
, pp. 659-686
-
-
BONECHI, F.1
DEBIÈVRE, S.2
-
8
-
-
26844580828
-
Long time propagation and control on scarring for perturbated quantized hyperbolic toral automorphisms
-
J. M. BOUCLET & S. DEBIÈVRE, "Long time propagation and control on scarring for perturbated quantized hyperbolic toral automorphisms", Annales Henri Poincaré 6 (2005), no. 5, p. 885-913.
-
(2005)
Annales Henri Poincaré
, vol.6
, Issue.5
, pp. 885-913
-
-
BOUCLET, J.M.1
DEBIÈVRE, S.2
-
9
-
-
0036487116
-
Uniform semiclassical estimates for the propagation of quantum observables
-
A. BOUZOUINA & D. ROBERT, "Uniform semiclassical estimates for the propagation of quantum observables", Duke Math. J. 111 (2002), no. 2, p. 223-252.
-
(2002)
Duke Math. J
, vol.111
, Issue.2
, pp. 223-252
-
-
BOUZOUINA, A.1
ROBERT, D.2
-
10
-
-
14844318064
-
Quantum normal forms, moyal star product and bohr-sommerfeld approximation
-
M. CARGO, A. GRACIA-SAZ, R. G. LITTLEJOHN, M. W. REINSCH & P. M. RIOS, "Quantum normal forms, moyal star product and bohr-sommerfeld approximation", J. Phys. A: Math. Gen. 38 (2005), p. 1997-2004.
-
(2005)
J. Phys. A: Math. Gen
, vol.38
, pp. 1997-2004
-
-
CARGO, M.1
GRACIA-SAZ, A.2
LITTLEJOHN, R.G.3
REINSCH, M.W.4
RIOS, P.M.5
-
11
-
-
14944371344
-
Ergodicité et fonctions propres du laplacien. (Ergodicity and eigenfunctions of the Laplacian)
-
Y. COLIN DE VERDIÈRE, "Ergodicité et fonctions propres du laplacien. (Ergodicity and eigenfunctions of the Laplacian)", Commun. Math. Phys. 102 (1985), p. 497-502.
-
(1985)
Commun. Math. Phys
, vol.102
, pp. 497-502
-
-
COLIN DE VERDIÈRE, Y.1
-
12
-
-
84963294839
-
Équilibre instable en régime semi-classique - I. Concentration microlocale
-
Y. COLIN DE VERDIÈRE & B. PARISSE, "Équilibre instable en régime semi-classique - I. Concentration microlocale", Communications in Partial Differential Equations 19 (1994), no. 9-10, p. 1535-1563.
-
(1994)
Communications in Partial Differential Equations
, vol.19
, Issue.9-10
, pp. 1535-1563
-
-
COLIN, Y.1
VERDIÈRE, D.2
PARISSE, B.3
-
13
-
-
0000478406
-
Équilibre instable en régime semi-classique - II. Conditions de Bohr-Sommerfeld
-
_, "Équilibre instable en régime semi-classique - II. Conditions de Bohr-Sommerfeld", Annales de l'Institut Henri Poincaré- Physique Théorique 61 (1994), no. 3, p. 347-367.
-
(1994)
Annales de l'Institut Henri Poincaré- Physique Théorique
, vol.61
, Issue.3
, pp. 347-367
-
-
COLIN, Y.1
VERDIÈRE, D.2
PARISSE, B.3
-
15
-
-
0033238569
-
A proof of the Gutzwiller semiclassical trace formula using coherent states decomposition
-
M. COMBESCURE, J. RALSTON & D. ROBERT, "A proof of the Gutzwiller semiclassical trace formula using coherent states decomposition", Commun. Math. Phys. 202 (1999), no. 2, p. 463-480.
-
(1999)
Commun. Math. Phys
, vol.202
, Issue.2
, pp. 463-480
-
-
COMBESCURE, M.1
RALSTON, J.2
ROBERT, D.3
-
16
-
-
0000392733
-
Semiclassical spreading of quantum wave packets and applications near unstable fixed points of the classical flow
-
M. COMBESCURE & D. ROBERT, "Semiclassical spreading of quantum wave packets and applications near unstable fixed points of the classical flow", Asymptotic Anal. 14 (1997), no. 4, p. 377-404.
