Edit Profile Richard, Serge Compute Distance To: Compute Author ID: richard.serge Published as: Richard, S.; Richard, Serge Homepage: http://math.univ-lyon1.fr/~richard/ External Links: MGP · Wikidata Documents Indexed: 48 Publications since 2000 all top 5 Co-Authors 4 single-authored 17 Tiedra de Aldecoa, Rafael 8 Măntoiu, Marius Laurenţiu 7 Kellendonk, Johannes 4 Purice, Radu 3 Dereziński, Jan 3 Pankrashkin, Konstantin 2 Suzuki, Akito 2 Umeda, Tomio 1 Faupin, Jérémy 1 Fernández, Claudio A. 1 Inoue, Hideki 1 Isozaki, Hiroshi 1 Lein, Max 1 Nguyen, Quang Nhat 1 Uchiyama, Jun all top 5 Serials 5 Journal of Mathematical Physics 5 Annales Henri Poincaré 4 Letters in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Reviews in Mathematical Physics 2 Journal of Functional Analysis 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin de la Société Mathématique de France 1 Hokkaido Mathematical Journal 1 Integral Equations and Operator Theory 1 Proceedings of the Japan Academy. Series A 1 Journal of Physics A: Mathematical and General 1 Mathematical Physics Electronic Journal 1 Integral Transforms and Special Functions 1 International Journal of Geometric Methods in Modern Physics 1 Cubo 1 Journal of Noncommutative Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Asian-European Journal of Mathematics 1 Buletinul. Universităţii Petrol-Gaze din Ploieşti. Seria Matematică - Informatică - Fizică 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Advances in Operator Theory all top 5 Fields 41 Quantum theory (81-XX) 27 Operator theory (47-XX) 19 Partial differential equations (35-XX) 8 Functional analysis (46-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 42 Publications have been cited 242 times in 132 Documents Cited by ▼ Year ▼ Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework. Zbl 1173.46048Măntoiu, Marius; Purice, Radu; Richard, Serge 24 2007 Magnetic pseudodifferential operators with coefficients in \(C^*\)-algebras. Zbl 1205.35349Lein, Max; Măntoiu, Marius; Richard, Serge 16 2010 Commutator methods for unitary operators. Zbl 1290.47036Fernández, Claudio; Richard, Serge; Tiedra de Aldecoa, Rafael 12 2013 Spectral and scattering theory for the Aharonov-Bohm operators. Zbl 1230.81054Pankrashkin, Konstantin; Richard, Serge 12 2011 Topological boundary maps in physics. Zbl 1199.81029Kellendonk, Johannes; Richard, Serge 12 2008 Levinson’s theorem for Schrödinger operators with point interaction: a topological approach. Zbl 1105.81033Kellendonk, Johannes; Richard, Serge 11 2006 On the structure of the wave operators in one dimensional potential scattering. Zbl 1175.47010Kellendonk, Johannes; Richard, Serge 10 2008 Quantum walks with an anisotropic coin. I: Spectral theory. Zbl 1384.81033Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R. 9 2018 On Schrödinger operators with inverse square potentials on the half-line. Zbl 1370.81070Dereziński, Jan; Richard, Serge 8 2017 Some improvements in the method of the weakly conjugate operator. Zbl 1136.35428Richard, Serge 8 2006 Spectral and scattering theory for Schrödinger operators on perturbed topological crystals. Zbl 06899327Parra, D.; Richard, S. 7 2018 New formulae for the wave operators for a rank one interaction. Zbl 1206.47013Richard, Serge; Tiedra de Aldecoa, Rafael 7 2010 Spectral analysis for adjacency operators on graphs. Zbl 1137.81013Măntoiu, Marius; Richard, Serge; Tiedra de Aldecoa, Rafael 7 2007 One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results. Zbl 1298.81080Pankrashkin, Konstantin; Richard, Serge 6 2014 Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends. Zbl 1280.58021Richard, S.; Tiedra De Aldecoa, R. 6 2013 Levinson’s theorem and higher degree traces for Aharonov-Bohm operators. Zbl 1317.81106Kellendonk, Johannes; Pankrashkin, Konstantin; Richard, Serge 6 2011 On radial Schrödinger operators with a Coulomb potential. Zbl 1428.81077Dereziński, Jan; Richard, Serge 5 2018 A new formula relating localisation operators to time operators. Zbl 1294.47102Richard, S.; Tiedra de Aldecoa, R. 5 2012 On the wave operators for the Friedrichs-Faddeev model. Zbl 