Golse, François; Paul, Thierry Time dependent quantum perturbations uniform in the semiclassical regime. (English) Zbl 07741135 Indiana Univ. Math. J. 72, No. 3, 1273-1296 (2023). MSC: 81Q15 81Q20 30F10 81Q05 35R03 PDFBibTeX XMLCite \textit{F. Golse} and \textit{T. Paul}, Indiana Univ. Math. J. 72, No. 3, 1273--1296 (2023; Zbl 07741135) Full Text: DOI arXiv
Flandrin, Patrick (ed.); Jaffard, Stéphane (ed.); Paul, Thierry (ed.); Torresani, Bruno (ed.) Theoretical physics, wavelets, analysis, genomics. An indisciplinary tribute to Alex Grossmann. (English) Zbl 1516.00008 Applied and Numerical Harmonic Analysis. Cham: Springer (ISBN 978-3-030-45846-1/hbk; 978-3-030-45849-2/pbk; 978-3-030-45847-8/ebook). xix, 650 p. (2023). MSC: 00B30 42-06 46-06 81-06 00A79 01A70 PDFBibTeX XMLCite \textit{P. Flandrin} (ed.) et al., Theoretical physics, wavelets, analysis, genomics. An indisciplinary tribute to Alex Grossmann. Cham: Springer (2023; Zbl 1516.00008) Full Text: DOI
Golse, François; Paul, Thierry Mean-field and classical limit for the \(N\)-body quantum dynamics with Coulomb interaction. (English) Zbl 1502.81072 Commun. Pure Appl. Math. 75, No. 6, 1332-1376 (2022). MSC: 81V73 81Q05 35Q05 35E15 81S30 PDFBibTeX XMLCite \textit{F. Golse} and \textit{T. Paul}, Commun. Pure Appl. Math. 75, No. 6, 1332--1376 (2022; Zbl 1502.81072) Full Text: DOI arXiv
Golse, François; Paul, Thierry Optimal transport pseudometrics for quantum and classical densities. (English) Zbl 1485.49053 J. Funct. Anal. 282, No. 9, Article ID 109417, 53 p. (2022). Reviewer: Sorin-Mihai Grad (Paris) MSC: 49Q22 81Q20 81Q05 49N15 PDFBibTeX XMLCite \textit{F. Golse} and \textit{T. Paul}, J. Funct. Anal. 282, No. 9, Article ID 109417, 53 p. (2022; Zbl 1485.49053) Full Text: DOI
Golse, François; Jin, Shi; Paul, Thierry The random batch method for \(N\)-body quantum dynamics. (English) Zbl 1499.82029 J. Comput. Math. 39, No. 6, 897-922 (2021). MSC: 82C10 82C22 65M75 35Q41 81V70 PDFBibTeX XMLCite \textit{F. Golse} et al., J. Comput. Math. 39, No. 6, 897--922 (2021; Zbl 1499.82029) Full Text: DOI arXiv
Paul, Thierry Symbolic calculus for singular curve operators. (English) Zbl 1471.81085 Albeverio, Sergio (ed.) et al., Schrödinger operators, spectral analysis and number theory. In memory of Erik Balslev. Cham: Springer. Springer Proc. Math. Stat. 348, 195-221 (2021). MSC: 81T45 81T70 47B35 81Q20 14D22 81R60 53D30 81S30 14D21 PDFBibTeX XMLCite \textit{T. Paul}, Springer Proc. Math. Stat. 348, 195--221 (2021; Zbl 1471.81085) Full Text: DOI arXiv
Golse, François; Jin, Shi; Paul, Thierry On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. (English) Zbl 1471.65038 Found. Comput. Math. 21, No. 3, 613-647 (2021). MSC: 65J10 65J08 81Q05 PDFBibTeX XMLCite \textit{F. Golse} et al., Found. Comput. Math. 21, No. 3, 613--647 (2021; Zbl 1471.65038) Full Text: DOI arXiv
Golse, François; Paul, Thierry Semiclassical evolution with low regularity. (English. French summary) Zbl 1472.35323 J. Math. Pures Appl. (9) 151, 257-311 (2021). MSC: 35Q41 35B40 35B65 35J10 81Q05 81Q20 81V70 82C10 37N20 PDFBibTeX XMLCite \textit{F. Golse} and \textit{T. Paul}, J. Math. Pures Appl. (9) 151, 257--311 (2021; Zbl 1472.35323) Full Text: DOI arXiv HAL