-
(1997)
Asymptotic Anal
, vol.14
, Issue.4
, pp. 377-404
-
-
COMBESCURE, M.1
ROBERT, D.2
-
17
-
-
33749026652
-
Recent results on quantum map eigenstates
-
Mathematical physics of quantum mechanics, Springer, Berlin
-
S. DE BIÈVRE, "Recent results on quantum map eigenstates", in Mathematical physics of quantum mechanics, Lecture Notes in Phys., vol. 690, Springer, Berlin, 2006, p. 367-381.
-
(2006)
Lecture Notes in Phys
, vol.690
, pp. 367-381
-
-
DE BIÈVRE, S.1
-
18
-
-
0038741639
-
Quantum chaos: A brief first visit
-
Amer. Math. Soc
-
S. DE BIÈVRE, "Quantum chaos: a brief first visit", in Second Summer School in Analysis and Mathematical Physics (Cuernavaca, 2000), Contemp. Math., vol. 289, Amer. Math. Soc., 2001, p. 161-218.
-
(2001)
Second Summer School in Analysis and Mathematical Physics (Cuernavaca, 2000), Contemp. Math
, vol.289
, pp. 161-218
-
-
DE BIÈVRE, S.1
-
19
-
-
0000372291
-
Nonstationnary normal forms and cocycle invariants
-
D. DELATTE, "Nonstationnary normal forms and cocycle invariants", Random and Computational dynamics 1 (1992), p. 229-259.
-
(1992)
Random and Computational dynamics
, vol.1
, pp. 229-259
-
-
DELATTE, D.1
-
20
-
-
84974200494
-
On normal forms in hamiltonian dynamics, a new approach to some convergence questions
-
_, "On normal forms in hamiltonian dynamics, a new approach to some convergence questions", Ergod. Th. and Dynam. Sys. 15 (1995), p. 49-66.
-
(1995)
Ergod. Th. and Dynam. Sys
, vol.15
, pp. 49-66
-
-
DELATTE, D.1
-
21
-
-
0003260933
-
Spectral Asymptotics in the Semi-Classical Limit
-
Cambridge University Press
-
M. DIMASSI & J. SJÖSTRAND, Spectral Asymptotics in the Semi-Classical Limit, London Mathematical Society Lecture Notes, vol. 268, Cambridge University Press, 1999.
-
(1999)
London Mathematical Society Lecture Notes
, vol.268
-
-
DIMASSI, M.1
SJÖSTRAND, J.2
-
22
-
-
0001035040
-
Approach to ergodicity in quantum wave functions
-
B. ECKHARDT, S. FISHMAN, J. KEATING, O. AGAM, J. MAIN & K. MÜLLER, "Approach to ergodicity in quantum wave functions", Phys. Rev. E 52 (1995), p. 5893-5903.
-
(1995)
Phys. Rev. E
, vol.52
, pp. 5893-5903
-
-
ECKHARDT, B.1
FISHMAN, S.2
KEATING, J.3
AGAM, O.4
MAIN, J.5
MÜLLER, K.6
-
24
-
-
85036909573
-
Semiclassical formula beyond the ehrenfest time in quantum chaos. (II) propagator formula
-
in preparation
-
F. FAURE, "Semiclassical formula beyond the ehrenfest time in quantum chaos. (II) propagator formula", 2006, in preparation.
-
(2006)
-
-
FAURE, F.1
-
25
-
-
40949097584
-
Prequantum chaos: Resonances of the prequantum cat map
-
_, "Prequantum chaos: Resonances of the prequantum cat map", Journal of Modern Dynamics 1 (2007), no. 2, p. 255-285.
-
(2007)
Journal of Modern Dynamics
, vol.1
, Issue.2
, pp. 255-285
-
-
FAURE, F.1
-
31
-
-
34250786766
-
The symbol of a function of a pseudo-differential operator
-
A. GRACIA-SAZ, "The symbol of a function of a pseudo-differential operator.", Annales de l'Institut Fourier 55 (2005), no. 7, p. 2257-2284.
-
(2005)
Annales de l'Institut Fourier
, vol.55
, Issue.7
, pp. 2257-2284
-
-
GRACIA-SAZ, A.1
-
32
-
-
0001656191
-
Wave-trace invariants
-
V. GUILLEMIN, "Wave-trace invariants", Duke Math. J. 83 (1996), no. 2, p. 287-352.
-
(1996)
Duke Math. J
, vol.83
, Issue.2
, pp. 287-352
-
-
GUILLEMIN, V.1
-
33
-
-
0001397592
-
Periodic orbits and classical quantization conditions
-
M. GUTZWILLER, "Periodic orbits and classical quantization conditions", J. Math. Phys. 12 (1971), p. 343-358.
-
(1971)
J. Math. Phys
, vol.12
, pp. 343-358
-
-
GUTZWILLER, M.1
-
36
-
-
0034346372
-
Exponentially acurrate semiclassical dynamics: Propagation, localization, ehrenfest times, scattering, and more general states
-
G. A. HAGEDORN & A. JOYE, "Exponentially acurrate semiclassical dynamics: Propagation, localization, ehrenfest times, scattering, and more general states", Ann. Henri Poincaré 1 (2000), p. 837-883.
