0000000001314818

AUTHOR

F. Monti

showing 3 related works from this author

Adiabatic evolution for systems with infinitely many eigenvalue crossings

1998

International audience; We formulate an adiabatic theorem adapted to models that present an instantaneous eigenvalue experiencing an infinite number of crossings with the rest of the spectrum. We give an upper bound on the leading correction terms with respect to the adiabatic limit. The result requires only differentiability of the considered projector, and some geometric hypothesis on the local behavior of the eigenvalues at the crossings.

Rest (physics)Physics[ MATH ] Mathematics [math]Mathematical analysisSpectrum (functional analysis)FOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Mathematics::Spectral Theory01 natural sciencesUpper and lower boundsAdiabatic theorem0103 physical sciences010307 mathematical physicsDifferentiable functionLimit (mathematics)[MATH]Mathematics [math]010306 general physicsAdiabatic processMathematical PhysicsEigenvalues and eigenvectors
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Quantum Nekhoroshev Theorem for Quasi-Periodic Floquet Hamiltonians

1998

A quantum version of Nekhoroshev estimates for Floquet Hamiltonians associated to quasi-periodic time dependent perturbations is developped. If the unperturbed energy operator has a discrete spectrum and under finite Diophantine conditions, an effective Floquet Hamiltonian with pure point spectrum is constructed. For analytic perturbations, the effective time evolution remains close to the original Floquet evolution up to exponentially long times. We also treat the case of differentiable perturbations.

Floquet theoryDiophantine equationMathematical analysisStatistical and Nonlinear PhysicsEffective timeEnergy operatorsymbols.namesakesymbolsDifferentiable functionQuasi periodicHamiltonian (quantum mechanics)QuantumMathematical PhysicsMathematicsMathematical physicsReviews in Mathematical Physics
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CCDC 857727: Experimental Crystal Structure Determination

2012

Related Article: N.M.Shavaleev, F.Monti, R.D.Costa, R.Scopelliti, H.Bolink, E.Orti, G.Accorsi, N.Armaroli, E.Baranoff, M.Gratzel, M.K.Nazeeruddin|2012|Inorg.Chem.|51|2263|doi:10.1021/ic202297h

Space GroupCrystallographybis(t-Butylisocyanide)-bis(5-fluoro-2-(4-methoxypyridin-2-yl)phenyl)-iridium(iii) trifluoromethanesulfonateCrystal SystemCrystal StructureCell ParametersExperimental 3D Coordinates
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