Mondal, Shyam Swarup; Swain, Jitendriya Restriction theorem for the Fourier-Hermite transform and solution of the Hermite-Schrödinger equation. (English) Zbl 07569601 Adv. Oper. Theory 7, No. 4, Paper No. 44, 18 p. (2022). MSC: 35Q41 47B10 35P10 35B65 PDF BibTeX XML Cite \textit{S. S. Mondal} and \textit{J. Swain}, Adv. Oper. Theory 7, No. 4, Paper No. 44, 18 p. (2022; Zbl 07569601) Full Text: DOI OpenURL
Lafleche, Laurent Global semiclassical limit from Hartree to Vlasov equation for concentrated initial data. (English) Zbl 1484.82024 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 6, 1739-1762 (2021). MSC: 82C10 35Q41 35Q55 82C05 35Q83 PDF BibTeX XML Cite \textit{L. Lafleche}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 6, 1739--1762 (2021; Zbl 1484.82024) Full Text: DOI arXiv OpenURL
Saffirio, Chiara From the Hartree equation to the Vlasov-Poisson system: strong convergence for a class of mixed states. (English) Zbl 1477.35270 SIAM J. Math. Anal. 52, No. 6, 5533-5553 (2020). MSC: 35Q83 35Q40 35Q60 82C40 PDF BibTeX XML Cite \textit{C. Saffirio}, SIAM J. Math. Anal. 52, No. 6, 5533--5553 (2020; Zbl 1477.35270) Full Text: DOI arXiv OpenURL
Tesfahun, Achenef Small data scattering for cubic Dirac equation with Hartree type nonlinearity in \(\mathbb{R}^{1+3} \). (English) Zbl 1446.35159 SIAM J. Math. Anal. 52, No. 3, 2969-3003 (2020). MSC: 35Q41 35Q55 35P25 PDF BibTeX XML Cite \textit{A. Tesfahun}, SIAM J. Math. Anal. 52, No. 3, 2969--3003 (2020; Zbl 1446.35159) Full Text: DOI arXiv OpenURL
Xie, Yingying; Su, Jian; Mei, Liquan Blowup results and concentration in focusing Schrödinger-Hartree equation. (English) Zbl 1440.35313 Discrete Contin. Dyn. Syst. 40, No. 8, 5001-5017 (2020). MSC: 35Q55 35Q41 35Q40 81Q05 35A01 35B44 PDF BibTeX XML Cite \textit{Y. Xie} et al., Discrete Contin. Dyn. Syst. 40, No. 8, 5001--5017 (2020; Zbl 1440.35313) Full Text: DOI OpenURL
Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy Higher order corrections to the mean-field description of the dynamics of interacting bosons. (English) Zbl 1439.82029 J. Stat. Phys. 178, No. 6, 1362-1396 (2020). MSC: 82C22 82C10 81V10 35Q55 35Q40 PDF BibTeX XML Cite \textit{L. Boßmann} et al., J. Stat. Phys. 178, No. 6, 1362--1396 (2020; Zbl 1439.82029) Full Text: DOI arXiv OpenURL
Masaki, Satoshi On the scattering problem of mass-subcritical Hartree equation. (English) Zbl 1435.35354 Kato, Keiichi (ed.) et al., Asymptotic analysis for nonlinear dispersive and wave equations. Proceedings of the international conference on asymptotic analysis for nonlinear dispersive and wave equations, Osaka University, Osaka, Japan, September 6–9, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 81, 259-309 (2019). MSC: 35Q55 35Q41 35P25 35B40 35B44 35A01 35A02 PDF BibTeX XML Cite \textit{S. Masaki}, Adv. Stud. Pure Math. 81, 259--309 (2019; Zbl 1435.35354) Full Text: DOI Euclid OpenURL