Caglioti, E.; Golse, F.; Paul, T. Quantum optimal transport is cheaper. (English) Zbl 1448.49045 J. Stat. Phys. 181, No. 1, 149-162 (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 49N90 81S30 81Q05 35R50 81Q20 PDFBibTeX XMLCite \textit{E. Caglioti} et al., J. Stat. Phys. 181, No. 1, 149--162 (2020; Zbl 1448.49045) Full Text: DOI arXiv
Golse, François; Paul, Thierry Empirical measures and quantum mechanics: applications to the mean-field limit. (English) Zbl 1417.81127 Commun. Math. Phys. 369, No. 3, 1021-1053 (2019). MSC: 81Q05 81V70 70F10 81Q20 81S30 81P16 42A38 PDFBibTeX XMLCite \textit{F. Golse} and \textit{T. Paul}, Commun. Math. Phys. 369, No. 3, 1021--1053 (2019; Zbl 1417.81127) Full Text: DOI arXiv
Paul, Thierry; Pulvirenti, Mario Asymptotic expansion of the mean-field approximation. (English) Zbl 1412.35285 Discrete Contin. Dyn. Syst. 39, No. 4, 1891-1921 (2019). MSC: 35Q40 35Q20 34E05 35C20 81V70 35Q55 PDFBibTeX XMLCite \textit{T. Paul} and \textit{M. Pulvirenti}, Discrete Contin. Dyn. Syst. 39, No. 4, 1891--1921 (2019; Zbl 1412.35285) Full Text: DOI arXiv
Paul, Thierry; Pulvirenti, Mario; Simonella, Sergio On the size of chaos in the mean field dynamics. (English) Zbl 1404.81117 Arch. Ration. Mech. Anal. 231, No. 1, 285-317 (2019). MSC: 81Q50 81V70 81Q10 81T27 82B31 PDFBibTeX XMLCite \textit{T. Paul} et al., Arch. Ration. Mech. Anal. 231, No. 1, 285--317 (2019; Zbl 1404.81117) Full Text: DOI arXiv
Novelli, Jean-Christophe; Paul, Thierry; Sauzin, David; Thibon, Jean-Yves Rayleigh-Schrödinger series and Birkhoff decomposition. (English) Zbl 1395.81115 Lett. Math. Phys. 108, No. 7, 1583-1600 (2018). MSC: 81Q15 34D10 81-08 81Q05 81T15 PDFBibTeX XMLCite \textit{J.-C. Novelli} et al., Lett. Math. Phys. 108, No. 7, 1583--1600 (2018; Zbl 1395.81115) Full Text: DOI arXiv
Golse, François; Paul, Thierry Wave packets and the quadratic Monge-Kantorovich distance in quantum mechanics. (Paquets d’ondes et distance quadratique de Monge-Kantorovich en mécanique quantique.) (English. French summary) Zbl 1383.81030 C. R., Math., Acad. Sci. Paris 356, No. 2, 177-197 (2018). MSC: 81P16 81Q05 81V70 35Q40 81S05 81S30 PDFBibTeX XMLCite \textit{F. Golse} and \textit{T. Paul}, C. R., Math., Acad. Sci. Paris 356, No. 2, 177--197 (2018; Zbl 1383.81030) Full Text: DOI arXiv
Paul, Thierry; Sauzin, David Normalization in Lie algebras via mould calculus and applications. (English) Zbl 1383.37049 Regul. Chaotic Dyn. 22, No. 6, 616-649 (2017). MSC: 37J40 81Q15 81Q20 70G65 PDFBibTeX XMLCite \textit{T. Paul} and \textit{D. Sauzin}, Regul. Chaotic Dyn. 22, No. 6, 616--649 (2017; Zbl 1383.37049) Full Text: DOI arXiv
Paul, Thierry; Sauzin, David Normalization in Banach scale Lie algebras via mould calculus and applications. (English) Zbl 1373.37143 Discrete Contin. Dyn. Syst. 37, No. 8, 4461-4487 (2017). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 37J40 81Q15 81Q20 PDFBibTeX XMLCite \textit{T. Paul} and \textit{D. Sauzin}, Discrete Contin. Dyn. Syst. 37, No. 8, 4461--4487 (2017; Zbl 1373.37143) Full Text: DOI arXiv
