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Author ID: richard.serge Recent zbMATH articles by "Richard, Serge"
Published as: Richard, Serge; Richard, S.
Homepage: http://math.univ-lyon1.fr/~richard/
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 298 times in 147 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
25
2007
Magnetic pseudodifferential operators with coefficients in \(C^*\)-algebras. Zbl 1205.35349
Lein, Max; Măntoiu, Marius; Richard, Serge
16
2010
Quantum walks with an anisotropic coin. I: Spectral theory. Zbl 1384.81033
Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R.
15
2018
Spectral and scattering theory for the Aharonov-Bohm operators. Zbl 1230.81054
Pankrashkin, Konstantin; Richard, Serge
14
2011
On Schrödinger operators with inverse square potentials on the half-line. Zbl 1370.81070
Dereziński, Jan; Richard, Serge
14
2017
Commutator methods for unitary operators. Zbl 1290.47036
Fernández, Claudio; Richard, Serge; Tiedra de Aldecoa, Rafael
14
2013
Spectral and scattering theory for Schrödinger operators on perturbed topological crystals. Zbl 06899327
Parra, D.; Richard, S.
14
2018
Topological boundary maps in physics. Zbl 1199.81029
Kellendonk, Johannes; Richard, Serge
12
2008
Levinson’s theorem for Schrödinger operators with point interaction: a topological approach. Zbl 1105.81033
Kellendonk, Johannes; Richard, Serge
12
2006
On the structure of the wave operators in one dimensional potential scattering. Zbl 1175.47010
Kellendonk, Johannes; Richard, Serge
11
2008
Spectral analysis for adjacency operators on graphs. Zbl 1137.81013
Măntoiu, Marius; Richard, Serge; Tiedra de Aldecoa, Rafael
8
2007
Some improvements in the method of the weakly conjugate operator. Zbl 1136.35428
Richard, Serge
8
2006
On radial Schrödinger operators with a Coulomb potential. Zbl 1428.81077
Dereziński, Jan; Richard, Serge
8
2018
Levinson’s theorem and higher degree traces for Aharonov-Bohm operators. Zbl 1317.81106
Kellendonk, Johannes; Pankrashkin, Konstantin; Richard, Serge
7
2011
Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends. Zbl 1280.58021
Richard, S.; Tiedra De Aldecoa, R.
7
2013
One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results. Zbl 1298.81080
Pankrashkin, Konstantin; Richard, Serge
7
2014
New formulae for the wave operators for a rank one interaction. Zbl 1206.47013
Richard, Serge; Tiedra de Aldecoa, Rafael
7
2010
Quantum walks with an anisotropic coin. II: Scattering theory. Zbl 1411.81215
Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R.
7
2019
On the wave operators and Levinson’s theorem for potential scattering in \({\mathbb{R}}^3\). Zbl 1253.81124
Kellendonk, Johannes; Richard, Serge
6
2012
The topological meaning of Levinson’s theorem, half-bound states included. Zbl 1149.81325
Kellendonk, Johannes; Richard, Serge
6
2008
Levinson’s theorem: an index theorem in scattering theory. Zbl 06981835
Richard, S.
6
2016
Spectral and scattering theory for Schrödinger operators with Cartesian anisotropy. Zbl 1135.35056
Richard, Serge
5
2005
New expressions for the wave operators of Schrödinger operators in \(\mathbb R^3\). Zbl 1273.81219
Richard, S.; Tiedra de Aldecoa, R.
5
2013
On the wave operators for the Friedrichs-Faddeev model. Zbl 1251.81091
Isozaki, Hiroshi; Richard, Serge
5
2012
Weber-Schafheitlin-type integrals with exponent 1. Zbl 1163.33313
Kellendonk, Johannes; Richard, Serge
5
2009
On the spectrum of magnetic Dirac operators with Coulomb-type perturbations. Zbl 1152.35080
Richard, Serge; Tiedra de Aldecoa, Rafael
5
2007
Absence of singular spectrum for Schrödinger operators with anisotropic potentials and magnetic fields. Zbl 0987.81025
Măntoiu, Marius; Richard, Serge
5
2000
A few results on Mourre theory in a two-Hilbert spaces setting. Zbl 1283.81067
Richard, S.; Tiedra de Aldecoa, R.
5
2013
A new formula relating localisation operators to time operators. Zbl 1294.47102
Richard, S.; Tiedra de Aldecoa, R.
5
2012
Time delay is a common feature of quantum scattering theory. Zbl 1232.81053
Richard, S.; Tiedra de Aldecoa, R.
