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Richard, Serge

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 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
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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
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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
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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)

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 1173.46048
Măntoiu, Marius; Purice, Radu; Richard, Serge
2007
Magnetic pseudodifferential operators with coefficients in $$C^*$$-algebras. Zbl 1205.35349
Lein, Max; Măntoiu, Marius; Richard, Serge
2010
Commutator methods for unitary operators. Zbl 1290.47036
Fernández, Claudio; Richard, Serge; Tiedra de Aldecoa, Rafael
2013
Spectral and scattering theory for the Aharonov-Bohm operators. Zbl 1230.81054
Pankrashkin, Konstantin; Richard, Serge
2011
Topological boundary maps in physics. Zbl 1199.81029
Kellendonk, Johannes; Richard, Serge
2008
Levinson’s theorem for Schrödinger operators with point interaction: a topological approach. Zbl 1105.81033
Kellendonk, Johannes; Richard, Serge
2006
On the structure of the wave operators in one dimensional potential scattering. Zbl 1175.47010
Kellendonk, Johannes; Richard, Serge
2008
Quantum walks with an anisotropic coin. I: Spectral theory. Zbl 1384.81033
Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R.
2018
On Schrödinger operators with inverse square potentials on the half-line. Zbl 1370.81070
Dereziński, Jan; Richard, Serge
2017
Some improvements in the method of the weakly conjugate operator. Zbl 1136.35428
Richard, Serge
2006
Spectral and scattering theory for Schrödinger operators on perturbed topological crystals. Zbl 06899327
Parra, D.; Richard, S.
2018
New formulae for the wave operators for a rank one interaction. Zbl 1206.47013
Richard, Serge; Tiedra de Aldecoa, Rafael
2010
Spectral analysis for adjacency operators on graphs. Zbl 1137.81013
Măntoiu, Marius; Richard, Serge; Tiedra de Aldecoa, Rafael
2007
One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results. Zbl 1298.81080
Pankrashkin, Konstantin; Richard, Serge
2014
Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends. Zbl 1280.58021
Richard, S.; Tiedra De Aldecoa, R.
2013
Levinson’s theorem and higher degree traces for Aharonov-Bohm operators. Zbl 1317.81106
Kellendonk, Johannes; Pankrashkin, Konstantin; Richard, Serge
2011
On radial Schrödinger operators with a Coulomb potential. Zbl 1428.81077
Dereziński, Jan; Richard, Serge
2018
A new formula relating localisation operators to time operators. Zbl 1294.47102
Richard, S.; Tiedra de Aldecoa, R.
2012
On the wave operators for the Friedrichs-Faddeev model. Zbl 1251.81091
Isozaki, Hiroshi; Richard, Serge
2012
On the wave operators and Levinson’s theorem for potential scattering in $${\mathbb{R}}^3$$. Zbl 1253.81124
Kellendonk, Johannes; Richard, Serge
2012
Weber-Schafheitlin-type integrals with exponent 1. Zbl 1163.33313
Kellendonk, Johannes; Richard, Serge
2009
On the spectrum of magnetic Dirac operators with Coulomb-type perturbations. Zbl 1152.35080
Richard, Serge; Tiedra de Aldecoa, Rafael
2007
Spectral and scattering theory for Schrödinger operators with Cartesian anisotropy. Zbl 1135.35056
Richard, Serge
2005
Absence of singular spectrum for Schrödinger operators with anisotropic potentials and magnetic fields. Zbl 0987.81025
Măntoiu, Marius; Richard, Serge
2000
Levinson’s theorem: an index theorem in scattering theory. Zbl 06981835
Richard, S.
2016
New expressions for the wave operators of Schrödinger operators in $$\mathbb R^3$$. Zbl 1273.81219
Richard, S.; Tiedra de Aldecoa, R.
2013
Time delay is a common feature of quantum scattering theory. Zbl 1232.81053
Richard, S.; Tiedra de Aldecoa, R.
2012
The topological meaning of Levinson’s theorem, half-bound states included. Zbl 1149.81325
Kellendonk, Johannes; Richard, Serge
2008
Quantum walks with an anisotropic coin. II: Scattering theory. Zbl 1411.81215
Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R.
