Alain Joye

Documents

Publications

	Adiabatic Lindbladian Evolution with Small Dissipators Alain Joye Communications in Mathematical Physics, 2022, 391, pp.223-267. ⟨10.1007/s00220-021-04306-5⟩ Article dans une revue hal-03503460v1
	Fermionic walkers driven out of equilibrium Simon Andreys , Alain Joye , Renaud Raquépas Journal of Statistical Physics, 2021, 184 (2), pp.14. ⟨10.1007/s10955-021-02795-1⟩ Article dans une revue hal-02931450v1
	Perturbation Analysis of Quantum Reset Models Géraldine Haack , Alain Joye Journal of Statistical Physics, 2021, 183, pp.17. ⟨10.1007/s10955-021-02752-y⟩ Article dans une revue hal-02960881v1
	Adiabatic transitions in a two-level system coupled to a free Boson reservoir Alain Joye , Marco Merkli , Dominique Spehner Annales Henri Poincaré, 2020, 21, pp.3157-3199. ⟨10.1007/s00023-020-00946-w⟩ Article dans une revue hal-02960895v1
	A Nonlinear Quantum Adiabatic Approximation Clotilde Fermanian Kammerer , Alain Joye Nonlinearity, 2020, 33, pp.4715-4751. ⟨10.1088/1361-6544/ab8d15⟩ Article dans une revue hal-02163163v2
	On stable quantum currents Joachim Asch , Olivier Bourget , Alain Joye Journal of Mathematical Physics, 2020, 61 (9), pp.092104. ⟨10.1063/5.0005737⟩ Article dans une revue hal-02160583v2
	Chirality induced interface currents in the Chalker–Coddington model Joachim Asch , Olivier Bourget , Alain Joye Journal of Spectral Theory, 2019, 9 (4), pp.1405-1429. ⟨10.4171/JST/281⟩ Article dans une revue hal-01572592v1
	Lower Bounds on the Localisation Length of Balanced Random Quantum Walks Joachim Asch , Alain Joye Letters in Mathematical Physics, 2019, 109 (9), pp.2133-2155. ⟨10.1007/s11005-019-01180-0⟩ Article dans une revue hal-01953415v1
	Landauer's Principle for Trajectories of Repeated Interaction Systems Eric P Hanson , Alain Joye , Yan Pautrat , Renaud Raquépas Annales Henri Poincaré, 2018, 19, pp.1939-1991. ⟨10.1007/s00023-018-0679-1⟩ Article dans une revue hal-01574145v1
	Thermalization of Fermionic Quantum Walkers Eman Hamza , Alain Joye Journal of Statistical Physics, 2017, 166 (6), pp.1365-1392. ⟨10.1007/s10955-017-1727-9⟩ Article dans une revue hal-01402623v1
	Landauer's Principle in Repeated Interaction Systems Eric Hanson , Alain Joye , Yan Pautrat , Renaud Raquépas Communications in Mathematical Physics, 2017, 349, pp.285-327 Article dans une revue hal-01214207v1
	Density of States for Random Contractions Alain Joye Journal of Spectral Theory, 2017, 7 (2), pp.407-431. ⟨10.4171/JST/167⟩ Article dans une revue hal-01199237v1
	Representations of canonical commutation relations describing infinite coherent states Alain Joye , Marco Merkli Communications in Mathematical Physics, 2016, 347 (2), pp.421-448. ⟨10.1007/s00220-016-2611-1⟩ Article dans une revue hal-01199246v1
	Spectral Properties of Non-Unitary Band Matrices Eman Hamza , Alain Joye Annales Henri Poincaré, 2015, 16 (11), pp.2499-2534. ⟨10.1007/s00023-014-0385-6⟩ Article dans une revue hal-00963963v1
	Spectral Stability of Unitary Network Models Joachim Asch , Olivier Bourget , Alain Joye Reviews in Mathematical Physics, 2015, 27 (7), ⟨10.1142/S0129055X15300046⟩ Article dans une revue hal-01182809v1
	Repeated interactions in open quantum systems Laurent Bruneau , Alain Joye , Marco Merkli Journal of Mathematical Physics, 2014, 55, pp.075204. ⟨10.1063/1.4879240⟩ Article dans une revue hal-00954345v1
	Spectral Properties of Quantum Walks on Rooted Binary Trees Alain Joye , Laurent Marin Journal of Statistical Physics, 2014, 155, pp.415-439 Article dans une revue hal-00954344v1
	Spectral Transition for Random Quantum Walks on Trees Eman Hamza , Alain Joye Communications in Mathematical Physics, 2014, 326 (2), pp.415-439. ⟨10.1007/s00220-014-1882-7⟩ Article dans une revue hal-00954342v1
	Dynamical Localization for d-Dimensional Random Quantum Walks Alain Joye Quantum Information Processing, 2012, 11 (5), pp.1251-1269. ⟨10.1007/s11128-012-0406-7⟩ Article dans une revue hal-00954340v1