4
2012
On radial Schrödinger operators with a Coulomb potential: general boundary conditions. Zbl 1448.34158
Dereziński, Jan; Faupin, Jérémy; Nguyen, Quang Nhat; Richard, Serge
4
2020
Low energy spectral and scattering theory for relativistic Schrödinger operators. Zbl 1347.81072
Richard, Serge; Umeda, Tomio
3
2016
Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides. (Expansions de résolventes et continuité de la matrice de diffusion aux seuils immergés : le cas des guides d’onde quantiques.) Zbl 1372.47004
Richard, S.; Tiedra de Aldecoa, R.
3
2016
Coherent states and pure state quantization in the presence of a variable magnetic field. Zbl 1210.81055
Măntoiu, Marius; Purice, Radu; Richard, Serge
2
2011
Minimal escape velocities for unitary evolution groups. Zbl 1060.81059
Richard, Serge
2
2004
Explicit formulas for the Schrödinger wave operators in \(\mathbb R^2\). Zbl 1268.81152
Richard, Serge; Tiedra de Aldecoa, Rafael
2
2013
On perturbations of Dirac operators with variable magnetic field of constant direction. Zbl 1064.81028
Richard, Serge; Tiedra de Aldecoa, Rafael
2
2004
Does Levinson’s theorem count complex eigenvalues? Zbl 1373.81215
Nicoleau, F.; Parra, D.; Richard, S.
2
2017
Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. Zbl 1440.81039
Inoue, Hideki; Richard, Serge
2
2019
Commutator criteria for strong mixing. II. More general and simpler. Zbl 1441.22008
Richard, S.; Tiedra de Aldecoa, R.
2
2019
Schrödinger operators with \(n\) positive eigenvalues: an explicit construction involving complex-valued potentials. Zbl 1338.35308
Richard, Serge; Uchiyama, Jun; Umeda, Tomio
1
2016
New formulae for the Aharonov-Bohm wave operators. Zbl 1184.81062
Richard, Serge
1
2009
Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition. Zbl 1355.35145
Richard, S.; Tiedra de Aldecoa, R.
1
2017
Continuity of the spectra for families of magnetic operators on \(\mathbb Z^d\). Zbl 1353.81054
Parra, D.; Richard, S.
1
2016
Writings in logic and philosophy. Introduction, translation and notes by S. Richard, F. Schang and K. Vandenborre. (Écrits logiques et philosophiques.) Zbl 1425.03004
Łukasiewicz, Jan
1
2013
On some integral operators appearing in scattering theory, and their resolutions. Zbl 07333282
Richard, Serge; Umeda, Tomio
1
2020
On radial Schrödinger operators with a Coulomb potential: general boundary conditions. Zbl 1448.34158
Dereziński, Jan; Faupin, Jérémy; Nguyen, Quang Nhat; Richard, Serge
4
2020
On some integral operators appearing in scattering theory, and their resolutions. Zbl 07333282
Richard, Serge; Umeda, Tomio
1
2020
Quantum walks with an anisotropic coin. II: Scattering theory. Zbl 1411.81215
Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R.
7
2019
Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example. Zbl 1440.81039
Inoue, Hideki; Richard, Serge
2
2019
Commutator criteria for strong mixing. II. More general and simpler. Zbl 1441.22008
Richard, S.; Tiedra de Aldecoa, R.
2
2019
Quantum walks with an anisotropic coin. I: Spectral theory. Zbl 1384.81033
Richard, S.; Suzuki, A.; Tiedra de Aldecoa, R.
15
2018
Spectral and scattering theory for Schrödinger operators on perturbed topological crystals. Zbl 06899327
Parra, D.; Richard, S.
14
2018
On radial Schrödinger operators with a Coulomb potential. Zbl 1428.81077
Dereziński, Jan; Richard, Serge
8
2018
On Schrödinger operators with inverse square potentials on the half-line. Zbl 1370.81070
Dereziński, Jan; Richard, Serge
14
2017
Does Levinson’s theorem count complex eigenvalues? Zbl 1373.81215
Nicoleau, F.; Parra, D.; Richard, S.
2
2017
Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition. Zbl 1355.35145
Richard, S.; Tiedra de Aldecoa, R.
1
2017
Levinson’s theorem: an index theorem in scattering theory. Zbl 06981835
Richard, S.
6
2016
Low energy spectral and scattering theory for relativistic Schrödinger operators. Zbl 1347.81072
Richard, Serge; Umeda, Tomio
3
2016
Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides. (Expansions de résolventes et continuité de la matrice de diffusion aux seuils immergés : le cas des guides d’onde quantiques.) Zbl 1372.47004
Richard, S.; Tiedra de Aldecoa, R.
