Edit Profile (opens in new tab) Sacchetti, Andrea Compute Distance To: Compute Author ID: sacchetti.andrea Published as: Sacchetti, Andrea; Sacchetti, A. External Links: ORCID Documents Indexed: 58 Publications since 1988 Co-Authors: 15 Co-Authors with 33 Joint Publications 186 Co-Co-Authors all top 5 Co-Authors 25 single-authored 15 Grecchi, Vincenzo 13 Maioli, Marco 4 Martinez, André 3 Kovařík, Hynek 2 Bambusi, Dario 2 Fukuizumi, Reika 1 Adami, Riccardo 1 Barbieri, Margherita 1 Bentosela, François 1 Caliceti, Emanuela 1 Della Casa, Filippo F. G. 1 Gavioli, Andrea 1 Lodi, Daniele 1 Losi, Alessandra 1 Sordoni, Vania all top 5 Serials 12 Journal of Physics A: Mathematical and General 6 Communications in Mathematical Physics 6 Journal of Physics A: Mathematical and Theoretical 5 Journal of Statistical Physics 4 Physica D 2 Journal of Computational Physics 2 Physics Letters. A 2 Asymptotic Analysis 2 SIAM Journal on Mathematical Analysis 1 Inverse Problems 1 Journal of Mathematical Physics 1 Nonlinearity 1 Ricerche di Matematica 1 Applied Mathematics Letters 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Historia Mathematica 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Dynamics of Partial Differential Equations 1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I all top 5 Fields 49 Quantum theory (81-XX) 34 Partial differential equations (35-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Operator theory (47-XX) 8 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 125 times in 71 Documents Cited by ▼ Year ▼ Nonlinear double well Schrödinger equations in the semiclassical limit. Zbl 1096.82014Sacchetti, Andrea 11 2005 Destruction of the beating effect for a nonlinear Schrödinger equation. Zbl 1001.81011Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea 9 2002 Bifurcation and stability for nonlinear Schrödinger equations with double well potential in the semiclassical limit. Zbl 1252.82017Fukuizumi, Reika; Sacchetti, Andrea 9 2011 The transition from diffusion to blow-up for a nonlinear Schrödinger equation in dimension 1. Zbl 1084.35081Adami, Riccardo; Sacchetti, Andrea 9 2005 Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential. Zbl 1134.35097Bambusi, Dario; Sacchetti, Andrea 9 2007 Resonances in twisted quantum waveguides. Zbl 1117.81057Kovařík, Hynek; Sacchetti, Andrea 7 2007 Stationary states for nonlinear Schrödinger equations with periodic potentials. Zbl 1302.35347Fukuizumi, Reika; Sacchetti, Andrea 6 2014 Spectral splitting method for nonlinear Schrödinger equations with singular potential. Zbl 1130.65102Sacchetti, Andrea 6 2007 Wannier ladders and perturbation theory. Zbl 0772.34059Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 5 1993 Lifetime of the Wannier-Stark resonances and perturbation theory. Zbl 0899.35086Grecchi, Vincenzo; Sacchetti, Andrea 5 1997 Stark resonances in disordered systems. Zbl 0770.47030Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 5 1992 Nonlinear time-dependent one-dimensional Schrödinger equation with double-well potential. Zbl 1061.35138Sacchetti, Andrea 4 2004 Stark ladders of resonances: Wannier ladders and perturbation theory. Zbl 0808.35114Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 3 1994 Nonlinear time-dependent Schrödinger equations: the Gross-Pitaevskii equation with double-well potential. Zbl 1064.35194Sacchetti, Andrea 3 2004 Nonlinear Schrödinger equations with multiple-well potential. Zbl 1253.35164Sacchetti, Andrea 