Edit Profile (opens in new tab) Grecchi, Vincenzo Compute Distance To: Compute Author ID: grecchi.vincenzo Published as: Grecchi, Vincenzo; Grecchi, V. Documents Indexed: 53 Publications since 1974 Co-Authors: 15 Co-Authors with 49 Joint Publications 375 Co-Co-Authors all top 5 Co-Authors 4 single-authored 21 Maioli, Marco 15 Sacchetti, Andrea 12 Graffi, Sandro 10 Caliceti, Emanuela 8 Martinez, André 4 Giachetti, Riccardo 2 Bentosela, François 2 Levoni, Sergio 2 Silverstone, Harris J. 1 Buslaev, Vladimir Savel’evich 1 Harrell, Evans M. II 1 Jona-Lasinio, Giovanni 1 Kovařík, Hynek 1 Simon, Barry 1 Sordoni, Vania all top 5 Serials 17 Communications in Mathematical Physics 9 Journal of Physics A: Mathematical and General 5 Journal of Mathematical Physics 4 Journal of Physics A: Mathematical and Theoretical 2 Asymptotic Analysis 2 Atti del Seminario Matematico e Fisico dell’Università di Modena 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Mathematics and Mechanics of Complex Systems 1 International Journal of Theoretical Physics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Algebra i Analiz 1 Annals of Physics 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Bollettino della Unione Matemàtica Italiana. Supplemento 1 St. Petersburg Mathematical Journal 1 Atti del Seminario Matematico e Fisico dell’ Università di Modena e Reggio Emilia all top 5 Fields 39 Quantum theory (81-XX) 18 Partial differential equations (35-XX) 16 Operator theory (47-XX) 9 Sequences, series, summability (40-XX) 7 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 2 Integral transforms, operational calculus (44-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 207 times in 134 Documents Cited by ▼ Year ▼ Equivalence of unstable anharmonic oscillators and double wells. Zbl 0817.47077Buslaev, Vladimir; Grecchi, Vincenzo 43 1993 The 1/R expansion for \(H^ +_ 2:\) analyticity, summability, and asymptotics. Zbl 0614.46068Graffi, S.; Grecchi, Vincenzo; Harrell, E. M. II; Silverstone, H. J. 15 1985 Borel summability and indeterminacy of the Stieltjes moment. Zbl 0432.40007Graffi, S.; Grecchi, V. 13 1978 Resonances in the Stark effect of atomic systems. Zbl 0493.35034Graffi, S.; Grecchi, V. 13 1981 Stark Wannier ladders. Zbl 0743.35053Bentosela, F.; Grecchi, Vincenzo 9 1991 Destruction of the beating effect for a nonlinear Schrödinger equation. Zbl 1001.81011Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea 9 2002 The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields. Zbl 0648.40007Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco 9 1986 Stark resonances: Asymptotics and distributional Borel sum. Zbl 0785.35082Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco 8 1993 Resonances in one-dimensional Stark effect and continued fractions. Zbl 0443.34022Graffi, S.; Grecchi, V.; Levoni, S.; Maioli, M. 6 1979 Tunnelling instability via perturbation theory. Zbl 0559.35078Graffi, S.; Grecchi, V.; Jona-Lasinio, G. 6 1984 Padé summability of the cubic oscillator. Zbl 1179.81073Grecchi, Vincenzo; Maioli, Marco; Martinez, André 6 2009 Erratum. The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields. Zbl 0656.40010Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco 6 1987 Complete separability of the Stark problem in hydrogen. Zbl 0441.35065Graffi, S.; Grecchi, V.; Simon, B. 5 1979 Wannier ladders and perturbation theory. Zbl 0772.34059Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 5 1993 Nonlinear Stark effect and molecular localization. Zbl 0813.35094Grecchi, Vincenzo; Martinez, André 5 1995 Stark