Clotilde Fermanian Kammerer
Publications
-
The superadiabatic projectors method applied to the spectral theory of magnetic operators
with Lino Benedetto, Nicolas Raymond and Éric Vacelet, preprint
-
A microlocal calculus on filtered manifolds
with Veronique Fischer and Steven Flynn,
preprint
-
Semi-classical analysis
with Jérome Le Rousseau, review,
preprint
-
Quantization on Groups and Garding inequality
with Lino Benedetto and Veronique Fischer.
preprint
-
Asymptotic initial value representation of the solutions of semi-classical systems presenting smooth codimension one crossings
with Caroline Lasser and Didier Robert.
preprint
-
Some remarks on semi-classical analysis on two-step Nilmanifolds
with Veronique Fischer and Steven Flynn,
in "Quantum
Mathematics I and II", Springer INdAM Series (vol. 57
and 58).
preprint
-
On the Cauchy problem for the Hartree approximation in quantum dynamics
with Rémi Carles and Caroline Lasser, Nonlinearity, 36(6) (2023).
preprint
-
Dynamical approximations for composite quantum systems: Assessment of error estimates for a separable ansatz
with Irene Burghardt, Rémi Carles, Benjamin Lasorne and Caroline Lasser, J. Phys. A: Math. Theor. 55 224010 (2022).
preprint,
article
-
Geometric invariance of the semi-classical calculus on nilpotent graded Lie groups
with Veronique Fischer and Steven Flynn, The Journal of Geometric Analysis, 33, (2023).
preprint
-
Propagation of Coherent States through Conical Intersections
with Stephanie Gamble and Lysianne Hari, Pure and Applied Analysis, 5(2), p. 323-376 (2023).
preprint
-
Edge state dynamics along curved interfaces
with Guillaume Bal, Simon Becker, Alexis Drouot, Jianfeng Lu and Alexander Watson, to appear in SIAM Journal on Mathematical Analysis.
preprint
-
Separation of scales: a quantum-classical approach for complex systems and a system-bath ansatz
with Irene Burghardt, Rémi Carles, Benjamin Lasorne and Caroline Lasser, J. Phys. A: Math. Theor. 54 414002 (2021).
article,
-
Effective mass theorems with Bloch modes crossings ,
with Victor Chabu and Fabricio Macià, Arch. Rational Mech. Anal. 245 p.1339–1400 (2022).
preprint
-
Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations
with Caroline Lasser and Didier Robert, in Partial Differential Equations, Spectral Theory, and Mathematical Physics.
The Ari Laptev Anniversary Pavel Exner, Rupert L. Frank, Fritz Gesztesy, Helge Holden, Timo Weidl (eds.),
EMS Publishing House (2021).
preprint
-
Observability and controllability for the Schroedinger equation on quotients of groups of Heisenberg type
with Cyril Letrouit, Journal de l’École Polytechnique, Math., 8, p. 1459-1513 (2021).
preprint
-
Propagation of wave packets for systems presenting codimension 1 crossings
with Caroline Lasser and Didier Robert, CIMP, 385(3), p. 1685-1739 (2021).
preprint - article
-
Coherent electronic transport in periodic crystals
with Eric Cancès, Antoine Levitt and Sami Siraj-Dine, Annales Henri Poincaré, 22(8), p. 2643-2690 (2021).
preprint
-
Nonlinear Quantum Adiabatic Approximation
with Alain Joye, 33(9), p. 4715-4751 (2020).
preprint
-
Quantum evolution and sub-laplacian operators on groups of Heisenberg type
with Véronique Fischer, Journal of Spectral Theory, 11(3), p. 1313-1367 (2021)
preprint
-
Semi-classical analysis on H-type groups
with Véronique Fischer, Sci. China Math. 62 (2019), p. 1057-1086.
preprint
-
Defect measures on graded lie groups
with Véronique Fischer, Ann. Sc. Norm. Super. Pisa. Vol 21(5), p. 207-291 (2020).