	Correlated Markov Quantum Walks Eman Hamza , Alain Joye Annales Henri Poincaré, 2012, 13 (8), pp.1767-1805. ⟨10.1007/s00023-012-0168-x⟩ Article dans une revue hal-00954335v1
	Dynamical Localization of the Chalker-Coddington Model far from Transition Joachim Asch , Olivier Bourget , Alain Joye Journal of Statistical Physics, 2012, 147, pp.194-205. ⟨10.1007/s10955-012-0477-y⟩ Article dans une revue hal-00653733v1
	Random Time-Dependent Quantum Walks Alain Joye Communications in Mathematical Physics, 2011, 307, pp.65-100. ⟨10.1007/s00220-011-1297-7⟩ Article dans une revue hal-00527820v1
	Random Unitary Models and their Localization Properties Alain Joye Contemporary mathematics, 2011, 552, pp.117-134 Article dans une revue hal-00634712v1
	Dynamical Localization of Quantum Walks in Random Environments Alain Joye , Marco Merkli Journal of Statistical Physics, 2010, 140 (6), pp.1025-1053. ⟨10.1007/s10955-010-0047-0⟩ Article dans une revue hal-00476294v1
	Abstract adiabatic charge pumping Alain Joye , Valentina Brosco , Frank. W. J. Hekking Confluentes Mathematici, 2010, 2, pp.159-180 Article dans une revue hal-00464797v1
	Tunneling dynamics and spawning with adaptive semi-classical wave-packets Vasile Gradinaru , George A. Hagedorn , Alain Joye Journal of Chemical Physics, 2010, 132, pp.184108 Article dans une revue hal-00954339v1
	Exponentially Accurate Semiclassical Tunneling Wave Functions in One Dimension Vasile Gradinaru , George A. Hagedorn , Alain Joye Journal of Physics A: Mathematical and Theoretical, 2010, 43, pp.474026 Article dans une revue hal-00464798v1
	Repeated and continuous interactions in open quantum systems Laurent Bruneau , Alain Joye , Marco Merkli Annales Henri Poincaré, 2010, 10 (7), pp.1251-1284. ⟨10.1007/s00023-009-0017-8⟩ Article dans une revue hal-00384979v1
	Infinite products of random matrices and repeated interaction quantum dynamics Laurent Bruneau , Alain Joye , Marco Merkli Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2010, 46, pp.442-464 Article dans une revue hal-00157716v1
	A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds II: The Non--Symmetric Case George A. Hagedorn , Alain Joye Reviews in Mathematical Physics, 2009, 21, pp.279-313 Article dans une revue hal-00380507v1
	Dynamical Localization for Unitary Anderson Models Eman Hamza , Alain Joye , Günter Stolz Mathematical Physics Analysis and Geometry, 2009, 12, pp.381-444 Article dans une revue hal-00365308v1
	A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds George A. Hagedorn , Alain Joye Few-Body Systems, 2009, 45 (2-4), pp.183-186. ⟨10.1007/s00601-009-0024-9⟩ Article dans une revue hal-00380508v1
	Emergence of exponentially small reflected waves Volker Betz , Alain Joye , Stefan Teufel Asymptotic Analysis, 2009, 64, pp.53-100 Article dans une revue hal-00380509v1
	Non-abelian superconducting pumps Valentina Brosco , Rosario Fazio , Frank. W. J. Hekking , Alain Joye Physical Review Letters, 2008, 100, pp.027002 Article dans une revue hal-00348738v1
	Random Repeated Interaction Quantum Systems Laurent Bruneau , Alain Joye , Marco Merkli Communications in Mathematical Physics, 2008, 284, pp.553-581 Article dans une revue hal-00348736v1
	The Langevin Equation for a Quantum Heat Bath Stephane Attal , Alain Joye Journal of Functional Analysis, 2007, 247, pp.253-288 Article dans une revue hal-00348741v1
	Vibrational Levels Associated with Hydrogen Bonds and Semiclassical Hamiltonian Normal Forms George A. Hagedorn , Alain Joye Contemporary mathematics, 2007, 447, pp.139-151 Article dans une revue hal-00348751v1
	Weak Coupling and Continuous Limits for Repeated Quantum Interactions Stephane Attal , Alain Joye Journal of Statistical Physics, 2007, 126, pp.1241-1283 Article dans une revue hal-00348746v1
	General Adiabatic Evolution with a Gap Condition Alain Joye Communications in Mathematical Physics, 2007, 275, pp.139-162 Article dans une revue hal-00348742v1