3 2012 Absence of the absolutely continuous spectrum for Stark-Bloch operators with strongly singular periodic potentials. Zbl 0854.47033Maioli, Marco; Sacchetti, Andrea 3 1995 Nonlinear Stark-Wannier equation. Zbl 1405.35200Sacchetti, Andrea 2 2018 Stationary states for non linear one-dimensional Schrödinger equations with singular potential. Zbl 1200.35287Della Casa, Filippo F. G.; Sacchetti, Andrea 2 2006 Stationary solutions to the multi-dimensional Gross-Pitaevskii equation with double-well potential. Zbl 1304.35653Sacchetti, Andrea 2 2014 Solution to the double-well nonlinear Schrödinger equation with Stark-type external field. Zbl 1308.35279Sacchetti, Andrea 2 2015 Two level system driven by a stochastic perturbation. Zbl 1088.82015Maioli, Marco; Sacchetti, Andrea 2 2005 Dynamical localization criterion for driven two-level systems. Zbl 0993.81074Sacchetti, Andrea 2 2001 Critical metastability and destruction of the splitting in non-autonomous systems. Zbl 0987.81028Grecchi, Vincenzo; Sacchetti, Andrea 2 2001 Stability of spectral eigenspaces in nonlinear Schrödinger equations. Zbl 1132.35473Bambusi, Dario; Sacchetti, Andrea 2 2007 A nonlinear Schrödinger equation with two symmetric point interactions in one dimension. Zbl 1189.35310Kovařík, Hynek; Sacchetti, Andrea 2 2010 Wannier-Bloch oscillators. Zbl 0922.34073Grecchi, Vincenzo; Sacchetti, Andrea 1 1998 Erratum: Absence of the absolutely continuous spectrum for Stark-Bloch operators with strongly singular periodic potentials. Zbl 0933.47031Maioli, Marco; Sacchetti, Andrea 1 1998 Singular continuous spectrum in a class of random Schrödinger operators. Zbl 0770.60064Barbieri, Margherita; Maioli, Marco; Sacchetti, Andrea 1 1993 Dynamical localization for two-level systems periodically driven. Zbl 1065.81142Lodi, Daniele; Maioli, Marco; Sacchetti, Andrea 1 2005 Accelerated Bose-Einstein condensates in a double-well potential. Zbl 1349.82164Sacchetti, Andrea 1 2016 Analyticity and asymptotics for the Stark-Wannier states. Zbl 0655.46059Bentosela, F.; Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 1 1988 Existence of the Stark-Wannier quantum resonances. Zbl 1303.81079Sacchetti, Andrea 1 2014 Resonant states for a three-body problem under an external field. Zbl 1306.81038Grecchi, Vincenzo; Kovařík, Hynek; Martinez, André; Sacchetti, Andrea; Sordoni, Vania 1 2011 Derivation of the tight-binding approximation for time-dependent nonlinear Schrödinger equations. Zbl 1435.35327Sacchetti, Andrea 1 2020 Nonlinear Schrödinger equations with a multiple-well potential and a Stark-type perturbation. Zbl 1364.35339Sacchetti, Andrea 1 2016 Derivation of the tight-binding approximation for time-dependent nonlinear Schrödinger equations. Zbl 1435.35327Sacchetti, Andrea 1 2020 Nonlinear Stark-Wannier equation. Zbl 1405.35200Sacchetti, Andrea 2 2018 Accelerated Bose-Einstein condensates in a double-well potential. Zbl 1349.82164Sacchetti, Andrea 1 2016 Nonlinear Schrödinger equations with a multiple-well potential and a Stark-type perturbation. Zbl 1364.35339Sacchetti, Andrea 1 2016 Solution to the double-well nonlinear Schrödinger equation with Stark-type external field. Zbl 1308.35279Sacchetti, Andrea 2 2015 Stationary states for nonlinear Schrödinger equations with periodic potentials. Zbl 1302.35347Fukuizumi, Reika; Sacchetti, Andrea 6 2014 Stationary solutions to the multi-dimensional Gross-Pitaevskii equation with double-well potential. Zbl 1304.35653Sacchetti, Andrea 2 