Adiabatic theorems and reversible isothermal processes, Lett. Math. Phys, vol.72, pp.153-163, 2005. ,
Applications of Nonlinear Fiber Optics, 2001. ,
Adiabatic theorem without a gap condition, Commun. Math. Phys, vol.203, pp.445-463, 1999. ,
Adiabatic theorems for generators of contracting evolutions, Commun. Math. Phys, vol.314, pp.163-191, 2012. ,
Adiabatic theorems for dense point spectra, Commun. Math. Phys, vol.128, pp.497-507, 1990. ,
Adiabatic theorems and applications to the quantum Hall effect, Commun. Math. Phys, vol.110, pp.33-49, 1987. ,
The adiabatic theorem and linear response theory for extended quantum systems, Commun. Math. Phys, vol.361, pp.997-1027, 2018. ,
Nonlinear Landau-Zener tunneling, Phys. Rev. A, vol.61, p.23402, 2000. ,
Beweis des Adiabatensatzes, Z. Phys, vol.51, pp.165-180, 1928. ,
A nonlinear adiabatic theorem for coherent states, Nonlinearity, vol.24, pp.1-22, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00530175
A Nonlinear Landau-Zener formula, J. Stat. Phys, vol.152, pp.619-656, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00759132
Linear operators and their spectra, Cambridge studies in advanced mathematics 106, CUP, 2007. ,
Discrete time adiabatic theorems for quantum mechanical systems, J. Math. Phys, vol.39, pp.1340-1349, 1998. ,
, Partial Differential Equations, vol.10, 1998.
One-parameter semigroups for linear evolution equations, 2000. ,
Adiabatic theorem for the Gross-Pitaevskii equation, Commun. in PDE, vol.42, pp.731-756, 2017. ,
Riesz spectral systems, Memorandum, Department of Applied Mathematics, 2001. ,
Recent Results on Non-Adiabatic Transitions in Quantum Mechanics, AMS Contemporary Mathematics Series, vol.412, pp.183-198, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00348752
Landauer's Principle in Repeated Interaction Systems Commun, Math. Phys, vol.349, pp.285-327, 2017. ,
Landauer's Principle for Trajectories of Repeated Interaction Systems, Ann. H. Poincaré, vol.19, pp.1939-1991, 2018. ,
The nonlinear coherent coupler, IEEE J. Quantum Electron, vol.18, pp.1580-1583, 1982. ,
Proof of the Landau-Zener formula, Asymp. Analysis, vol.9, pp.209-258, 1994. ,
URL : https://hal.archives-ouvertes.fr/hal-01222730
Absence of Absolutely Continuous Spectrum of Floquet Operators, J. Stat. Phys, vol.75, pp.929-952, 1994. ,
URL : https://hal.archives-ouvertes.fr/hal-01222737
General Adiabatic Evolution with a Gap Condition, Commun. Math. Phys, vol.275, pp.139-162, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00348742
Exponential Decay and Geometric Aspect of Transition Probabilities in the Adiabatic Limit, Ann. Phys, vol.208, pp.299-332, 1991. ,
URL : https://hal.archives-ouvertes.fr/hal-01205366
Exponentially Small Adiabatic Invariant for the Schrödinger Equation, Commun. Math. Phys, vol.140, pp.15-41, 1991. ,
On the Adiabatic Theorem of Quantum Mechanics, J. Phys. Soc. Japan, vol.5, pp.435-439, 1950. ,
Perturbation Theory for Linear Operators, 1980. ,
Zener tunneling in coupled waveguide arrays, Phys. Rev. A, vol.82, p.13839, 2010. ,
Nonadiabatic Landau-Zener tunneling in waveguide arrays with a step in the refractive index, Phys. Rev. Lett, vol.94, p.113904, 2005. ,
Linear Differential Equations in Banach Space, Translations of Mathematical Monographs, vol.29, 1971. ,
, Lectures on Vector Bundles, CUP, 1997.
Asymmetric Landau-Zener tunneling in a periodic potential, Phys. Rev. Lett, vol.91, p.230406, 2003. ,
, , 2018.
On the adiabatic theorem of quantum mechanics, J. Phys. A, Math. Gen, vol.13, pp.15-18, 1980. ,
Linear adiabatic theory. Exponential estimates, Commun. Math. Phys, vol.152, pp.479-496, 1993. ,
, Methods of Modern Mathematical Physics, 1972.
Adiabatic theorems with and without spectral gap condition for non-semisimple spectral values, Mathematical Results in Quantum Mechanics: Pro-ceedings of the QMath12 Conference, 2014. ,
, , 1994.
Weakly Nonlinear Time-Adiabatic Theory, vol.17, pp.913-936, 2016. ,
Adiabatic theorem for discrete time evolution, J. Phys. Soc. Japan, vol.80, p.12, 2011. ,
A note on the adiabatic theorem without gap condition, Lett. Math. Phys, vol.58, pp.261-266, 2001. ,