Hyakuna, Ryosuke Global solutions to the Hartree equation for large \(L^p\)-initial data. (English) Zbl 1427.35256 Indiana Univ. Math. J. 68, No. 4, 1149-1172 (2019). MSC: 35Q55 35A01 35Q41 35A02 81Q05 PDF BibTeX XML Cite \textit{R. Hyakuna}, Indiana Univ. Math. J. 68, No. 4, 1149--1172 (2019; Zbl 1427.35256) Full Text: DOI OpenURL
Bhimani, Divyang G. Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra. (English) Zbl 1428.35484 J. Differ. Equations 268, No. 1, 141-159 (2019). MSC: 35Q55 42B35 35A01 35R11 35Q41 PDF BibTeX XML Cite \textit{D. G. Bhimani}, J. Differ. Equations 268, No. 1, 141--159 (2019; Zbl 1428.35484) Full Text: DOI arXiv OpenURL
Watanabe, Michiyuki Time-dependent methods in inverse scattering problems for the Hartree-Fock equation. (English) Zbl 1428.82043 J. Math. Phys. 60, No. 9, 091504, 19 p. (2019). MSC: 82C22 81U20 81U40 37K15 35Q40 PDF BibTeX XML Cite \textit{M. Watanabe}, J. Math. Phys. 60, No. 9, 091504, 19 p. (2019; Zbl 1428.82043) Full Text: DOI arXiv OpenURL
Lafleche, Laurent Propagation of moments and semiclassical limit from Hartree to Vlasov equation. (English) Zbl 1426.82034 J. Stat. Phys. 177, No. 1, 20-60 (2019). MSC: 82C10 35Q41 35Q55 82C05 35Q83 82C22 PDF BibTeX XML Cite \textit{L. Lafleche}, J. Stat. Phys. 177, No. 1, 20--60 (2019; Zbl 1426.82034) Full Text: DOI arXiv OpenURL
Lee, Jinyeop On the time dependence of the rate of convergence towards Hartree dynamics for interacting bosons. (English) Zbl 1419.81044 J. Stat. Phys. 176, No. 2, 358-381 (2019). MSC: 81V70 81Q05 82C22 81T15 PDF BibTeX XML Cite \textit{J. Lee}, J. Stat. Phys. 176, No. 2, 358--381 (2019; Zbl 1419.81044) Full Text: DOI arXiv OpenURL
Chen, Thomas; Soffer, Avy Mean field dynamics of a quantum tracer particle interacting with a boson gas. (English) Zbl 1414.82026 J. Funct. Anal. 276, No. 3, 971-1006 (2019). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82C40 81V70 35Q40 82D05 PDF BibTeX XML Cite \textit{T. Chen} and \textit{A. Soffer}, J. Funct. Anal. 276, No. 3, 971--1006 (2019; Zbl 1414.82026) Full Text: DOI arXiv OpenURL
Hoshino, Gaku; Hyakuna, Ryosuke Trilinear \(L^p\) estimates with applications to the Cauchy problem for the Hartree-type equation. (English) Zbl 1404.35415 J. Math. Anal. Appl. 469, No. 1, 321-341 (2019). MSC: 35Q55 35Q41 81Q05 PDF BibTeX XML Cite \textit{G. Hoshino} and \textit{R. Hyakuna}, J. Math. Anal. Appl. 469, No. 1, 321--341 (2019; Zbl 1404.35415) Full Text: DOI OpenURL
Grushevskaya, Halina V.; Krylov, George; Gaisyonok, Victor A. Non-abelian currents in quasi-relativistic graphene model: general theory. (English) Zbl 1405.82016 Nonlinear Phenom. Complex Syst., Minsk 21, No. 3, 278-308 (2018). MSC: 82C10 82C70 81V70 PDF BibTeX XML Cite \textit{H. V. Grushevskaya} et al., Nonlinear Phenom. Complex Syst., Minsk 21, No. 3, 278--308 (2018; Zbl 1405.82016) Full Text: Link OpenURL
Golse, François; Paul, Thierry; Pulvirenti, Mario On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant. (English) Zbl 1400.82146 J. Funct. Anal. 275, No. 7, 1603-1649 (2018). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 82C10 35Q41 35Q55 82C05 35Q83 47L80 PDF BibTeX XML Cite \textit{F. Golse} et al., J. Funct. Anal. 275, No. 7, 1603--1649 (2018; Zbl 1400.82146) Full Text: DOI arXiv OpenURL