1251.81091Isozaki, Hiroshi; Richard, Serge 5 2012 On the wave operators and Levinson’s theorem for potential scattering in \({\mathbb{R}}^3\). Zbl 1253.81124Kellendonk, Johannes; Richard, Serge 5 2012 Weber-Schafheitlin-type integrals with exponent 1. Zbl 1163.33313Kellendonk, Johannes; Richard, Serge 5 2009 On the spectrum of magnetic Dirac operators with Coulomb-type perturbations. Zbl 1152.35080Richard, Serge; Tiedra de Aldecoa, Rafael 5 2007 Spectral and scattering theory for Schrödinger operators with Cartesian anisotropy. Zbl 1135.35056Richard, Serge 5 2005 Absence of singular spectrum for Schrödinger operators with anisotropic potentials and magnetic fields. Zbl 0987.81025Măntoiu, Marius; Richard, Serge 5 2000 Levinson’s theorem: an index theorem in scattering theory. Zbl 06981835Richard, S. 4 2016 New expressions for the wave operators of Schrödinger operators in \(\mathbb R^3\). Zbl 1273.81219Richard, S.; Tiedra de Aldecoa, R. 4 2013 Time delay is a common feature of quantum scattering theory. Zbl 1232.81053Richard, S.; Tiedra de Aldecoa, R. 4 2012 The topological meaning of Levinson’s theorem, half-bound states included. Zbl 1149.81325Kellendonk, Johannes; Richard, Serge 4 2008 Quantum walks with an anisotropic coin. II: Scattering theory. Zbl 1411.81215Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R. 3 2019 Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides. Zbl 1372.47004Richard, S.; Tiedra de Aldecoa, R. 3 2016 A few results on Mourre theory in a two-Hilbert spaces setting. Zbl 1283.81067Richard, S.; Tiedra de Aldecoa, R. 3 2013 Does Levinson’s theorem count complex eigenvalues? Zbl 1373.81215Nicoleau, F.; Parra, D.; Richard, S. 2 2017 Low energy spectral and scattering theory for relativistic Schrödinger operators. Zbl 1347.81072Richard, Serge; Umeda, Tomio 2 2016 Coherent states and pure state quantization in the presence of a variable magnetic field. Zbl 1210.81055Măntoiu, Marius; Purice, Radu; Richard, Serge 2 2011 On perturbations of Dirac operators with variable magnetic field of constant direction. Zbl 1064.81028Richard, Serge; Tiedra de Aldecoa, Rafael 2 2004 Minimal escape velocities for unitary evolution groups. Zbl 1060.81059Richard, Serge 2 2004 Commutator criteria for strong mixing. II. More general and simpler. Zbl 1441.22008Richard, S.; Tiedra de Aldecoa, R. 1 2019 Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. Zbl 1440.81039Inoue, Hideki; Richard, Serge 1 2019 Continuity of the spectra for families of magnetic operators on \(\mathbb Z^d\). Zbl 1353.81054Parra, D.; Richard, S. 1 2016 Schrödinger operators with \(n\) positive eigenvalues: an explicit construction involving complex-valued potentials. Zbl 1338.35308Richard, Serge; Uchiyama, Jun; Umeda, Tomio 1 2016 Explicit formulas for the Schrödinger wave operators in \(\mathbb R^2\). Zbl 1268.81152Richard, Serge; Tiedra de Aldecoa, Rafael 1 2013 New formulae for the Aharonov-Bohm wave operators. Zbl 1184.81062Richard, Serge 1 2009 Quantum walks with an anisotropic coin. II: Scattering theory. Zbl 1411.81215Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R. 3 2019 Commutator criteria for strong mixing. II. More general and simpler. Zbl 1441.22008Richard, S.; Tiedra de Aldecoa, R. 1 2019 Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. Zbl 1440.81039Inoue, Hideki; Richard, Serge 1 2019 Quantum walks with an anisotropic coin. I: Spectral theory. Zbl 1384.81033Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R. 9 2018 Spectral and scattering theory for Schrödinger operators on perturbed topological crystals. Zbl 06899327Parra, D.; Richard, S. 7 2018 On radial Schrödinger operators with a Coulomb potential. Zbl 1428.81077Dereziński, Jan; Richard, Serge 5 2018 On Schrödinger operators with inverse square potentials on the half-line. Zbl 1370.81070Dereziński, Jan; Richard, Serge 8 2017 Does Levinson’s theorem count complex eigenvalues? Zbl 1373.81215Nicoleau, F.; Parra, D.; Richard, S. 2 2017 Levinson’s theorem: an index theorem in scattering theory. Zbl 06981835Richard, S. 4 2016 Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides. Zbl 