Golse, François; Paul, Thierry The Schrödinger equation in the mean-field and semiclassical regime. (English) Zbl 1359.35164 Arch. Ration. Mech. Anal. 223, No. 1, 57-94 (2017). MSC: 35Q41 35Q83 81V17 PDFBibTeX XMLCite \textit{F. Golse} and \textit{T. Paul}, Arch. Ration. Mech. Anal. 223, No. 1, 57--94 (2017; Zbl 1359.35164) Full Text: DOI arXiv
Paul, Thierry; Stolovitch, Laurent Quantum singular complete integrability. (English) Zbl 1350.47057 J. Funct. Anal. 271, No. 6, 1377-1433 (2016). MSC: 47N50 81Q15 81Q20 37J35 37J40 PDFBibTeX XMLCite \textit{T. Paul} and \textit{L. Stolovitch}, J. Funct. Anal. 271, No. 6, 1377--1433 (2016; Zbl 1350.47057) Full Text: DOI arXiv
Golse, François; Mouhot, Clément; Paul, Thierry On the mean field and classical limits of quantum mechanics. (English) Zbl 1418.81021 Commun. Math. Phys. 343, No. 1, 165-205 (2016). MSC: 81Q05 81V70 35Q55 PDFBibTeX XMLCite \textit{F. Golse} et al., Commun. Math. Phys. 343, No. 1, 165--205 (2016; Zbl 1418.81021) Full Text: DOI arXiv
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry On the classical limit of the Schrödinger equation. (English) Zbl 1332.35312 Discrete Contin. Dyn. Syst. 35, No. 12, 5689-5709 (2015). MSC: 35Q41 81Q20 35S30 53D12 PDFBibTeX XMLCite \textit{C. Bardos} et al., Discrete Contin. Dyn. Syst. 35, No. 12, 5689--5709 (2015; Zbl 1332.35312) Full Text: DOI arXiv
Bambusi, D.; Kappeler, T.; Paul, T. From Toda to KdV. (English) Zbl 1334.37078 Nonlinearity 28, No. 7, 2461-2496 (2015). Reviewer: Johannes Giannoulis (Ioannina) MSC: 37K10 70F45 81Q20 PDFBibTeX XMLCite \textit{D. Bambusi} et al., Nonlinearity 28, No. 7, 2461--2496 (2015; Zbl 1334.37078) Full Text: DOI arXiv
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry Hamiltonian evolution of monokinetic measures with rough momentum profile. (English) Zbl 1329.35259 Arch. Ration. Mech. Anal. 217, No. 1, 71-111 (2015). MSC: 35Q41 35R06 35Q40 81Q20 PDFBibTeX XMLCite \textit{C. Bardos} et al., Arch. Ration. Mech. Anal. 217, No. 1, 71--111 (2015; Zbl 1329.35259) Full Text: DOI arXiv
Paul, Thierry; Zanelli, Lorenzo On the dynamics of WKB wave functions whose phase are weak KAM solutions of H-J equation. (English) Zbl 1310.58019 J. Fourier Anal. Appl. 20, No. 6, 1291-1327 (2014). Reviewer: Sönke Hansen (Paderborn) MSC: 58J40 81S30 35F21 35D40 PDFBibTeX XMLCite \textit{T. Paul} and \textit{L. Zanelli}, J. Fourier Anal. Appl. 20, No. 6, 1291--1327 (2014; Zbl 1310.58019) Full Text: DOI arXiv
Graffi, Sandro; Paul, Thierry Corrigendum to “Convergence of a quantum normal form and an exact quantization formula”. (English) Zbl 1298.81126 J. Funct. Anal. 267, No. 11, 4559-4561 (2014). MSC: 81S05 81Q20 81Q10 37J40 35J10 PDFBibTeX XMLCite \textit{S. Graffi} and \textit{T. Paul}, J. Funct. Anal. 267, No. 11, 4559--4561 (2014; Zbl 1298.81126) Full Text: DOI
Athanassoulis, Agissilaos; Paul, Thierry On the selection of the classical limit for potentials with BV derivatives. (English) Zbl 1267.81158 J. Dyn. Differ. Equations 25, No. 1, 33-47 (2013). MSC: 81Q20 81Q05 81S30 PDFBibTeX XMLCite \textit{A. Athanassoulis} and \textit{T. Paul}, J. Dyn. Differ. Equations 25, No. 1, 33--47 (2013; Zbl 1267.81158) Full Text: DOI arXiv