2014 Existence of the Stark-Wannier quantum resonances. Zbl 1303.81079Sacchetti, Andrea 1 2014 Nonlinear Schrödinger equations with multiple-well potential. Zbl 1253.35164Sacchetti, Andrea 3 2012 Bifurcation and stability for nonlinear Schrödinger equations with double well potential in the semiclassical limit. Zbl 1252.82017Fukuizumi, Reika; Sacchetti, Andrea 9 2011 Resonant states for a three-body problem under an external field. Zbl 1306.81038Grecchi, Vincenzo; Kovařík, Hynek; Martinez, André; Sacchetti, Andrea; Sordoni, Vania 1 2011 A nonlinear Schrödinger equation with two symmetric point interactions in one dimension. Zbl 1189.35310Kovařík, Hynek; Sacchetti, Andrea 2 2010 Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential. Zbl 1134.35097Bambusi, Dario; Sacchetti, Andrea 9 2007 Resonances in twisted quantum waveguides. Zbl 1117.81057Kovařík, Hynek; Sacchetti, Andrea 7 2007 Spectral splitting method for nonlinear Schrödinger equations with singular potential. Zbl 1130.65102Sacchetti, Andrea 6 2007 Stability of spectral eigenspaces in nonlinear Schrödinger equations. Zbl 1132.35473Bambusi, Dario; Sacchetti, Andrea 2 2007 Stationary states for non linear one-dimensional Schrödinger equations with singular potential. Zbl 1200.35287Della Casa, Filippo F. G.; Sacchetti, Andrea 2 2006 Nonlinear double well Schrödinger equations in the semiclassical limit. Zbl 1096.82014Sacchetti, Andrea 11 2005 The transition from diffusion to blow-up for a nonlinear Schrödinger equation in dimension 1. Zbl 1084.35081Adami, Riccardo; Sacchetti, Andrea 9 2005 Two level system driven by a stochastic perturbation. Zbl 1088.82015Maioli, Marco; Sacchetti, Andrea 2 2005 Dynamical localization for two-level systems periodically driven. Zbl 1065.81142Lodi, Daniele; Maioli, Marco; Sacchetti, Andrea 1 2005 Nonlinear time-dependent one-dimensional Schrödinger equation with double-well potential. Zbl 1061.35138Sacchetti, Andrea 4 2004 Nonlinear time-dependent Schrödinger equations: the Gross-Pitaevskii equation with double-well potential. Zbl 1064.35194Sacchetti, Andrea 3 2004 Destruction of the beating effect for a nonlinear Schrödinger equation. Zbl 1001.81011Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea 9 2002 Dynamical localization criterion for driven two-level systems. Zbl 0993.81074Sacchetti, Andrea 2 2001 Critical metastability and destruction of the splitting in non-autonomous systems. Zbl 0987.81028Grecchi, Vincenzo; Sacchetti, Andrea 2 2001 Wannier-Bloch oscillators. Zbl 0922.34073Grecchi, Vincenzo; Sacchetti, Andrea 1 1998 Erratum: Absence of the absolutely continuous spectrum for Stark-Bloch operators with strongly singular periodic potentials. Zbl 0933.47031Maioli, Marco; Sacchetti, Andrea 1 1998 Lifetime of the Wannier-Stark resonances and perturbation theory. Zbl 0899.35086Grecchi, Vincenzo; Sacchetti, Andrea 5 1997 Absence of the absolutely continuous spectrum for Stark-Bloch operators with strongly singular periodic potentials. Zbl 0854.47033Maioli, Marco; Sacchetti, Andrea 3 1995 Stark ladders of resonances: Wannier ladders and perturbation theory. Zbl 0808.35114Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 3 1994 Wannier ladders and perturbation theory. Zbl 0772.34059Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 5 1993 Singular continuous spectrum in a class of random Schrödinger operators. Zbl 0770.60064Barbieri, Margherita; Maioli, Marco; Sacchetti, Andrea 1 1993 Stark resonances in disordered