2019
Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides. Zbl 1372.47004
Richard, S.; Tiedra de Aldecoa, R.
2016
A few results on Mourre theory in a two-Hilbert spaces setting. Zbl 1283.81067
Richard, S.; Tiedra de Aldecoa, R.
2013
Does Levinson’s theorem count complex eigenvalues? Zbl 1373.81215
Nicoleau, F.; Parra, D.; Richard, S.
2017
Low energy spectral and scattering theory for relativistic Schrödinger operators. Zbl 1347.81072
Richard, Serge; Umeda, Tomio
2016
Coherent states and pure state quantization in the presence of a variable magnetic field. Zbl 1210.81055
Măntoiu, Marius; Purice, Radu; Richard, Serge
2011
On perturbations of Dirac operators with variable magnetic field of constant direction. Zbl 1064.81028
Richard, Serge; Tiedra de Aldecoa, Rafael
2004
Minimal escape velocities for unitary evolution groups. Zbl 1060.81059
Richard, Serge
2004
Commutator criteria for strong mixing. II. More general and simpler. Zbl 1441.22008
Richard, S.; Tiedra de Aldecoa, R.
2019
Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. Zbl 1440.81039
Inoue, Hideki; Richard, Serge
2019
Continuity of the spectra for families of magnetic operators on $$\mathbb Z^d$$. Zbl 1353.81054
Parra, D.; Richard, S.
2016
Schrödinger operators with $$n$$ positive eigenvalues: an explicit construction involving complex-valued potentials. Zbl 1338.35308
Richard, Serge; Uchiyama, Jun; Umeda, Tomio
2016
Explicit formulas for the Schrödinger wave operators in $$\mathbb R^2$$. Zbl 1268.81152
Richard, Serge; Tiedra de Aldecoa, Rafael
2013
New formulae for the Aharonov-Bohm wave operators. Zbl 1184.81062
Richard, Serge
2009
Quantum walks with an anisotropic coin. II: Scattering theory. Zbl 1411.81215
Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R.
2019
Commutator criteria for strong mixing. II. More general and simpler. Zbl 1441.22008
Richard, S.; Tiedra de Aldecoa, R.
2019
Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. Zbl 1440.81039
Inoue, Hideki; Richard, Serge
2019
Quantum walks with an anisotropic coin. I: Spectral theory. Zbl 1384.81033
Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R.
2018
Spectral and scattering theory for Schrödinger operators on perturbed topological crystals. Zbl 06899327
Parra, D.; Richard, S.
2018
On radial Schrödinger operators with a Coulomb potential. Zbl 1428.81077
Dereziński, Jan; Richard, Serge
2018
On Schrödinger operators with inverse square potentials on the half-line. Zbl 1370.81070
Dereziński, Jan; Richard, Serge
2017
Does Levinson’s theorem count complex eigenvalues? Zbl 1373.81215
Nicoleau, F.; Parra, D.; Richard, S.
2017
Levinson’s theorem: an index theorem in scattering theory. Zbl 06981835
Richard, S.
2016
Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides. Zbl 1372.47004
Richard, S.; Tiedra de Aldecoa, R.
2016
Low energy spectral and scattering theory for relativistic Schrödinger operators. Zbl 1347.81072
Richard, Serge; Umeda, Tomio
2016
Continuity of the spectra for families of magnetic operators on $$\mathbb Z^d$$. Zbl 1353.81054
Parra, D.; Richard, S.
2016
Schrödinger operators with $$n$$ positive eigenvalues: an explicit construction involving complex-valued potentials. Zbl 1338.35308
Richard, Serge; Uchiyama, Jun; Umeda, Tomio
2016
One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results. Zbl 1298.81080
Pankrashkin, Konstantin; Richard, Serge
2014
Commutator methods for unitary operators. Zbl 1290.47036
Fernández, Claudio; Richard, Serge; Tiedra de Aldecoa, Rafael
2013
Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends. Zbl 1280.58021
Richard, S.; Tiedra De Aldecoa, R.