3
2016
Schrödinger operators with \(n\) positive eigenvalues: an explicit construction involving complex-valued potentials. Zbl 1338.35308
Richard, Serge; Uchiyama, Jun; Umeda, Tomio
1
2016
Continuity of the spectra for families of magnetic operators on \(\mathbb Z^d\). Zbl 1353.81054
Parra, D.; Richard, S.
1
2016
One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results. Zbl 1298.81080
Pankrashkin, Konstantin; Richard, Serge
7
2014
Commutator methods for unitary operators. Zbl 1290.47036
Fernández, Claudio; Richard, Serge; Tiedra de Aldecoa, Rafael
14
2013
Spectral analysis and time-dependent scattering theory on manifolds with asymptotically cylindrical ends. Zbl 1280.58021
Richard, S.; Tiedra De Aldecoa, R.
7
2013
New expressions for the wave operators of Schrödinger operators in \(\mathbb R^3\). Zbl 1273.81219
Richard, S.; Tiedra de Aldecoa, R.
5
2013
A few results on Mourre theory in a two-Hilbert spaces setting. Zbl 1283.81067
Richard, S.; Tiedra de Aldecoa, R.
5
2013
Explicit formulas for the Schrödinger wave operators in \(\mathbb R^2\). Zbl 1268.81152
Richard, Serge; Tiedra de Aldecoa, Rafael
2
2013
Writings in logic and philosophy. Introduction, translation and notes by S. Richard, F. Schang and K. Vandenborre. (Écrits logiques et philosophiques.) Zbl 1425.03004
Łukasiewicz, Jan
1
2013
On the wave operators and Levinson’s theorem for potential scattering in \({\mathbb{R}}^3\). Zbl 1253.81124
Kellendonk, Johannes; Richard, Serge
6
2012
On the wave operators for the Friedrichs-Faddeev model. Zbl 1251.81091
Isozaki, Hiroshi; Richard, Serge
5
2012
A new formula relating localisation operators to time operators. Zbl 1294.47102
Richard, S.; Tiedra de Aldecoa, R.
5
2012
Time delay is a common feature of quantum scattering theory. Zbl 1232.81053
Richard, S.; Tiedra de Aldecoa, R.
4
2012
Spectral and scattering theory for the Aharonov-Bohm operators. Zbl 1230.81054
Pankrashkin, Konstantin; Richard, Serge
14
2011
Levinson’s theorem and higher degree traces for Aharonov-Bohm operators. Zbl 1317.81106
Kellendonk, Johannes; Pankrashkin, Konstantin; Richard, Serge
7
2011
Coherent states and pure state quantization in the presence of a variable magnetic field. Zbl 1210.81055
Măntoiu, Marius; Purice, Radu; Richard, Serge
2
2011
Magnetic pseudodifferential operators with coefficients in \(C^*\)-algebras. Zbl 1205.35349
Lein, Max; Măntoiu, Marius; Richard, Serge
16
2010
New formulae for the wave operators for a rank one interaction. Zbl 1206.47013
Richard, Serge; Tiedra de Aldecoa, Rafael
7
2010
Weber-Schafheitlin-type integrals with exponent 1. Zbl 1163.33313
Kellendonk, Johannes; Richard, Serge
5
2009
New formulae for the Aharonov-Bohm wave operators. Zbl 1184.81062
Richard, Serge
1
2009
Topological boundary maps in physics. Zbl 1199.81029
Kellendonk, Johannes; Richard, Serge
12
2008
On the structure of the wave operators in one dimensional potential scattering. Zbl 1175.47010
Kellendonk, Johannes; Richard, Serge
11
2008
The topological meaning of Levinson’s theorem, half-bound states included. Zbl 1149.81325
Kellendonk, Johannes; Richard, Serge
6
2008
Spectral and propagation results for magnetic Schrödinger operators; a \(C^*\)-algebraic framework. Zbl 1173.46048
Măntoiu, Marius; Purice, Radu; Richard, Serge
25
2007
Spectral analysis for adjacency operators on graphs. Zbl 1137.81013
Măntoiu, Marius; Richard, Serge; Tiedra de Aldecoa, Rafael
8
2007
On the spectrum of magnetic Dirac operators with Coulomb-type perturbations. Zbl 1152.35080
Richard, Serge; Tiedra de Aldecoa, Rafael
5
2007
Levinson’s theorem for Schrödinger operators with point interaction: a topological approach. Zbl 1105.81033
Kellendonk, Johannes; Richard, Serge
12
2006
Some improvements in the method of the weakly conjugate operator. Zbl 1136.35428
Richard, Serge
8
2006
Spectral and scattering theory for Schrödinger operators with Cartesian anisotropy. Zbl 1135.35056
Richard, Serge
5
2005
Minimal escape velocities for unitary evolution groups. Zbl 1060.81059
Richard, Serge
2
2004
On perturbations of Dirac operators with variable magnetic field of constant direction. Zbl 1064.81028
Richard, Serge; Tiedra de Aldecoa, Rafael
2
2004
Absence of singular spectrum for Schrödinger operators with anisotropic potentials and magnetic fields. Zbl 0987.81025
Măntoiu, Marius; Richard, Serge
5
2000
all top 5

Cited by 160 Authors