systems. Zbl 0770.47030Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 5 1992 Analyticity and asymptotics for the Stark-Wannier states. Zbl 0655.46059Bentosela, F.; Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 103 Authors 17 Sacchetti, Andrea 4 Briet, Philippe 4 Maioli, Marco 3 Carles, Rémi 3 Exner, Pavel 3 Grecchi, Vincenzo 2 Alfimov, Georgiĭ Leonidovich 2 Asch, Joachim 2 Banica, Valeria 2 Bentosela, François 2 Duclos, Pierre 2 Fukuizumi, Reika 2 Goodman, Roy H. 2 Kizin, Pavel Pavlovich 2 Korsch, Hans Jürgen 2 Krejčiřík, David 2 Pelinovsky, Dmitry Efimovich 2 Shieh, Shih-Feng 2 Verri, Alessandra A. 2 Zanelli, Lorenzo 2 Zezyulin, Dmitry A. 1 Abuabara, Sabas G. 1 Adami, Riccardo 1 Hernandez Ardila, Alex 1 Avron, Joseph E. 1 Bambusi, Dario 1 Barata, João C. A. 1 Batista, Victor S. 1 Borisov, Denis Ivanovich 1 Borzì, Alfio 1 Bouharguane, Afaf 1 Bourget, Olivier 1 Bruneau, Vincent 1 Buslaev, Vladimir Savel’evich 1 Caliceti, Emanuela 1 Cardin, Franco 1 Cardone, Giuseppe 1 Carlone, Raffaele 1 Chen, Yaming 1 Christ, Michael 1 Cortez, Daniel A. 1 Courdurier, Matias 1 de Oliveira, César R. 1 Dehghan Takht Fooladi, Mehdi 1 del Río Castillo, Rafael René 1 Della Casa, Filippo F. G. 1 Deng, Xiaogang 1 Didas, Stephan 1 Duits, Remco 1 Faraj, Ali 1 Fermanian-Kammerer, Clotilde 1 Fernández, Claudio A. 1 Figari, Rodolfo 1 Frinkle, Karl H. 1 Gavioli, Andrea 1 Glück, Markus 1 Grigis, Alain 1 Guiotto, Paolo 1 Hammedi, Hiba 1 Hannink, J. 1 Ianni, Isabella 1 Janssen, M. H. J. 1 Kiselev, Alexander A. 1 Kolovsky, Andrey R. 1 Korotyaev, Evgeny L. 1 Kuo, Yueh-Cheng 1 Landsman, Nicolaas P. 1 Last, Yoram 1 Le Coz, Stefan 1 Li, Da-Li 1 Lin, Wen-Wei 1 Martinez, André 1 Michelangeli, Alessandro 1 Miranda, Pablo L. 1 Mustapha, K. B. 1 Negulescu, Claudia 1 Nenciu, Gheorghe 1 Noja, Diego 1 Olgiati, Alessandro 1 Phan, Tuoc Van 1 Picari, E. 1 Ponno, Antonio 1 Popoff, Nicolas 1 Rapedius, Kevin 1 Rego, Luis G. C. 1 Reuvers, Robin 1 Royer, Julien 1 Safronov, Oleg 1 Sanguinetti, G. R. 1 Scandone, Raffaele 1 Schneider, Guido 1 Schultz, Thomas 1 Sordoni, Vania 1 Šťovíček, Pavel 1 Taleei, Ameneh 1 Visciglia, Nicola 1 Wang, Weichung 1 Wintergerst, Maximilian W. M. 1 Witthaut, Dirk 1 Wreszinski, Walter F. ...and 3 more Authors all top 5 Cited in 38 Serials 9 Journal of Mathematical Physics 6 Communications in Mathematical Physics 6 Physica D 5 Journal of Statistical Physics 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Mathematical Imaging and Vision 2 Annales Henri Poincaré 2 Journal of Nonlinear Mathematical Physics 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Letters in Mathematical Physics 1 Physics Reports 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Discrete and Continuous Dynamical Systems 1 Physical Review Letters 1 Journal of Modern Optics 1 Discrete and Continuous Dynamical Systems. Series B 1 Foundations of Physics 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Computational Physics 1 Communications in Theoretical Physics 1 Evolution Equations and Control Theory 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 Séminaire Laurent Schwartz. EDP et Applications all top 5 Cited in 21 Fields 50 Partial differential equations (35-XX) 43 Quantum theory (81-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Ordinary differential equations (34-XX) 11 Numerical analysis (65-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 3 Optics, electromagnetic theory (78-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year