-
(2000)
Ann. Henri Poincaré
, vol.1
, pp. 837-883
-
-
HAGEDORN, G.A.1
JOYE, A.2
-
38
-
-
23944514543
-
Time dependant approach to semiclassical dynamics
-
E. J. HELLER, "Time dependant approach to semiclassical dynamics", J. Chem. Phys. 62 (1975), p. 1544-1555.
-
(1975)
J. Chem. Phys
, vol.62
, pp. 1544-1555
-
-
HELLER, E.J.1
-
39
-
-
33846791634
-
The classical limit of quantum mechanical correlation funtions
-
K. HEPP, "The classical limit of quantum mechanical correlation funtions", Comm. Math. Phys. 35 (1974), p. 265-277.
-
(1974)
Comm. Math. Phys
, vol.35
, pp. 265-277
-
-
HEPP, K.1
-
40
-
-
51249176245
-
Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
-
S. HURDER & A. KATOK, "Differentiability, rigidity and Godbillon-Vey classes for Anosov flows", Publ. Math., Inst. Hautes Étud. Sci. 72 (1990), p. 5-61.
-
(1990)
Publ. Math., Inst. Hautes Étud. Sci
, vol.72
, pp. 5-61
-
-
HURDER, S.1
KATOK, A.2
-
41
-
-
0002616056
-
The Birkhoff normal form for a Fourier integral operator. (La forme normale de Birkhoff pour un opérateur intégral de Fourier.)
-
A. IANTCHENKO, "The Birkhoff normal form for a Fourier integral operator. (La forme normale de Birkhoff pour un opérateur intégral de Fourier.)", Asymptotic Anal. 17 (1998), no. 1, p. 71-92.
-
(1998)
Asymptotic Anal
, vol.17
, Issue.1
, pp. 71-92
-
-
IANTCHENKO, A.1
-
42
-
-
0036679861
-
Birkhoff normal forms for Fourier integral operators. II
-
A. IANTCHENKO & J. SJÖSTRAND, "Birkhoff normal forms for Fourier integral operators. II", Am. J. Math. 124 (2002), no. 4, p. 817-850.
-
(2002)
Am. J. Math
, vol.124
, Issue.4
, pp. 817-850
-
-
IANTCHENKO, A.1
SJÖSTRAND, J.2
-
43
-
-
0036328269
-
Birkhoff normal forms in semiclassical inverse problems
-
A. IANTCHENKO, J. SJÖSTRAND & M. ZWORSKI, "Birkhoff normal forms in semiclassical inverse problems", Math. Res. Lett. 9 (2002), no. 2-3, p. 337-362.
-
(2002)
Math. Res. Lett
, vol.9
, Issue.2-3
, pp. 337-362
-
-
IANTCHENKO, A.1
SJÖSTRAND, J.2
ZWORSKI, M.3
-
44
-
-
0033517595
-
Semiclassical dynamics with exponentially small error estimates
-
A. JOYE & G. HAGEDORN, "Semiclassical dynamics with exponentially small error estimates", Comm. in Math. Phys. 207 (1999), p. 439-465.
-
(1999)
Comm. in Math. Phys
, vol.207
, pp. 439-465
-
-
JOYE, A.1
HAGEDORN, G.2
-
46
-
-
0000370409
-
Asymptotic properties of the periodic orbits of the cat maps
-
J. P. KEATING, "Asymptotic properties of the periodic orbits of the cat maps", Nonlinearity 4 (1991), p. 277-307.
-
(1991)
Nonlinearity
, vol.4
, pp. 277-307
-
-
KEATING, J.P.1
-
47
-
-
0002352435
-
The cat maps: Quantum mechanics and classical motion
-
_, "The cat maps: quantum mechanics and classical motion", Nonlinearity 4 (1991), p. 309-341.