resonances in disordered systems. Zbl 0770.47030Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 5 1992 The spectrum of the cubic oscillator. Zbl 1268.81073Grecchi, Vincenzo; Martinez, André 5 2013 Lifetime of the Wannier-Stark resonances and perturbation theory. Zbl 0899.35086Grecchi, Vincenzo; Sacchetti, Andrea 5 1997 Double wells: Nevanlinna analyticity, distributional Borel sum and asymptotics. Zbl 0840.35087Caliceti, E.; Grecchi, V.; Maioli, M. 4 1996 Double wells: Perturbation series summable to the eigenvalues and directly computable approximations. Zbl 0645.35071Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco 4 1987 Stark ladders of resonances: Wannier ladders and perturbation theory. Zbl 0808.35114Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 3 1994 Borel summability beyond the factorial growth. Zbl 0551.40009Grecchi, V.; Maioli, M. 3 1984 Matrix moment methods in perturbation theory, boson quantum field models, and anharmonic oscillators. Zbl 0324.47010Graffi, S.; Grecchi, V. 3 1974 Level crossings in a \(PT\)-symmetric double well. Zbl 1343.81089Giachetti, Riccardo; Grecchi, Vincenzo 2 2016 The top resonances of the cubic oscillator. Zbl 1204.81053Grecchi, Vincenzo; Maioli, Marco; Martinez, André 2 2010 Critical metastability and destruction of the splitting in non-autonomous systems. Zbl 0987.81028Grecchi, Vincenzo; Sacchetti, Andrea 2 2001 Generalized logarithmic Borel summability. Zbl 0562.40006Grecchi, V.; Maioli, M. 2 1984 The exponential anharmonic oscillator and the Stieltjes continued fraction. Zbl 0581.34020Caliceti, E.; Grecchi, V.; Levoni, S.; Maioli, M. 2 1985 Resonances in the Klein-Gordon theory of the relativistic Stark effect. Zbl 0463.47028Graffi, S.; Grecchi, V.; Maioli, M. 1 1980 Localization of the states of a \(PT\)-symmetric double well. Zbl 1329.81168Giachetti, Riccardo; Grecchi, Vincenzo 1 2015 \(PT\)-symmetric operators and metastable states of the 1D relativistic oscillators. Zbl 1211.81054Giachetti, Riccardo; Grecchi, Vincenzo 1 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 Wannier-Bloch oscillators. Zbl 0922.34073Grecchi, Vincenzo; Sacchetti, Andrea 1 1998 Analyticity and asymptotics for the Stark-Wannier states. Zbl 0655.46059Bentosela, F.; Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 1 1988 Resonances and convergence of perturbation theory for N-body atomic systems in external AC-electric field. Zbl 0594.46065Graffi, S.; Grecchi, V.; Silverstone, H. J. 1 1985 Level crossings in a \(PT\)-symmetric double well. Zbl 1343.81089Giachetti, Riccardo; Grecchi, Vincenzo 2 2016 Localization of the states of a \(PT\)-symmetric double well. Zbl 1329.81168Giachetti, Riccardo; Grecchi, Vincenzo 1 2015 The spectrum of the cubic oscillator. Zbl 1268.81073Grecchi, Vincenzo; Martinez, André 5 2013 \(PT\)-symmetric operators and metastable states of the 1D relativistic oscillators. Zbl 1211.81054Giachetti, Riccardo; Grecchi, Vincenzo 1 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 The top resonances of the cubic oscillator. Zbl 1204.81053Grecchi, Vincenzo; Maioli, Marco; Martinez, André 2 2010 Padé summability of the cubic oscillator. Zbl 1179.81073Grecchi, Vincenzo; Maioli, Marco; Martinez, André 6 2009 Destruction of the beating effect for a nonlinear Schrödinger equation. Zbl 1001.81011Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea 9 2002 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 Lifetime of the Wannier-Stark resonances and perturbation theory. Zbl 0899.35086Grecchi, Vincenzo; Sacchetti, Andrea 5 1997 Double wells: Nevanlinna