Paul, T. Recent results in semiclassical approximation with rough potentials. (English) Zbl 1266.81083 Grieser, Daniel (ed.) et al., Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14–18, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0465-3/pbk; 978-3-0348-0466-0/ebook). Trends in Mathematics, 49-52 (2013). MSC: 81Q20 81Q05 PDFBibTeX XMLCite \textit{T. Paul}, in: Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14--18, 2011. Basel: Birkhäuser. 49--52 (2013; Zbl 1266.81083) Full Text: DOI arXiv
Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry Corrigendum: Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. (English) Zbl 1258.35167 Commun. Pure Appl. Math. 66, No. 4, 646-647 (2013). MSC: 35Q40 35R05 81S30 81V55 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Commun. Pure Appl. Math. 66, No. 4, 646--647 (2013; Zbl 1258.35167) Full Text: DOI
Figalli, Alessio; Ligabò, Marilena; Paul, Thierry Semiclassical limit for mixed states with singular and rough potentials. (English) Zbl 1264.81177 Indiana Univ. Math. J. 61, No. 1, 193-222 (2012). MSC: 81Q05 81Q20 81R15 PDFBibTeX XMLCite \textit{A. Figalli} et al., Indiana Univ. Math. J. 61, No. 1, 193--222 (2012; Zbl 1264.81177) Full Text: DOI arXiv Link
Athanassoulis, Agissilaos; Paul, Thierry Strong and weak semiclassical limit for some rough Hamiltonians. (English) Zbl 1255.35185 Math. Models Methods Appl. Sci. 22, No. 12, Article ID 1250038, 29 p. (2012). MSC: 35Q41 81Q05 35D30 35D35 81Q20 PDFBibTeX XMLCite \textit{A. Athanassoulis} and \textit{T. Paul}, Math. Models Methods Appl. Sci. 22, No. 12, Article ID 1250038, 29 p. (2012; Zbl 1255.35185) Full Text: DOI arXiv
Markowich, Peter; Paul, Thierry; Sparber, Christof On the dynamics of Bohmian measures. (English) Zbl 1256.35171 Arch. Ration. Mech. Anal. 205, No. 3, 1031-1054 (2012). MSC: 35Q83 35Q40 81Q20 PDFBibTeX XMLCite \textit{P. Markowich} et al., Arch. Ration. Mech. Anal. 205, No. 3, 1031--1054 (2012; Zbl 1256.35171) Full Text: DOI arXiv
Graffi, Sandro; Paul, Thierry Convergence of a quantum normal form and an exact quantization formula. (English) Zbl 1248.81096 J. Funct. Anal. 262, No. 7, 3340-3393 (2012); corrigendum ibid. 267, No. 11, 4559-4561 (2014). Reviewer: Franz Luef (Berkeley) MSC: 81S05 81Q20 81Q10 37J40 35J10 PDFBibTeX XMLCite \textit{S. Graffi} and \textit{T. Paul}, J. Funct. Anal. 262, No. 7, 3340--3393 (2012; Zbl 1248.81096) Full Text: DOI arXiv
Longo, Guiseppe; Paul, Thierry The mathematics of computing between logic and physics. (English) Zbl 1260.81049 Cooper, S. Barry (ed.) et al., Computability in context. Computation and logic in the real world. London: Imperial College Press (ISBN 978-1-84816-245-7/hbk; 978-1-84816-277-8/ebook). 243-273 (2011). MSC: 81P68 03D10 68Q05 PDFBibTeX XMLCite \textit{G. Longo} and \textit{T. Paul}, in: Computability in context. Computation and logic in the real world. London: Imperial College Press. 243--273 (2011; Zbl 1260.81049)