25 Richard, Serge
21 Tiedra de Aldecoa, Rafael
13 Măntoiu, Marius Laurențiu
12 Purice, Radu
7 Dereziński, Jan
6 Cornean, Horia D.
6 Kellendonk, Johannes
6 Suzuki, Akito
5 Georgescu, Vladimir
5 Pankrashkin, Konstantin
4 Bourne, Chris
4 Golénia, Sylvain
4 Holzmann, Markus
4 Maeda, Masaya
4 Schulz-Baldes, Hermann
4 Segawa, Etsuo
4 Sukochev, Fedor Anatol’evich
3 Athmouni, Nassim
3 Behrndt, Jussi
3 Inoue, Hideki
3 Lörinczi, József
3 Morioka, Hisashi
3 Nichols, Roger
3 Nistor, Victor
3 Rennie, Adam
2 Carey, Alan L.
2 Faupin, Jérémy
2 Gesztesy, Fritz
2 Ha, Hyunsu
2 Helffer, Bernard
2 Iftimie, Viorel
2 Komatsu, Takashi
2 Konno, Norio
2 Krejčiřík, David
2 Lee, Gihyun
2 Levitina, Galina Borisovna
2 McDonald, Edward Andrew
2 Mizutani, Haruya
2 Ourmiéres-Bonafos, Thomas
2 Parra, Daniel
2 Ponge, Raphaël S.
2 Prodan, Emil
2 Rabinovich, Vladimir Samuilovich
2 Sambou, Diomba
2 Sasaki, Hironobu
2 Suzuki, Kanako
2 Tsuzu, Naohiro
2 Zanin, Dmitriy V.
1 Ammann, Bernd Eberhard
1 Andersson, Andreas
1 Arai, Asao
1 Asch, Joachim
1 Ascione, Giacomo
1 Bachelot, Alain
1 Ballesteros, Miguel
1 Barucq, Hélène
1 Bellissard, Jean V.
1 Blake Allan, S.
1 Bonnaillie-Noël, Virginie
1 Bony, Jean-François
1 Bouclet, Jean-Marc
1 Bourget, Olivier
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 Correggi, Michele
1 Cuccagna, Scipio
1 Davies, Edward Brian
1 de Gosson, Maurice Alexis
1 De Gregorio, Alessandro
1 De Nittis, Giuseppe
1 Dodonov, Victor V.
1 Ekholm, Tomas
1 Eliaz, Latif
1 Ennaceur, Marwa
1 Exner, Pavel
1 Faucher, Florian
1 Fermi, Davide
1 Franco, Gerardo
1 Fuda, Toru
1 Funakawa, Daiju
1 Gallone, Matteo
1 Garde, Henrik
1 Garra, Roberto
1 Gobin, Damien
1 Gontier, David
1 Gournay, Antoine
1 Graf, Gian Michele
1 Hiroshima, Fumio
1 Holzleitner, Markus
1 Iftimovici, Andrei
1 Isozaki, Hiroshi
1 Ito, Kenichi
1 Jensen, Arne
...and 60 more Authors
all top 5

Cited in 53 Serials

21 Annales Henri Poincaré
17 Reviews in Mathematical Physics
12 Journal of Functional Analysis
11 Journal of Mathematical Physics
8 Letters in Mathematical Physics
6 Communications in Mathematical Physics
5 Journal of Pseudo-Differential Operators and Applications
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 Journal of Differential Equations
2 Transactions of the American Mathematical Society
2 Ergodic Theory and Dynamical Systems
2 International Journal of Mathematics
2 Complex Analysis and Operator Theory
2 Advances in Operator Theory
1 Archive for Rational Mechanics and Analysis
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reports on Mathematical Physics
1 Ukrainian Mathematical Journal
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Functional Analysis and its Applications
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Mathematische Annalen
1 Proceedings of the American Mathematical Society
1 Results in Mathematics
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 Journal of Noncommutative Geometry
1 Operators and Matrices
1 Asian-European Journal of Mathematics
1 Kyoto Journal of Mathematics
1 Eurasian Mathematical Journal
1 Analysis and Mathematical Physics
1 Quantum Studies: Mathematics and Foundations
1 Modern Stochastics. Theory and Applications

Citations by Year