analyticity, distributional Borel sum and asymptotics. Zbl 0840.35087Caliceti, E.; Grecchi, V.; Maioli, M. 4 1996 Nonlinear Stark effect and molecular localization. Zbl 0813.35094Grecchi, Vincenzo; Martinez, André 5 1995 Stark ladders of resonances: Wannier ladders and perturbation theory. Zbl 0808.35114Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 3 1994 Equivalence of unstable anharmonic oscillators and double wells. Zbl 0817.47077Buslaev, Vladimir; Grecchi, Vincenzo 43 1993 Stark resonances: Asymptotics and distributional Borel sum. Zbl 0785.35082Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco 8 1993 Wannier ladders and perturbation theory. Zbl 0772.34059Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 5 1993 Stark resonances in disordered systems. Zbl 0770.47030Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 5 1992 Stark Wannier ladders. Zbl 0743.35053Bentosela, F.; Grecchi, Vincenzo 9 1991 Analyticity and asymptotics for the Stark-Wannier states. Zbl 0655.46059Bentosela, F.; Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco; Sacchetti, Andrea 1 1988 Erratum. The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields. Zbl 0656.40010Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco 6 1987 Double wells: Perturbation series summable to the eigenvalues and directly computable approximations. Zbl 0645.35071Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco 4 1987 The distributional Borel summability and the large coupling \(\Phi ^ 4\) lattice fields. Zbl 0648.40007Caliceti, Emanuela; Grecchi, Vincenzo; Maioli, Marco 9 1986 The 1/R expansion for \(H^ +_ 2:\) analyticity, summability, and asymptotics. Zbl 0614.46068Graffi, S.; Grecchi, Vincenzo; Harrell, E. M. II; Silverstone, H. J. 15 1985 The exponential anharmonic oscillator and the Stieltjes continued fraction. Zbl 0581.34020Caliceti, E.; Grecchi, V.; Levoni, S.; Maioli, M. 2 1985 Resonances and convergence of perturbation theory for N-body atomic systems in external AC-electric field. Zbl 0594.46065Graffi, S.; Grecchi, V.; Silverstone, H. J. 1 1985 Tunnelling instability via perturbation theory. Zbl 0559.35078Graffi, S.; Grecchi, V.; Jona-Lasinio, G. 6 1984 Borel summability beyond the factorial growth. Zbl 0551.40009Grecchi, V.; Maioli, M. 3 1984 Generalized logarithmic Borel summability. Zbl 0562.40006Grecchi, V.; Maioli, M. 2 1984 Resonances in the Stark effect of atomic systems. Zbl 0493.35034Graffi, S.; Grecchi, V. 13 1981 Resonances in the Klein-Gordon theory of the relativistic Stark effect. Zbl 0463.47028Graffi, S.; Grecchi, V.; Maioli, M. 1 1980 Resonances in one-dimensional Stark effect and continued fractions. Zbl 0443.34022Graffi, S.; Grecchi, V.; Levoni, S.; Maioli, M. 6 1979 Complete separability of the Stark problem in hydrogen. Zbl 0441.35065Graffi, S.; Grecchi, V.; Simon, B. 5 1979 Borel summability and indeterminacy of the Stieltjes moment. Zbl 0432.40007Graffi, S.; Grecchi, V. 13 1978 Matrix moment methods in perturbation theory, boson quantum field models, and anharmonic oscillators. Zbl 0324.47010Graffi, S.; Grecchi, V. 3 1974 all cited Publications top 5 cited Publications all top 5 Cited by 164 Authors 14 Znojil, Miloslav 10 Grecchi, Vincenzo 10 Sacchetti, Andrea 7 Caliceti, Emanuela 6 Maioli, Marco 5 Briet, Philippe 5 Golovina, Anastasiya Mihajlovna 5 Mazharimousavi, S. Habib 5 Mustafa, Omar 5 Simon, Barry 5 Weniger, Ernst Joachim 4 Exner, Pavel 3 Borisov, Denis Ivanovich 3 Cannata, Francesco 3 Duclos, Pierre 3 Giachetti, Riccardo 3 Graffi, Sandro 3 Helffer, Bernard 3 Jakubský, Vít 3 Zinn-Justin, Jean 2 Asch, Joachim 2 Bagchi, Bijan Kumar 2 Banerjee, Abhijit 2 Bentosela, François 2 Breen, Stephen 2 Combes, Jean-Michel 2 Figari, Rodolfo 2 Fukuizumi, Reika 2 Geyer, Hendrik B. 2 Graf, Gian Michele 2 Herbst, Ira W. 2 Jentschura, Ulrich D. 2 Lévai, Géza 2 Martinez, André 2 Nenciu, Gheorghe 2 Quesne, Christiane 2 Rivers, Ray J. 2 Sever, Ramazan 2 Wang, Xueping 1 Ahmed, Zafar 1 Aktaş, Metin 1 Almog, Yaniv 1 Álvarez, Gabriel 1 Andrianov, Alexander A. 1 Anjos, Rita C. 1 Aschbacher, Walter H. 1 Avron, Joseph E. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bambusi, Dario 1 Bartuccelli, Michele V. 1 Bender, Carl M. 1 Berezovoj, Victor P. 1 Bianchini, Roberta 1 Bíla, Hynek 1 Boenkost, Wolfram 1 Borghi, Riccardo 1 Budylin, A. M. 1 Buslaev, Vladimir Savel’evich 1 Cardin, Franco 1 Carles, Rémi 1 Carlone, Raffaele 1 Cherubini, Anna Maria 1 Čížek, Jiří 1 Coimbra-Araújo, Carlos H. 1 Constantinescu, Florin 1 Correggi, Michele 1 Daumer, Franck 1 Deane, Jonathan H. B. 1 Della Casa, Filippo F. G. 1 Dell’Antonio, Gian Fausto 1 Denk, Hans 1 Dmitrieva, L. A. 1 Duan, Yishi 1 Eder, Krzysztof 1 Faraj, Ali 1 Faridfathi, Gholamreza 1 Fernández, Francisco Marcelo 1 Freitas, Gisele B. 1 Fring, Andreas 1 Froese, Richard 1 Fröhlich, Jürg Martin 1 Gavioli, Andrea 1 Gentile, Guido 1 Ghosh, Dona 1 Giordanelli, Ilario 1 Glück, Markus 1 Gomez, Francisco J. 1 Gosse, Laurent 1 Graves-Morris, Peter R. 1 Grigis, Alain 1 Guiotto, Paolo 1 Henry, Raphaël 1 Hislop, Peter D. 1 Ioffe, Mikhail V. 1 Jones, Hugh F. 1 Kamenshchik, Aleksandr Yur’evich 1 Kolovsky, Andrey R. 1 Komech, Alexander Ilich 1 Konarski, Jerzy 1 Konchatnij, Mikhail I. ...and 64 more Authors all top 5 Cited in 48 Serials 22 Journal of Mathematical Physics 15 Communications in Mathematical Physics 12 International Journal of Theoretical Physics 7 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Modern Physics Letters A 5 Journal of Statistical Physics 5 Czechoslovak Journal of Physics 4 Journal of Mathematical Chemistry 3 Journal of Mathematical Analysis and Applications 3 Physics Letters. A 3 Physica D 3 Applied Numerical Mathematics 3 Annales Henri Poincaré 2 International Journal of Modern Physics A 2 Journal of Computational and Applied Mathematics 2 Journal of Functional Analysis 2 International Journal of Modern Physics D 2 St. Petersburg Mathematical Journal 2 Journal of High Energy Physics 2 Bulletin of Mathematical Sciences 1 Archive for Rational Mechanics and Analysis 1 Journal of Engineering Mathematics 1 Nuclear Physics. B 1 Physics Reports 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Fortschritte der Physik 1 Annales de l’Institut Fourier 1 Journal of Approximation Theory 1 Journal of Soviet Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Transactions of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Acta Mathematica Sinica. New Series 1 Russian Journal of Mathematical Physics 1 Doklady Mathematics 1 Regular and Chaotic Dynamics 1 Physical Review Letters 1 Multiscale Modeling & Simulation 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics 1 Communications in Computational Physics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Symmetry 1 Journal of Statistical Distributions and Applications all top 5 Cited in 26 Fields 102 Quantum theory (81-XX) 42 Partial differential equations (35-XX) 20 Ordinary differential equations (34-XX) 19 Operator theory (47-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Numerical analysis (65-XX) 5 Sequences, series, summability (40-XX) 5 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year