	A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds I: The Symmetric Case George A. Hagedorn , Alain Joye Communications in Mathematical Physics, 2007, 274, pp.691-715 Article dans une revue hal-00348744v1
	Semi-classical determination of exponentially small intermode transitions for $1+1$ space-time scattering systems Alain Joye , Magali Marx Communications on Pure and Applied Mathematics, 2007, 60, pp.1189-1237 Article dans une revue hal-00008156v1
	Recent Results on Non--Adiabatic Transitions in Quantum Mechanics George A. Hagedorn , Alain Joye Contemporary mathematics, 2006, 412, pp.183-198 Article dans une revue hal-00348752v1
	Localization for Random Unitary Operators Eman Hamza , Alain Joye , Günter Stolz Letters in Mathematical Physics, 2006, 75, pp.255-272 Article dans une revue hal-00348747v1
	Asymptotics of repeated interaction quantum systems Laurent Bruneau , Alain Joye , Marco Merkli Journal of Functional Analysis, 2006, 239, pp.310-344 Article dans une revue hal-00348739v1
	Determination of Non-Adiabatic Scattering Wave Functions in a Born-Oppenheimer Model George A. Hagedorn , Alain Joye Annales Henri Poincaré, 2005, 6, pp.937-990 Article dans une revue hal-00348756v1
	Fractional Moment Estimates for Random Unitary Operators Alain Joye Letters in Mathematical Physics, 2005, 72, pp.51-64 Article dans une revue hal-00348755v1
	Time Development of Exponentially Small Non-Adiabatic Transitions George A. Hagedorn , Alain Joye Communications in Mathematical Physics, 2004, 250, pp.393-413 Article dans une revue hal-00348757v1
	Density of States and Thouless Formula for Random Unitary Band Matrices Alain Joye Annales Henri Poincaré, 2004, 5, pp.349-379 Article dans une revue hal-00348758v1
	Spectral Analysis of Unitary Band Matrices Olivier Bourget , James S. Howland , Alain Joye Communications in Mathematical Physics, 2003, 234, pp.191-227 Article dans une revue hal-00348759v1
	Elementary Exponential Error Estimates for the Adiabatic Approximation George A. Hagedorn , Alain Joye Journal of Mathematical Analysis and Applications, 2002, 267, pp.235-246 Article dans une revue hal-00348760v1
	Avoided crossings in mesoscopic systems: Electron propagation on a nonuniform magnetic cylinder Pavel Exner , Alain Joye Journal of Mathematical Physics, 2001, 42 (10), pp.4707-4738 Article dans une revue hal-01260751v1
	A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates George A. Hagedorn , Alain Joye Communications in Mathematical Physics, 2001, 223 (3), pp.583-626. ⟨10.1007/s002200100562⟩ Article dans une revue hal-01260634v1
	Magnetic transport in a straight parabolic channel Pavel Exner , Alain Joye , H. Kovařík Journal of Physics A: Mathematical and General (1975 - 2006), 2001, 34 (45), pp.9733-9752 Article dans une revue hal-01260809v1
	Complex WKB method for 3-level scattering systems Alain Joye , Charles-Edouard Pfister Asymptotic Analysis, 2000, 23, pp.91-109 Article dans une revue hal-01233238v1
	Exponentially Accurate Semiclassical Dynamics: Propagation, Localization, Ehrenfest Times, Scattering, and More General States George A. Hagedorn , Alain Joye Annales de l'Institut Henri Poincaré, 2000, 1 (5), pp.837-883. ⟨10.1007/PL00001017⟩ Article dans une revue hal-01260528v1
	Molecular Propagation through small Avoided Crossings of Electron Energy Levels George A. Hagedorn , Alain Joye Reviews in Mathematical Physics, 1999, 11 (01), pp.41-101. ⟨10.1142/S0129055X99000040⟩ Article dans une revue hal-01233198v1
	Edge currents in the absence of edges Pavel Exner , Alain Joye , H. Kovařík Physics Letters A, 1999, 264 (2-3), pp.124-130. ⟨10.1016/S0375-9601(99)00804-X⟩ Article dans une revue hal-01233232v1
	Adiabatic evolution for systems with infinitely many eigenvalue crossings Alain Joye , F. Monti , S. Guérin , H. R. Jauslin Journal of Mathematical Physics, 1999, 40 (11), pp.5456-5472. ⟨10.1063/1.533039⟩ Article dans une revue hal-01233203v1