Chen, Thomas; Hong, Younghun; Pavlović, Nataša On the scattering problem for infinitely many fermions in dimensions \(d\geq 3\) at positive temperature. (English) Zbl 1383.81366 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 2, 393-416 (2018). MSC: 81V70 35Q40 81Q05 82B30 81P16 82C22 46E35 PDF BibTeX XML Cite \textit{T. Chen} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 2, 393--416 (2018; Zbl 1383.81366) Full Text: DOI arXiv OpenURL
Feng, Binhua; Zhang, Honghong; Zhao, Yanjun Stability of the Hartree equation with time-dependent coefficients. (English) Zbl 1378.35276 Bound. Value Probl. 2017, Paper No. 129, 9 p. (2017). MSC: 35Q55 49J20 35B25 PDF BibTeX XML Cite \textit{B. Feng} et al., Bound. Value Probl. 2017, Paper No. 129, 9 p. (2017; Zbl 1378.35276) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{F. Golse} and \textit{T. Paul}, Arch. Ration. Mech. Anal. 223, No. 1, 57--94 (2017; Zbl 1359.35164) Full Text: DOI arXiv OpenURL
Bhimani, Divyang G. The Cauchy problem for the Hartree type equation in modulation spaces. (English) Zbl 1330.35394 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 130, 190-201 (2016). MSC: 35Q55 42B35 35A01 35Q41 PDF BibTeX XML Cite \textit{D. G. Bhimani}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 130, 190--201 (2016; Zbl 1330.35394) Full Text: DOI OpenURL
Komech, A. I. On the Hartree-Fock dynamics in wave-matrix picture. (English) Zbl 1330.35361 Dyn. Partial Differ. Equ. 12, No. 2, 157-176 (2015). MSC: 35Q40 35Q41 35L10 34L25 47A40 81U05 PDF BibTeX XML Cite \textit{A. I. Komech}, Dyn. Partial Differ. Equ. 12, No. 2, 157--176 (2015; Zbl 1330.35361) Full Text: DOI arXiv OpenURL
Nishiyama, Seiya; da Providência, João \(\frac{\mathrm{SO}(2N)}{U(N)}\) Riccati-Hartree-Bogoliubov equation based on the \(\mathrm{SO}(2N)\) Lie algebra of the fermion operators. (English) Zbl 1312.81141 Int. J. Geom. Methods Mod. Phys. 12, No. 3, Article ID 1550035, 26 p. (2015). MSC: 81V70 81R05 81V35 81Q05 81Q35 22E70 32Q15 PDF BibTeX XML Cite \textit{S. Nishiyama} and \textit{J. da Providência}, Int. J. Geom. Methods Mod. Phys. 12, No. 3, Article ID 1550035, 26 p. (2015; Zbl 1312.81141) Full Text: DOI arXiv OpenURL
Lewin, Mathieu; Sabin, Julien The Hartree equation for infinitely many particles. II: Dispersion and scattering in 2D. (English) Zbl 1301.35122 Anal. PDE 7, No. 6, 1339-1363 (2014). MSC: 35Q40 82C22 35B35 PDF BibTeX XML Cite \textit{M. Lewin} and \textit{J. Sabin}, Anal. PDE 7, No. 6, 1339--1363 (2014; Zbl 1301.35122) Full Text: DOI arXiv OpenURL
Liard, Quentin; Pawilowski, Boris Mean field limit for bosons with compact kernels interactions by Wigner measures transportation. (English) Zbl 1302.82075 J. Math. Phys. 55, No. 9, 092304, 23 p. (2014). MSC: 82C22 82B30 81V70 81Q05 81S30 35Q40 PDF BibTeX XML Cite \textit{Q. Liard} and \textit{B. Pawilowski}, J. Math. Phys. 55, No. 9, 092304, 23 p. (2014; Zbl 1302.82075) Full Text: DOI arXiv OpenURL