1372.47004Richard, S.; Tiedra de Aldecoa, R. 3 2016 Low energy spectral and scattering theory for relativistic Schrödinger operators. Zbl 1347.81072Richard, Serge; Umeda, Tomio 2 2016 Continuity of the spectra for families of magnetic operators on \(\mathbb Z^d\). Zbl 1353.81054Parra, D.; Richard, S. 1 2016 Schrödinger operators with \(n\) positive eigenvalues: an explicit construction involving complex-valued potentials. Zbl 1338.35308Richard, Serge; Uchiyama, Jun; Umeda, Tomio 1 2016 One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results. Zbl 1298.81080Pankrashkin, Konstantin; Richard, Serge 6 2014 Commutator methods for unitary operators. Zbl 1290.47036Fernández, Claudio; Richard, Serge; Tiedra de Aldecoa, Rafael 12 2013 Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends. Zbl 1280.58021Richard, S.; Tiedra De Aldecoa, R. 6 2013 New expressions for the wave operators of Schrödinger operators in \(\mathbb R^3\). Zbl 1273.81219Richard, S.; Tiedra de Aldecoa, R. 4 2013 A few results on Mourre theory in a two-Hilbert spaces setting. Zbl 1283.81067Richard, S.; Tiedra de Aldecoa, R. 3 2013 Explicit formulas for the Schrödinger wave operators in \(\mathbb R^2\). Zbl 1268.81152Richard, Serge; Tiedra de Aldecoa, Rafael 1 2013 A new formula relating localisation operators to time operators. Zbl 1294.47102Richard, S.; Tiedra de Aldecoa, R. 5 2012 On the wave operators for the Friedrichs-Faddeev model. Zbl 1251.81091Isozaki, Hiroshi; Richard, Serge 5 2012 On the wave operators and Levinson’s theorem for potential scattering in \({\mathbb{R}}^3\). Zbl 1253.81124Kellendonk, Johannes; Richard, Serge 5 2012 Time delay is a common feature of quantum scattering theory. Zbl 1232.81053Richard, S.; Tiedra de Aldecoa, R. 4 2012 Spectral and scattering theory for the Aharonov-Bohm operators. Zbl 1230.81054Pankrashkin, Konstantin; Richard, Serge 12 2011 Levinson’s theorem and higher degree traces for Aharonov-Bohm operators. Zbl 1317.81106Kellendonk, Johannes; Pankrashkin, Konstantin; Richard, Serge 6 2011 Coherent states and pure state quantization in the presence of a variable magnetic field. Zbl 1210.81055Măntoiu, Marius; Purice, Radu; Richard, Serge 2 2011 Magnetic pseudodifferential operators with coefficients in \(C^*\)-algebras. Zbl 1205.35349Lein, Max; Măntoiu, Marius; Richard, Serge 16 2010 New formulae for the wave operators for a rank one interaction. Zbl 1206.47013Richard, Serge; Tiedra de Aldecoa, Rafael 7 2010 Weber-Schafheitlin-type integrals with exponent 1. Zbl 1163.33313Kellendonk, Johannes; Richard, Serge 5 2009 New formulae for the Aharonov-Bohm wave operators. Zbl 1184.81062Richard, Serge 1 2009 Topological boundary maps in physics. Zbl 1199.81029Kellendonk, Johannes; Richard, Serge 12 2008 On the structure of the wave operators in one dimensional potential scattering. Zbl 1175.47010Kellendonk, Johannes; Richard, Serge 10 2008 The topological meaning of Levinson’s theorem, half-bound states included. Zbl 1149.81325Kellendonk, Johannes; Richard, Serge 4 2008 Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework. Zbl 1173.46048Măntoiu, Marius; Purice, Radu; Richard, Serge 24 2007 Spectral analysis for adjacency operators on graphs. Zbl 1137.81013Măntoiu, Marius; Richard, Serge; Tiedra de Aldecoa, Rafael 7 2007 On the spectrum of magnetic Dirac operators with Coulomb-type perturbations. Zbl 1152.35080Richard, Serge; Tiedra de Aldecoa, Rafael 5 2007 Levinson’s theorem for Schrödinger operators with point interaction: a topological approach. Zbl 1105.81033Kellendonk, Johannes; Richard, Serge 11 2006 Some improvements in the method of the weakly conjugate operator. Zbl 1136.35428Richard, Serge 8 2006 Spectral and scattering theory for Schrödinger operators with Cartesian anisotropy. Zbl 1135.35056Richard, Serge 5 2005 On perturbations of Dirac operators with variable magnetic field of constant direction. Zbl 1064.81028Richard, Serge; Tiedra de Aldecoa, Rafael 2 2004 Minimal escape velocities for unitary evolution groups. Zbl 1060.81059Richard, Serge 2 2004 Absence of singular spectrum for Schrödinger operators with anisotropic