Gianluca Panati
Gianluca Panati
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Exponential localization of Wannier functions in insulators
C Brouder, G Panati, M Calandra, C Mourougane, N Marzari
Physical review letters 98 (4), 046402, 2007
Effective dynamics for Bloch electrons: Peierls substitution and beyond
G Panati, H Spohn, S Teufel
Communications in Mathematical Physics 242 (3), 547-578, 2003
Triviality of bloch and bloch–dirac bundles
G Panati
Annales Henri Poincaré 8 (5), 995-1011, 2007
Space-adiabatic perturbation theory
G Panti, H Spohn, S Teufel
Advances in Theoretical and Mathematical Physics 7 (1), 145-204, 2003
The time-dependent Born-Oppenheimer approximation
G Panati, H Spohn, S Teufel
ESAIM: Mathematical Modelling and Numerical Analysis 41 (2), 297-314, 2007
Bloch bundles, Marzari-Vanderbilt functional and maximally localized Wannier functions
G Panati, A Pisante
Communications in Mathematical Physics 322 (3), 835-875, 2013
Invariants of Topological Insulators as Geometric Obstructions
D Fiorenza, D Monaco, G Panati
Communications in Mathematical Physics 343 (3), 1115-1157, 2016
Space-adiabatic perturbation theory in quantum dynamics
G Panati, H Spohn, S Teufel
Physical review letters 88 (25), 250405, 2002
Construction of real-valued localized composite Wannier functions for insulators
D Fiorenza, D Monaco, G Panati
Annales Henri Poincaré 17 (1), 63-97, 2016
Robust determination of maximally localized Wannier functions
É Cancès, A Levitt, G Panati, G Stoltz
Physical Review B 95 (7), 075114, 2017
Optimal decay of Wannier functions in Chern and quantum Hall insulators
D Monaco, G Panati, A Pisante, S Teufel
Communications in Mathematical Physics 359 (1), 61-100, 2018
Geometric currents in piezoelectricity
G Panati, C Sparber, S Teufel
Archive for rational mechanics and analysis 191 (3), 387-422, 2009
Symmetry and localization in periodic crystals: triviality of Bloch bundles with a fermionic time-reversal symmetry
D Monaco, G Panati
Acta Applicandae Mathematicae 137 (1), 185-203, 2015
Motion of electrons in adiabatically perturbed periodic structures
G Panati, H Spohn, S Teufel
Analysis, modeling and simulation of multiscale problems, 595-617, 2006
Gell-Mann and Low formula for degenerate unperturbed states
C Brouder, G Panati, G Stoltz
Annales Henri Poincaré 10 (7), 1285-1309, 2010
Adiabatic approximation, Gell-Mann and Low theorem, and degeneracies: A pedagogical example
C Brouder, G Stoltz, G Panati
Physical Review A 78 (4), 042102, 2008
Many-body Green function of degenerate systems
C Brouder, G Panati, G Stoltz
Physical review letters 103 (23), 230401, 2009
On the control of spin-boson systems
U Boscain, P Mason, G Panati, M Sigalotti
Journal of Mathematical Physics 56 (9), 092101, 2015
Propagation of Wigner functions for the Schrödinger equation with a perturbed periodic potential
S Teufel, G Panati
Multiscale methods in quantum mechanics, 207-220, 2004
The flux-across-surfaces theorem for a point interaction Hamiltonian
G Panati, A Teta
arXiv preprint math-ph/9908008, 1999
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