Benedikter, Niels; Porta, Marcello; Schlein, Benjamin Mean-field evolution of fermionic systems. (English) Zbl 1304.82061 Commun. Math. Phys. 331, No. 3, 1087-1131 (2014). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 81V70 35Q40 35Q41 35Q55 82B30 82B41 82D20 82B44 PDF BibTeX XML Cite \textit{N. Benedikter} et al., Commun. Math. Phys. 331, No. 3, 1087--1131 (2014; Zbl 1304.82061) Full Text: DOI arXiv OpenURL
Buchholz, Simon; Saffirio, Chiara; Schlein, Benjamin Multivariate central limit theorem in quantum dynamics. (English) Zbl 1291.82079 J. Stat. Phys. 154, No. 1-2, 113-152 (2014). MSC: 82C22 35Q40 60F05 81V70 35Q55 PDF BibTeX XML Cite \textit{S. Buchholz} et al., J. Stat. Phys. 154, No. 1--2, 113--152 (2014; Zbl 1291.82079) Full Text: DOI arXiv OpenURL
Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging. (English) Zbl 1294.35129 Arch. Ration. Mech. Anal. 211, No. 3, 711-732 (2014). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q41 78A60 PDF BibTeX XML Cite \textit{P. Antonelli} et al., Arch. Ration. Mech. Anal. 211, No. 3, 711--732 (2014; Zbl 1294.35129) Full Text: DOI arXiv Link OpenURL
Amour, L.; Khodja, M.; Nourrigat, J. Approximative composition of Wick symbols and applications to the time dependent Hartree-Fock equation. (English) Zbl 1287.47058 Asymptotic Anal. 85, No. 3-4, 229-248 (2013). Reviewer: Jean-Pierre Magnot (Clermont-Ferrand) MSC: 47N50 47G30 81Q20 35S05 PDF BibTeX XML Cite \textit{L. Amour} et al., Asymptotic Anal. 85, No. 3--4, 229--248 (2013; Zbl 1287.47058) Full Text: DOI OpenURL
Amour, Laurent; Khodja, Mohamed; Nourrigat, Jean The semiclassical limit of the time dependent Hartree-Fock equation: the Weyl symbol of the solution. (English) Zbl 1291.35456 Anal. PDE 6, No. 7, 1649-1674 (2013). MSC: 35S05 81Q20 82C10 PDF BibTeX XML Cite \textit{L. Amour} et al., Anal. PDE 6, No. 7, 1649--1674 (2013; Zbl 1291.35456) Full Text: DOI arXiv OpenURL
Lenzmann, Enno; Lewin, Mathieu Dynamical ionization bounds for atoms. (English) Zbl 1284.35404 Anal. PDE 6, No. 5, 1183-1211 (2013). MSC: 35Q55 81Q05 81Q10 35Q41 81V45 PDF BibTeX XML Cite \textit{E. Lenzmann} and \textit{M. Lewin}, Anal. PDE 6, No. 5, 1183--1211 (2013; Zbl 1284.35404) Full Text: DOI arXiv OpenURL
Bellazzini, Jacopo; Jeanjean, Louis; Luo, Tingjian Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations. (English) Zbl 1284.35391 Proc. Lond. Math. Soc. (3) 107, No. 2, 303-339 (2013). MSC: 35Q55 35Q41 37K45 35B35 PDF BibTeX XML Cite \textit{J. Bellazzini} et al., Proc. Lond. Math. Soc. (3) 107, No. 2, 303--339 (2013; Zbl 1284.35391) Full Text: DOI arXiv OpenURL
Stefanucci, Gianluca; van Leeuwen, Robert Nonequilibrium many-body theory of quantum systems. A modern introduction. (English) Zbl 1276.82002 Cambridge: Cambridge University Press (ISBN 978-0-521-76617-3/hbk; 978-1-107-35207-0/ebook). xvii, 600 p. (2013). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82-01 82Cxx 81-01 81V70 PDF BibTeX XML Cite \textit{G. Stefanucci} and \textit{R. van Leeuwen}, Nonequilibrium many-body theory of quantum systems. A modern introduction. Cambridge: Cambridge University Press (2013; Zbl 1276.82002) Full Text: DOI OpenURL