2013
New expressions for the wave operators of Schrödinger operators in $$\mathbb R^3$$. Zbl 1273.81219
Richard, S.; Tiedra de Aldecoa, R.
2013
A few results on Mourre theory in a two-Hilbert spaces setting. Zbl 1283.81067
Richard, S.; Tiedra de Aldecoa, R.
2013
Explicit formulas for the Schrödinger wave operators in $$\mathbb R^2$$. Zbl 1268.81152
Richard, Serge; Tiedra de Aldecoa, Rafael
2013
A new formula relating localisation operators to time operators. Zbl 1294.47102
Richard, S.; Tiedra de Aldecoa, R.
2012
On the wave operators for the Friedrichs-Faddeev model. Zbl 1251.81091
Isozaki, Hiroshi; Richard, Serge
2012
On the wave operators and Levinson’s theorem for potential scattering in $${\mathbb{R}}^3$$. Zbl 1253.81124
Kellendonk, Johannes; Richard, Serge
2012
Time delay is a common feature of quantum scattering theory. Zbl 1232.81053
Richard, S.; Tiedra de Aldecoa, R.
2012
Spectral and scattering theory for the Aharonov-Bohm operators. Zbl 1230.81054
Pankrashkin, Konstantin; Richard, Serge
2011
Levinson’s theorem and higher degree traces for Aharonov-Bohm operators. Zbl 1317.81106
Kellendonk, Johannes; Pankrashkin, Konstantin; Richard, Serge
2011
Coherent states and pure state quantization in the presence of a variable magnetic field. Zbl 1210.81055
Măntoiu, Marius; Purice, Radu; Richard, Serge
2011
Magnetic pseudodifferential operators with coefficients in $$C^*$$-algebras. Zbl 1205.35349
Lein, Max; Măntoiu, Marius; Richard, Serge
2010
New formulae for the wave operators for a rank one interaction. Zbl 1206.47013
Richard, Serge; Tiedra de Aldecoa, Rafael
2010
Weber-Schafheitlin-type integrals with exponent 1. Zbl 1163.33313
Kellendonk, Johannes; Richard, Serge
2009
New formulae for the Aharonov-Bohm wave operators. Zbl 1184.81062
Richard, Serge
2009
Topological boundary maps in physics. Zbl 1199.81029
Kellendonk, Johannes; Richard, Serge
2008
On the structure of the wave operators in one dimensional potential scattering. Zbl 1175.47010
Kellendonk, Johannes; Richard, Serge
2008
The topological meaning of Levinson’s theorem, half-bound states included. Zbl 1149.81325
Kellendonk, Johannes; Richard, Serge
2008
Spectral and propagation results for magnetic Schrödinger operators; a $$C^*$$-algebraic framework. Zbl 1173.46048
Măntoiu, Marius; Purice, Radu; Richard, Serge
2007
Spectral analysis for adjacency operators on graphs. Zbl 1137.81013
Măntoiu, Marius; Richard, Serge; Tiedra de Aldecoa, Rafael
2007
On the spectrum of magnetic Dirac operators with Coulomb-type perturbations. Zbl 1152.35080
Richard, Serge; Tiedra de Aldecoa, Rafael
2007
Levinson’s theorem for Schrödinger operators with point interaction: a topological approach. Zbl 1105.81033
Kellendonk, Johannes; Richard, Serge
2006
Some improvements in the method of the weakly conjugate operator. Zbl 1136.35428
Richard, Serge
2006
Spectral and scattering theory for Schrödinger operators with Cartesian anisotropy. Zbl 1135.35056
Richard, Serge
2005
On perturbations of Dirac operators with variable magnetic field of constant direction. Zbl 1064.81028
Richard, Serge; Tiedra de Aldecoa, Rafael
2004
Minimal escape velocities for unitary evolution groups. Zbl 1060.81059
Richard, Serge
2004
Absence of singular spectrum for Schrödinger operators with anisotropic potentials and magnetic fields. Zbl 0987.81025
Măntoiu, Marius; Richard, Serge
2000
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
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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)

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