Longo, Giuseppe; Palamidessi, Catuscia; Paul, Thierry Some bridging results and challenges in classical, quantum and computational randomness. (English) Zbl 1244.68058 Zenil, Hector (ed.), Randomness through computation. Some answers, more questions. Hackensack, NJ: World Scientific (ISBN 978-981-4327-74-9/hbk; 978-981-4327-75-6/ebook). 73-91 (2011). Reviewer: Cristian S. Calude (Auckland) MSC: 68Q87 68Q01 68Q30 81P16 PDFBibTeX XMLCite \textit{G. Longo} et al., in: Randomness through computation. Some answers, more questions. Hackensack, NJ: World Scientific. 73--91 (2011; Zbl 1244.68058) Full Text: Link
Athanassoulis, Agissilaos; Paul, Thierry Strong phase-space semiclassical asymptotics. (English) Zbl 1235.81099 SIAM J. Math. Anal. 43, No. 5, 2116-2149 (2011). MSC: 81S30 81Q20 35B40 46E35 PDFBibTeX XMLCite \textit{A. Athanassoulis} and \textit{T. Paul}, SIAM J. Math. Anal. 43, No. 5, 2116--2149 (2011; Zbl 1235.81099) Full Text: DOI arXiv
Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario Strong semiclassical approximation of Wigner functions for the Hartree dynamics. (English) Zbl 1235.81100 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 22, No. 4, 525-552 (2011). MSC: 81S30 81Q20 35Q55 81Q05 PDFBibTeX XMLCite \textit{A. Athanassoulis} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 22, No. 4, 525--552 (2011; Zbl 1235.81100) Full Text: DOI arXiv
Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario Semiclassical propagation of coherent states for the Hartree equation. (English) Zbl 1238.81140 Ann. Henri Poincaré 12, No. 8, 1613-1634 (2011). MSC: 81R30 81Q20 81Q15 35C20 41A60 PDFBibTeX XMLCite \textit{A. Athanassoulis} et al., Ann. Henri Poincaré 12, No. 8, 1613--1634 (2011; Zbl 1238.81140) Full Text: DOI arXiv
Paul, Thierry Semiclassical approximation and noncommutative geometry. (English. Abridged French version) Zbl 1231.35189 C. R., Math., Acad. Sci. Paris 349, No. 21-22, 1177-1182 (2011). MSC: 35Q41 81Q05 35S05 81R60 PDFBibTeX XMLCite \textit{T. Paul}, C. R., Math., Acad. Sci. Paris 349, No. 21--22, 1177--1182 (2011; Zbl 1231.35189) Full Text: DOI arXiv
Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. (English) Zbl 1231.35186 Commun. Pure Appl. Math. 64, No. 9, 1199-1242 (2011). Reviewer: Michael Perelmuter (Kyïv) MSC: 35Q40 35R05 81S30 81V55 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Commun. Pure Appl. Math. 64, No. 9, 1199--1242 (2011; Zbl 1231.35186) Full Text: DOI arXiv
Guillemin, Victor; Paul, Thierry Some remarks about semiclassical trace invariants and quantum normal forms. (English) Zbl 1213.58021 Commun. Math. Phys. 294, No. 1, 1-19 (2010). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 58J40 81Q20 PDFBibTeX XMLCite \textit{V. Guillemin} and \textit{T. Paul}, Commun. Math. Phys. 294, No. 1, 1--19 (2010; Zbl 1213.58021) Full Text: DOI arXiv
Markowich, Peter; Paul, Thierry; Sparber, Christof Bohmian measures and their classical limit. (English) Zbl 1195.81060 J. Funct. Anal. 259, No. 6, 1542-1576 (2010). MSC: 81Q20 81Q65 PDFBibTeX XMLCite \textit{P. Markowich} et al., J. Funct. Anal. 259, No. 6, 1542--1576 (2010; Zbl 1195.81060) Full Text: DOI arXiv
Athanassoulis, A.; Paul, T. Smoothed affine Wigner transform. (English) Zbl 1188.81124 Appl. Comput. Harmon. Anal. 28, No. 3, 313-319 (2010). MSC: 81S30 81Q05 42C40 PDFBibTeX XMLCite \textit{A. Athanassoulis} and \textit{T. Paul}, Appl. Comput. Harmon. Anal. 28, No. 3, 313--319 (2010; Zbl 1188.81124) Full Text: DOI arXiv