potentials and magnetic fields. Zbl 0987.81025Măntoiu, Marius; Richard, Serge 5 2000 all cited Publications top 5 cited Publications all top 5 Cited by 147 Authors 24 Richard, Serge 18 Tiedra de Aldecoa, Rafael 13 Măntoiu, Marius Laurenţiu 11 Purice, Radu 6 Cornean, Horia D. 6 Dereziński, Jan 6 Kellendonk, Johannes 5 Pankrashkin, Konstantin 5 Suzuki, Akito 4 Georgescu, Vladimir 4 Holzmann, Markus 4 Sukochev, Fedor Anatol’evich 3 Athmouni, Nassim 3 Behrndt, Jussi 3 Bourne, Chris 3 Golénia, Sylvain 3 Inoue, Hideki 3 Maeda, Masaya 3 Parra, Daniel 3 Rennie, Adam 2 Bellissard, Jean V. 2 Carey, Alan L. 2 Faupin, Jérémy 2 Gesztesy, Fritz 2 Ha, Hyunsu 2 Iftimie, Viorel 2 Krejčiřík, David 2 Lee, Gihyun 2 Levitina, Galina 2 Lörinczi, József 2 Mcdonald, Edward A. 2 Mizutani, Haruya 2 Nichols, Roger 2 Nistor, Victor 2 Ourmiéres-Bonafos, Thomas 2 Ponge, Raphaël S. 2 Prodan, Emil 2 Rabinovich, Vladimir Samuilovich 2 Sambou, Diomba 2 Schulz-Baldes, Hermann 2 Tadano, Yukihide 2 Zanin, Dmitriy V. 1 Andersson, Andreas 1 Arai, Asao 1 Asch, Joachim 1 Bachelot, Alain 1 Barucq, Hélène 1 Beckus, Siegfried 1 Bonnaillie-Noël, Virginie 1 Bony, Jean-François 1 Bouclet, Jean-Marc 1 Bourget, Olivier 1 Bourne, Craig 1 Boussaid, Nabile 1 Breuer, Jonathan 1 Briet, Philippe 1 Bruneau, Laurent 1 Burlak, Gennadiy 1 Cano García, Leonardo Arturo 1 Campos de Carvalho, Catarina 1 Cecchi, P. A. 1 Côme, Rémi 1 Cuccagna, Scipio 1 Davies, Edward Brian 1 de Gosson, Maurice Alexis 1 De Gregorio, Alessandro 1 De Nittis, Giuseppe 1 Denisov, Sergey A. 1 Dittrich, Jaroslav 1 Dodonov, Victor V. 1 Ekholm, Tomas 1 Eliaz, Latif 1 Ennaceur, Marwa 1 Exner, Pavel 1 Faucher, Florian 1 Fuda, Toru 1 Funakawa, Daiju 1 Gallone, Matteo 1 García, Jesús Enrique 1 Garde, Henrik 1 Garra, Roberto 1 Gobin, Damien 1 Gournay, Antoine 1 Güneysu, Batu 1 Helffer, Bernard 1 Hiroshima, Fumio 1 Holzleitner, Markus 1 Iftimovici, Andrei 1 Isozaki, Hiroshi 1 Ito, Kenichi 1 Jensen, Arne 1 Joye, Alain 1 Kaad, Jens 1 Kadankova, Tetyana 1 Kaleta, Kamil 1 Kanda, Tomohiro 1 Kapanadze, David 1 Karlovich, Yuri I. 1 Keller, Matthias 1 Korotyaev, Evgeny L. ...and 47 more Authors all top 5 Cited in 50 Serials 17 Annales Henri Poincaré 14 Reviews in Mathematical Physics 14 Journal of Functional Analysis 11 Journal of Mathematical Physics 7 Letters in Mathematical Physics 5 Journal of Pseudo-Differential Operators and Applications 4 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Journal of Geometry and Physics 3 Integral Equations and Operator Theory 3 Communications in Partial Differential Equations 3 Mathematical Physics, Analysis and Geometry 2 Ergodic Theory and Dynamical Systems 2 International Journal of Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Functional Analysis and its Applications 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Annals of Global Analysis and Geometry 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Opuscula Mathematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Quantum Information Processing 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Hyperbolic Differential Equations 1 Cubo 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Mathematical Analysis 1 Complex Analysis and Operator Theory 1 Journal of Noncommutative Geometry 1 Asian-European Journal of Mathematics 1 Kyoto Journal of Mathematics 1 Analysis and Mathematical Physics 1 Quantum Studies: Mathematics and Foundations 1 Modern Stochastics. Theory and Applications 1 Advances in Operator Theory all top 5 Cited in 30 Fields 79 Quantum theory (81-XX) 58 Operator theory (47-XX) 57 Partial differential equations (35-XX) 27 Functional analysis (46-XX) 15 Ordinary differential equations (34-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Statistical mechanics, structure of matter (82-XX) 8 Combinatorics (05-XX) 8 \(K\)-theory (19-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Probability theory and stochastic processes (60-XX) 7 Topological groups, Lie groups (22-XX) 5 Optics, electromagnetic theory (78-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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