-
(1991)
Nonlinearity
, vol.4
, pp. 309-341
-
-
KEATING, J.P.1
-
48
-
-
33645082904
-
The semiclassical evolution of wave-packets
-
R. G. LITTLEJOHN, "The semiclassical evolution of wave-packets", Phys. Rep. 138 (1986), no. 4-5, p. 193-291.
-
(1986)
Phys. Rep
, vol.138
, Issue.4-5
, pp. 193-291
-
-
LITTLEJOHN, R.G.1
-
50
-
-
40949140414
-
Evolution of lagrangian states through pertubated cat maps
-
Preprint
-
S. NONNENMACHER, Evolution of lagrangian states through pertubated cat maps, Preprint, 2004.
-
(2004)
-
-
NONNENMACHER, S.1
-
53
-
-
17444394452
-
Semi-classical behaviour of expectation values in time evolved lagrangian states for large times
-
R. SCHUBERT, "Semi-classical behaviour of expectation values in time evolved lagrangian states for large times", Commun. Math. Phys. 256 (2005), p. 239-254.
-
(2005)
Commun. Math. Phys
, vol.256
, pp. 239-254
-
-
SCHUBERT, R.1
-
54
-
-
0344550414
-
Resonances associated to a closed hyperbolic trajectory in dimension 2
-
J. SJÖSTRAND, "Resonances associated to a closed hyperbolic trajectory in dimension 2", Asymptotic Anal. 36 (2003), no. 2, p. 93-113.
-
(2003)
Asymptotic Anal
, vol.36
, Issue.2
, pp. 93-113
-
-
SJÖSTRAND, J.1
-
55
-
-
0036236324
-
Quantum monodromy and semi-classical trace formulae
-
J. SJÖSTRAND & M. ZWORSKI, "Quantum monodromy and semi-classical trace formulae", J. Math. Pures Appl. 1 (2002), p. 1-33.
-
(2002)
J. Math. Pures Appl
, vol.1
, pp. 1-33
-
-
SJÖSTRAND, J.1
ZWORSKI, M.2
-
56
-
-
33645090515
-
Long-time semi-classical dynamics of chaos: The stadium billard
-
S. TOMSOVIC & E. J. HELLER, "Long-time semi-classical dynamics of chaos: the stadium billard", Physical Review E 47 (1993), p. 282.
-
(1993)
Physical Review E
, vol.47
, pp. 282
-
-
TOMSOVIC, S.1
HELLER, E.J.2
-
57
-
-
84972564374
-
Uniform distribution of the eigenfunctions on compact hyperbolic surfaces
-
S. ZELDITCH, "Uniform distribution of the eigenfunctions on compact hyperbolic surfaces", Rev. Mod. Phys. 55 (1987), p. 919-941.
-
(1987)
Rev. Mod. Phys
, vol.55
, pp. 919-941
-
-
ZELDITCH, S.1
-
58
-
-
85036944342
-
-
_, Quantum dynamics from the semi-classical viewpoint, Lectures at I.H.P., 1996, http://mathnt.mat.jhu.edu/zelditch.
-
_, "Quantum dynamics from the semi-classical viewpoint", Lectures at I.H.P., 1996, http://mathnt.mat.jhu.edu/zelditch.
-
-
-
-
59
-
-
0031285802
-
Wave invariants at elliptic closed geodesics
-
_, "Wave invariants at elliptic closed geodesics", Geom. Fund. Anal. 7 (1997), no. 1, p. 145-213.
-
(1997)
Geom. Fund. Anal
, vol.7
, Issue.1
, pp. 145-213
-
-
ZELDITCH, S.1
-
60
-
-
0032221699
-
Wave invariants for non-degenerate closed geodesics
-
_, "Wave invariants for non-degenerate closed geodesics", Geom. Funct. Anal. 8 (1998), no. 1, p. 179-217.
-
(1998)
Geom. Funct. Anal
, vol.8
, Issue.1
, pp. 179-217
-
-
ZELDITCH, S.1
-
61
-
-
40949087508
-
Quantum ergodicity and mixing of eigenfunctions
-
Elsevier Encyclopedia of Math. Phys
-
_, "Quantum ergodicity and mixing of eigenfunctions", Elsevier Encyclopedia of Math. Phys, 2005.
-
(2005)
-
-
ZELDITCH, S.1
-
62
-
-
0000733386
-
Coherent states: Theory and some applications
-
W. M. ZHANG, D. H. FENG & R. GILMORE, "Coherent states: theory and some applications", Rev. Mod. Phys. 62 (1990), p. 867.
-
(1990)
Rev. Mod. Phys
, vol.62
, pp. 867
-
-
ZHANG, W.M.1
FENG, D.H.2
GILMORE, R.3
|