Paul, Thierry Semiclassical analysis and sensitivity to initial conditions. (English) Zbl 1165.81308 Inf. Comput. 207, No. 5, 660-669 (2009). MSC: 81P15 81P05 81Q20 PDFBibTeX XMLCite \textit{T. Paul}, Inf. Comput. 207, No. 5, 660--669 (2009; Zbl 1165.81308) Full Text: DOI arXiv
Athanassoulis, Agissilaos G.; Mauser, Norbert J.; Paul, Thierry Coarse-scale representations and smoothed Wigner transforms. (English) Zbl 1170.81033 J. Math. Pures Appl. (9) 91, No. 3, 296-338 (2009). MSC: 81S30 81Q05 35R50 81Q20 PDFBibTeX XMLCite \textit{A. G. Athanassoulis} et al., J. Math. Pures Appl. (9) 91, No. 3, 296--338 (2009; Zbl 1170.81033) Full Text: DOI arXiv
Paul, Thierry Time scales of a quantum evolution with small Planck constant. (Échelles de temps pour l’évolution quantique à petite constante de Planck.) (French) Zbl 1179.35258 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2007-2008, Exp. No. IV, 19 p. (2008). Reviewer: Milan Pokorný (Praha) MSC: 35Q41 81Q20 PDFBibTeX XMLCite \textit{T. Paul}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2007--2008, Exp. No. IV, 19 p. (2008; Zbl 1179.35258) Full Text: arXiv EuDML
Paul, Thierry On the status of perturbation theory. (English) Zbl 1116.81006 Math. Struct. Comput. Sci. 17, No. 2, 277-288 (2007). MSC: 81P05 81U05 PDFBibTeX XMLCite \textit{T. Paul}, Math. Struct. Comput. Sci. 17, No. 2, 277--288 (2007; Zbl 1116.81006) Full Text: DOI
Paul, Thierry Discrete-continuous and classical-quantum. (English) Zbl 1116.81005 Math. Struct. Comput. Sci. 17, No. 2, 177-183 (2007). MSC: 81P05 81P68 PDFBibTeX XMLCite \textit{T. Paul}, Math. Struct. Comput. Sci. 17, No. 2, 177--183 (2007; Zbl 1116.81005) Full Text: DOI
Bambusi, Dario; Graffi, Sandro; Paul, Thierry Normal forms and quantization formulae. (English) Zbl 1040.81019 Commun. Math. Phys. 207, No. 1, 173-195 (1999). MSC: 81Q20 35J10 81Q10 37J10 35A22 37N20 PDFBibTeX XMLCite \textit{D. Bambusi} et al., Commun. Math. Phys. 207, No. 1, 173--195 (1999; Zbl 1040.81019) Full Text: DOI
Bambusi, Dario; Graffi, Sandro; Paul, Thierry Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time. (English) Zbl 0934.35142 Asymptotic Anal. 21, No. 2, 149-160 (1999). MSC: 35Q40 81Q20 PDFBibTeX XMLCite \textit{D. Bambusi} et al., Asymptotic Anal. 21, No. 2, 149--160 (1999; Zbl 0934.35142) Full Text: arXiv
Borthwick, David; Paul, Thierry; Uribe, Alejandro Semiclassical spectral estimates for Toeplitz operators. (English) Zbl 0920.58059 Ann. Inst. Fourier 48, No. 4, 1189-1229 (1998). Reviewer: V.M.Deundjak (Rostov-na-Donu) MSC: 58J50 58J40 81Q20 PDFBibTeX XMLCite \textit{D. Borthwick} et al., Ann. Inst. Fourier 48, No. 4, 1189--1229 (1998; Zbl 0920.58059) Full Text: DOI Numdam EuDML
Paul, T.; Uribe, A. Local trace formulae. (English) Zbl 0893.35110 Rauch, Jeffrey (ed.) et al., Quasiclassical methods. Proceedings based on talks given at the IMA workshop, Minneapolis, MN, USA, May 22–26, 1995. New York, NY: Springer. IMA Vol. Math. Appl. 95, 139-144 (1997). Reviewer: André Martinez (Bologna) MSC: 35Q40 81Q20 35P05 PDFBibTeX XMLCite \textit{T. Paul} and \textit{A. Uribe}, IMA Vol. Math. Appl. 95, 139--144 (1997; Zbl 0893.35110)