	Semiclassical Dynamics with Exponentially Small Error Estimates George A. Hagedorn , Alain Joye Communications in Mathematical Physics, 1999, 207 (2), pp.439-465. ⟨10.1007/s002200050732⟩ Article dans une revue hal-01233213v1
	Expectation Values of Observables in Time-Dependent Quantum Mechanics Jean-Marie Barbaroux , Alain Joye Journal of Statistical Physics, 1998, 90 (5/6), pp.1125-1249. ⟨10.1023/A:1023279311564⟩ Article dans une revue hal-01233193v1
	Landau-Zener transitions through small electronic eigenvalue gaps in the Born-Oppenheimer approximation George A. Hagedorn , Alain Joye Annales de l'Institut Henri Poincare Physique Theorique, 1997, 68 (2), pp.85-134 Article dans une revue hal-01233188v1
	Exponential Asymptotics in a Singular Limit for n-Level Scattering Systems Alain Joye SIAM Journal on Mathematical Analysis, 1997, 28 (3), pp.669-703. ⟨10.1137/S0036141095288847⟩ Article dans une revue hal-01233166v1
	Upper bounds for the energy expectation in time-dependent quantum mechanics Alain Joye Journal of Statistical Physics, 1996, 85 (5-6), pp.575-606. ⟨10.1007/BF02199357⟩ Article dans une revue hal-01232516v1
	An adiabatic theorem for singularly perturbed hamiltonians Alain Joye Annales de l'Institut Henri Poincare Physique Theorique, 1995, 63, pp.231-250 Article dans une revue hal-01226538v1
	Semiclassical Asymptotics Beyond All Orders for Simple Scattering Systems Alain Joye , Charles-Edouard Pfister SIAM Journal on Mathematical Analysis, 1995, 26 (4), ⟨10.1137/S0036141093250852⟩ Article dans une revue hal-01232499v1
	Proof of the Landau–Zener formula Alain Joye Asymptotic Analysis, 1994, 9 (3), pp.209-258. ⟨10.3233/ASY-1994-9302⟩ Article dans une revue hal-01222730v1
	Absence of absolutely continuous spectrum of Floquet operators Alain Joye Journal of Statistical Physics, 1994, 75 (5-6), ⟨10.1007/BF02186751⟩ Article dans une revue hal-01222737v1
	Non-trivial prefactors in adiabatic transition probabilities induced by high-order complex degeneracies Alain Joye Journal of Physics A: Mathematical and General (1975 - 2006), 1993, 26 (22), ⟨10.1088/0305-4470/26/22/045⟩ Article dans une revue hal-01221177v1
	Non-Abelian geometric effect in quantum adiabatic transitions Alain Joye , Charles-Edouard Pfister Physical Review A : Atomic, molecular, and optical physics [1990-2015], 1993, 48 (4), ⟨10.1103/PhysRevA.48.2598⟩ Article dans une revue hal-01221147v1
	Superadiabatic evolution and adiabatic transition probability between two nondegenerate levels isolated in the spectrum Alain Joye , Charles-Edouard Pfister Journal of Mathematical Physics, 1993, 34 (2), ⟨10.1063/1.530255⟩ Article dans une revue hal-01221129v1
	Absence of geometrical correction to the Landau-Zener formula Alain Joye , Charles-Edouard Pfister Physics Letters A, 1992, 169 (1-2), pp.62-66. ⟨10.1016/0375-9601(92)90806-W⟩ Article dans une revue hal-01205390v1
	Exponentially small adiabatic invariant for the Schrödinger equation Alain Joye , Charles-Edouard Pfister Communications in Mathematical Physics, 1991, 140 (1), pp.15-41. ⟨10.1007/BF02099288⟩ Article dans une revue hal-01199298v1
	Interferences in adiabatic transition probabilities mediated by Stokes lines Alain Joye , G. Mileti , Charles-Edouard Pfister Physical Review A : Atomic, molecular, and optical physics [1990-2015], 1991, 44 (7), pp.4280-4295. ⟨10.1103/PhysRevA.44.4280⟩ Article dans une revue hal-01205384v1
	Full asymptotic expansion of transition probabilities in the adiabatic limit Alain Joye , Charles-Edouard Pfister Journal of Physics A: Mathematical and General (1975 - 2006), 1991, 24 (4), pp.753-766. ⟨10.1088/0305-4470/24/4/012⟩ Article dans une revue hal-01205379v1
	Exponential decay and geometric aspect of transition probabilities in the adiabatic limit Alain Joye , H. Kunz , Charles-Edouard Pfister Annals of Physics, 1991, 208 (1), pp.251. ⟨10.1016/0003-4916(91)90346-A⟩ Article dans une revue hal-01205366v1