preprint
-
Wigner measures and effective mass theorems
with Victor Chabu and Fabricio Macià, Annales Henri Lebesgue, 3 (2020), p. 1049-1089.
preprint
-
An Egorov Theorem for avoided crossings of eigenvalue surfaces
with C. Lasser, Comm. in Math. Physics, 353 (2017), p. 1011-1057.
preprint
-
Semiclassical analysis of dispersion phenomena
with V. Chabu and F. Macià, in Analysis and Partial Differential Equations, 2016, Springer.
preprint
-
A kinetic model for the transport of electrons in a graphene layer
with F. Méhats, Journal of Computational Physics, 327 (2016)
preprint
-
Dispersive estimates for the Schrodinger operator on step 2 stratified Lie Groups
with H. Bahouri and I. Gallagher, Analysis and PDEs, 9 (2016), no. 3, p. 545-574,
preprint
-
Long-time dynamics of completely integrable Schrodinger flows on the torus
with N. Anantharaman and F. Macia, American Journal of Mathematics, 137(3) (2015) p. 577-638.
preprint
-
Analysis of the energy decay of a degenerated thermoelasticity system
with A. Atallah-Baraket,
Journal of the Institute of Mathematics of Jussieu, 13 (2014), 1, p. 145-181
preprint
-
Wigner measure propagation and Lipschitz conical singularity for general initial data
with P. Gérard and C. Lasser, Arch. Ration. Mech. Anal. 209 (2013), 1, p. 209-236.
preprint
-
A nonlinear Landau-Zener formula
with R. Carles, J. Stat. Phys. 152 (2013), 4, p. 619-656. preprint
-
Refined inequalities on graded Lie groups
with H. Bahouri and I. Gallagher, C. R. Acad. Sci. Paris , Série I 350 (2012) p. 393-397.
-
Phase space analysis and pseudodifferential calculus on the Heisenberg group
with H. Bahouri and I. Gallagher, Astérisque 342 (2012), vi+128 pages.
-
A Nonlinear Adiabatic Theorem for Coherent States
with R. Carles, Nonlinearity , 24 (2011) p. 1-22.
-
Nonlinear coherent states and Ehrenfest time for Schrodinger equation
with R. Carles, Comm. Math. Phys., 301, 2 (2011), p. 443-471.
-
Semi-classical analysis of a conjoint crossing of three symmetric modes
with V. Rousse,
Methods Appl. Anal., 17, 2 (2010), p. 137-163.
-
Analyse de l'espace des phases et calcul pseudodifferentiel sur le groupe de Heisenberg
with H. Bahouri and I. Gallagher,
C. R. Acad. Sci. Paris. 347, 1 (2009), p. 1021-1024.
-
Degenerated codimension 1 crossings and resolvent estimates
with T. Jecko and T. Duyckaerts, Asympt. Analysis, 3-4 (2009), p. 147-174,
preprint .
-
On the time evolution of Wigner measures for Schrodinger equations
with R. Carles, N. Mauser and H.-P. Stimming, CPAA, 8 (2009), 2, p. 559-585,
preprint
-
Single switch surface hopping for molecular dynamics with transitions
with C. Lasser, Journal of Chemical Physics, 128, 144102 (2008).
-
Propagation through generic level crossings: a surface hopping semigroup
with C. Lasser, SIAM J. of Math. Anal. , 140, 1, p. 103-133 (2008).
-
Resolvant estimates for a Schrodinger operator with matrix-valued potential presenting eigenvalue crossings: Application to Strichartz estimates
with V. Rousse, Comm. in Part. Diff. Eq. 33, 1, p. 19-44 (2008).
-
Normal forms for conical intersections in quantum chemistry
Math. Phys. Elect. Jour., 13, 4 (2007) lien.