Paul, T. Semi-classical methods with emphasis on coherent states. (English) Zbl 0893.35109 Rauch, Jeffrey (ed.) et al., Quasiclassical methods. Proceedings based on talks given at the IMA workshop, Minneapolis, MN, USA, May 22–26, 1995. New York, NY: Springer. IMA Vol. Math. Appl. 95, 51-88 (1997). Reviewer: André Martinez (Bologna) MSC: 35Q40 81Q20 PDFBibTeX XMLCite \textit{T. Paul}, IMA Vol. Math. Appl. 95, 51--88 (1997; Zbl 0893.35109)
Paul, T.; Uribe, A. On the pointwise behavior of semi-classical measures. (English) Zbl 0853.47038 Commun. Math. Phys. 175, No. 2, 229-258 (1996). MSC: 47N50 81R30 58J50 81Q20 PDFBibTeX XMLCite \textit{T. Paul} and \textit{A. Uribe}, Commun. Math. Phys. 175, No. 2, 229--258 (1996; Zbl 0853.47038) Full Text: DOI
Paul, Thierry; Uribe, Alejandro A construction of quasi-modes using coherent states. (English) Zbl 0808.35118 Ann. Inst. Henri Poincaré, Phys. Théor. 59, No. 4, 357-381 (1993). MSC: 35Q40 81R30 PDFBibTeX XMLCite \textit{T. Paul} and \textit{A. Uribe}, Ann. Inst. Henri Poincaré, Phys. Théor. 59, No. 4, 357--381 (1993; Zbl 0808.35118) Full Text: Numdam EuDML
Lions, Pierre Louis; Paul, Thierry On Wigner measures. (Sur les mesures de Wigner.) (French) Zbl 0801.35117 Rev. Mat. Iberoam. 9, No. 3, 553-618 (1993). Reviewer: M.Perelmuter (Kiev) MSC: 35Q40 81Q20 PDFBibTeX XMLCite \textit{P. L. Lions} and \textit{T. Paul}, Rev. Mat. Iberoam. 9, No. 3, 553--618 (1993; Zbl 0801.35117) Full Text: DOI EuDML
Paul, T.; Seip, K. Wavelets and quantum mechanics. (English) Zbl 0796.35140 Ruskai, Mary Beth (ed.) et al., Wavelets and their applications. Boston, MA etc.: Jones and Bartlett Publishers. 303-321 (1992). MSC: 35Q40 42C40 81Q20 PDFBibTeX XMLCite \textit{T. Paul} and \textit{K. Seip}, in: Wavelets and their applications. Boston, MA etc.: Jones and Bartlett Publishers. 303--321 (1992; Zbl 0796.35140)
Paul, T. Wavelets and path integral. (English) Zbl 0850.42007 Wavelets. Time-frequency methods and phase space, Proc. Int. Conf., Marseille/Fr. 1987, 204-208 (1989). MSC: 42C40 81Q30 28C20 PDFBibTeX XML
Graffi, Sandro; Paul, Thierry The Schrödinger equation and canonical perturbation theory. (English) Zbl 0622.35071 Commun. Math. Phys. 108, 25-40 (1987). Reviewer: G.Nenciu MSC: 35Q99 81Q15 35J10 35B20 PDFBibTeX XMLCite \textit{S. Graffi} and \textit{T. Paul}, Commun. Math. Phys. 108, 25--40 (1987; Zbl 0622.35071) Full Text: DOI
Daubechies, Ingrid; Klauder, John R.; Paul, Thierry Wiener measures for path integrals with affine kinematic variables. (English) Zbl 0615.58008 J. Math. Phys. 28, 85-102 (1987). MSC: 58D30 81S40 37J99 PDFBibTeX XMLCite \textit{I. Daubechies} et al., J. Math. Phys. 28, 85--102 (1987; Zbl 0615.58008) Full Text: DOI Link
Balslev, E.; Grossmann, A.; Paul, T. A characterisation of dilation-analytic operators. (English) Zbl 0624.47022 Ann. Inst. Henri Poincaré, Phys. Théor. 45, 277-292 (1986). Reviewer: Wu Jingbo MSC: 47B38 47A20 81R10 45P05 PDFBibTeX XMLCite \textit{E. Balslev} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 45, 277--292 (1986; Zbl 0624.47022) Full Text: Numdam EuDML