	Open Quantum Systems III Stéphane Attal , Alain Joye , Claude-Alain Pillet Springer/Lecture Notes in Mathematics 1882, pp.1-292, 2006, ⟨10.1007/b128453⟩ Ouvrages hal-00128866v1
	"Mathematical Physics of Quantum Mechanics", Selected and Refereed Lectures from QMath9 Joachim Asch , Alain Joye Springer, 690, pp.1-485, 2006, Lecture Notes in Physics, 978-3-540-31026-6 Ouvrages hal-00348748v1
	Open Quantum Systems I Stéphane Attal , Alain Joye , Claude-Alain Pillet Springer/Lecture Notes in Mathematics 1880, pp.1-329, 2006, 978-3-540-30991-8. ⟨10.1007/b128449⟩ Ouvrages hal-01588821v1
	Open Quantum Systems II Stéphane Attal , Alain Joye , Claude-Alain Pillet Springer/Lecture Notes in Mathematics 1881, pp.1-220, 2006, ⟨10.1007/b128451⟩ Ouvrages hal-00128865v1

	Random Phase Infinite Coherent States: Construction and Dynamics Alain Joye , Marco Merkli Federico Bonetto, David Borthwick, Evans Harrell and Michael Loss. Mathematical Problems in Quantum Physics, 717, American Mathematical Society, 2018, Contemporary Mathematics, 978-1-4704-3681-0 Chapitre d'ouvrage hal-01990458v1
	Dynamical Localization of Random Quantum Walks on the Lattice Alain Joye A. Jensen. XVIIth International Congress on Mathematical Physics, Aalborg, Denmark, 6-11 Au- gust 2012, World Scientific, pp.486-494, 2013 Chapitre d'ouvrage hal-00954347v1
	Non-adiabatic transitions in a simple Born-Oppenheimer scattering system George A. Hagedorn , Alain Joye P. Exner. Mathematical Results in Quantum Physics, Proceedings of the QMath11 Conference, World Scientific, pp.208-212, 2011 Chapitre d'ouvrage hal-00954348v1
	Repeated Interaction Quantum Systems: Deterministic and Random Alain Joye "Mathematical Results in Quantum Mechanics", Proceedings of the QMath10 Conference, World Scientific, pp.169-189, 2008 Chapitre d'ouvrage hal-00348754v1
	Mathematical Analysis of Born-Oppenheimer Approximations George A. Hagedorn , Alain Joye Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday, AMS Proceedings of Symposia in Pure Mathematics, 76, pp.203-226, 2007 Chapitre d'ouvrage hal-00348753v1
	Introduction to the Theory of Linear Operators Alain Joye Open Quantum Systems I, Springer Lecture Notes in Mathematics, 1880, pp.1-40, 2006 Chapitre d'ouvrage hal-00348750v1
	Introduction to Quantum Statistical Mechanics Alain Joye Open Quantum Systems I, Springer Lecture Notes in Mathematics, 1880, pp.41-67, 2006 Chapitre d'ouvrage hal-00348749v1

	The Adiabatic Wigner-Weisskopf Model Alain Joye , Marco Merkli 2022 Pré-publication, Document de travail hal-03832771v1
	Localization Properties of the Chalker-Coddington Model Joachim Asch , Olivier Bourget , Alain Joye 2010 Pré-publication, Document de travail hal-00449497v1