-
Analyse à deux échelles d'une suite bornée de $L^2$ sur une sous-variété du cotangent
C. R. Acad. Sci. Paris , Série I 340 (2005) p. 269-274.
-
High frequency analysis of families of solutions of the
equation of viscoelasticity of Kelvin-Voigt
with A. Atallah-Baraket,
J. Hyperbolic Differ. Equ. 1, 4, p.789-812 , 2004.
-
Semi-classical analysis of generic codimension 3 crossings
Int. Math. Res. Not. 45 p.2391-2435, 2004.
-
Semi-classical analysis of a Dirac equation without adiabatic decoupling
Monat. fur Math. 142, 4, p.281-313, 2004. preprint:
-
A non commutative Landau-Zener formula
Math. Nach. 271 p.22-50 (2004).
-
Wigner measures and molecular propagation through generic energy level crossings
Reviews in Mathematical Physics , 15, p.1285-1317 (2003).
-
A Landau-Zener formula for non-degenerated involutive codimension three
crossings
with P. Gérard, Ann. Henri Poincaré 4 (2003), p.513-552.
-
On the role of quadratic oscillations in non linear Schrodinger equation
with R. Carles and I. Gallagher,
J.F.A. , 203, 2, (2003), p.453-493.
-
Wigner measures and codimension two crossings
with C. Lasser,
Jour. Math. Phys. , 44, 2 (2003).
-
Une formule de Landau-Zener pour un croisement non dégénéré
et involutif de codimension 3
with P. Gérard,
C. R. Acad. Sci. Paris , Série I 335 (2002) p.915-920.
-
Mesures semi-classiques et croisements de mode
with P. Gérard,
Bull. S.M.F, 130, 1 (2002), p.123-168.
lien
-
Propagation and absorption of concentration effects near shock hypersurfaces
for the heat equation
Asymptotic Analysis , 24 (2000) 107-141.
-
Mesures semi-classiques 2-microlocales
C.R. Acad. Sci. Paris , t.331,
Série I, 515-518 (2000).
-
Stability of the blow-up profile of non-linear heat equations from the dynamical system point of view
with F. Merle
and H. Zaag,
Math. Ann., 317, 347-387 (2000).
-
Boundedness till blow-up of the difference between two solutions to a
semilinear heat equation
with H. Zaag,
Nonlinearity , 13 (2000), 1189-1216.
Miscellaneous
-
Semi-classical mehods and solid states physics ,
Summer school - Dynamics: Classical, Modern and Quantum (pageweb), Northwestern, June 17-21, 2024,
Lecture notes
-
Semi-classical analysis on graded Lie groups
Spring school: Modern Topics on Analysis on Lie Groups (pageweb), Goettingen, April 2-5, 2024,
Lecture notes
-
Semiclassical analysis and Bloch-Floquet theory
Master Class du centre Henri Lebesgue (pageweb)
Lecture notes
-
Analyse multi-échelle et équation de Schroedinger
Cours de M2 Math Parcours Analyse - (années universitaires 2020-21 et 2021-22, université Paris-Est Créteil et université Gustave Eiffel)
Cours - Exercices
-
Le chaos quantique,
Actes des journées X-UPS 2014, with
N. Anantharaman and F. Faure, fichier.pdf.
-
Nonlinear propagation of wave packets,
Mini-Cours: Lectures on Semi-classical Analysis, 21-22 Octobre 2010, Ritsumeikan University, Kyoto.
fichier.pdf
-
Une formule de Landau-Zener pour un croisement générique de codimension 2,
Séminaire d'équations aux dérivées partielles,
2001-2002, N. 21, Ecole Polytechnique. file
-
Mesures semi-classiques et croisements de modes,
Séminaire d'équations aux
dérivées partielles,
1999-2000, N.18, Ecole Polytechnique. file
Codes
The source codes of the schemes developed for conical intersections with Caroline Lasser and for graphen with Florian Méhats are available on request.