Alain Joye

Publications

Adiabatic Lindbladian Evolution with Small Dissipators

Fermionic walkers driven out of equilibrium

Perturbation Analysis of Quantum Reset Models

Adiabatic transitions in a two-level system coupled to a free Boson reservoir

A Nonlinear Quantum Adiabatic Approximation

On stable quantum currents

Chirality induced interface currents in the Chalker–Coddington model

Lower Bounds on the Localisation Length of Balanced Random Quantum Walks

Landauer's Principle for Trajectories of Repeated Interaction Systems

Thermalization of Fermionic Quantum Walkers

Landauer's Principle in Repeated Interaction Systems

Density of States for Random Contractions

Representations of canonical commutation relations describing infinite coherent states

Spectral Properties of Non-Unitary Band Matrices

Spectral Stability of Unitary Network Models

Repeated interactions in open quantum systems

Spectral Properties of Quantum Walks on Rooted Binary Trees

Spectral Transition for Random Quantum Walks on Trees

Dynamical Localization for d-Dimensional Random Quantum Walks

Correlated Markov Quantum Walks

Dynamical Localization of the Chalker-Coddington Model far from Transition

Random Time-Dependent Quantum Walks

Random Unitary Models and their Localization Properties

Dynamical Localization of Quantum Walks in Random Environments

Abstract adiabatic charge pumping

Tunneling dynamics and spawning with adaptive semi-classical wave-packets

Exponentially Accurate Semiclassical Tunneling Wave Functions in One Dimension

Repeated and continuous interactions in open quantum systems

Infinite products of random matrices and repeated interaction quantum dynamics

A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds II: The Non--Symmetric Case

Dynamical Localization for Unitary Anderson Models

A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds

Emergence of exponentially small reflected waves

Non-abelian superconducting pumps

Random Repeated Interaction Quantum Systems

The Langevin Equation for a Quantum Heat Bath

Vibrational Levels Associated with Hydrogen Bonds and Semiclassical Hamiltonian Normal Forms

Weak Coupling and Continuous Limits for Repeated Quantum Interactions

General Adiabatic Evolution with a Gap Condition

A Mathematical Theory for Vibrational Levels Associated with Hydrogen Bonds I: The Symmetric Case

Semi-classical determination of exponentially small intermode transitions for $1+1$ space-time scattering systems

Recent Results on Non--Adiabatic Transitions in Quantum Mechanics

Localization for Random Unitary Operators

Asymptotics of repeated interaction quantum systems

Determination of Non-Adiabatic Scattering Wave Functions in a Born-Oppenheimer Model

Fractional Moment Estimates for Random Unitary Operators

Time Development of Exponentially Small Non-Adiabatic Transitions

Density of States and Thouless Formula for Random Unitary Band Matrices

Spectral Analysis of Unitary Band Matrices

Elementary Exponential Error Estimates for the Adiabatic Approximation

Avoided crossings in mesoscopic systems: Electron propagation on a nonuniform magnetic cylinder

A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates

Magnetic transport in a straight parabolic channel

Complex WKB method for 3-level scattering systems

Exponentially Accurate Semiclassical Dynamics: Propagation, Localization, Ehrenfest Times, Scattering, and More General States

Molecular Propagation through small Avoided Crossings of Electron Energy Levels

Edge currents in the absence of edges

Adiabatic evolution for systems with infinitely many eigenvalue crossings

Semiclassical Dynamics with Exponentially Small Error Estimates

Expectation Values of Observables in Time-Dependent Quantum Mechanics

Landau-Zener transitions through small electronic eigenvalue gaps in the Born-Oppenheimer approximation

Exponential Asymptotics in a Singular Limit for n-Level Scattering Systems

Upper bounds for the energy expectation in time-dependent quantum mechanics

An adiabatic theorem for singularly perturbed hamiltonians

Semiclassical Asymptotics Beyond All Orders for Simple Scattering Systems

Proof of the Landau–Zener formula

Absence of absolutely continuous spectrum of Floquet operators

Non-trivial prefactors in adiabatic transition probabilities induced by high-order complex degeneracies

Non-Abelian geometric effect in quantum adiabatic transitions

Superadiabatic evolution and adiabatic transition probability between two nondegenerate levels isolated in the spectrum

Absence of geometrical correction to the Landau-Zener formula

Exponentially small adiabatic invariant for the Schrödinger equation

Interferences in adiabatic transition probabilities mediated by Stokes lines

Full asymptotic expansion of transition probabilities in the adiabatic limit

Exponential decay and geometric aspect of transition probabilities in the adiabatic limit

Open Quantum Systems III

"Mathematical Physics of Quantum Mechanics", Selected and Refereed Lectures from QMath9

Open Quantum Systems I