Nakamura, Makoto; Tsutaya, Kimitoshi Scattering theory for the Dirac equation of Hartree type and the semirelativistic Hartree equation. (English) Zbl 1236.35135 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3531-3542 (2012). MSC: 35Q41 35P25 47A40 81Q05 81U99 PDF BibTeX XML Cite \textit{M. Nakamura} and \textit{K. Tsutaya}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3531--3542 (2012; Zbl 1236.35135) Full Text: DOI OpenURL
Zheng, Jiqiang On blow-up for the Hartree equation. (English) Zbl 1238.35114 Colloq. Math. 126, No. 1, 111-124 (2012). MSC: 35Q40 35Q41 35B44 PDF BibTeX XML Cite \textit{J. Zheng}, Colloq. Math. 126, No. 1, 111--124 (2012; Zbl 1238.35114) Full Text: DOI OpenURL
Chen, Li; Lee, Ji Oon; Schlein, Benjamin Rate of convergence towards Hartree dynamics. (English) Zbl 1227.82046 J. Stat. Phys. 144, No. 4, 872-903 (2011). MSC: 82C22 35Q82 81V70 35Q55 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Stat. Phys. 144, No. 4, 872--903 (2011; Zbl 1227.82046) Full Text: DOI arXiv OpenURL
Bardos, Claude; Catto, Isabelle; Mauser, Norbert; Trabelsi, Saber Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations. (English) Zbl 1229.35221 Arch. Ration. Mech. Anal. 198, No. 1, 273-330 (2010). Reviewer: M. Marin (Brasov) MSC: 35Q40 35Q41 34L40 18F15 35Q55 PDF BibTeX XML Cite \textit{C. Bardos} et al., Arch. Ration. Mech. Anal. 198, No. 1, 273--330 (2010; Zbl 1229.35221) Full Text: DOI arXiv OpenURL
Bauch, Sebastian; Balzer, Karsten; Ludwig, Patrick; Bonitz, Michael Introduction to quantum plasma simulations. (English) Zbl 1216.82037 Bonitz, Michael (ed.) et al., Introduction to complex plasmas. Papers based on the workshop at the graduate summer institute on “Complex Plasmas”, Hoboken, NJ, USA, July 30 – August 8, 2008. Berlin: Springer (ISBN 978-3-642-10591-3/hbk; 978-3-642-10592-0/ebook). Springer Series on Atomic, Optical, and Plasma Physics 59, 79-107 (2010). MSC: 82D10 81Q05 82C80 81V70 35Q41 PDF BibTeX XML Cite \textit{S. Bauch} et al., Springer Ser. At. Opt. Plasma Phys. 59, 79--107 (2010; Zbl 1216.82037) OpenURL
Ducomet, Bernard Weak interaction limit for nuclear matter and the time-dependent Hartree-Fock equation. (English) Zbl 1224.81018 Appl. Math., Praha 55, No. 3, 197-219 (2010). MSC: 81V35 81Q05 81V70 PDF BibTeX XML Cite \textit{B. Ducomet}, Appl. Math., Praha 55, No. 3, 197--219 (2010; Zbl 1224.81018) Full Text: DOI EuDML Link OpenURL
Koch, Othmar; Ede, Christopher; Jordan, Gerald; Scrinzi, Armin Hierarchical matrices in computations of electron dynamics. (English) Zbl 1203.81003 J. Sci. Comput. 42, No. 3, 447-455 (2010). MSC: 81-08 65M75 81Q05 PDF BibTeX XML Cite \textit{O. Koch} et al., J. Sci. Comput. 42, No. 3, 447--455 (2010; Zbl 1203.81003) Full Text: DOI Link OpenURL
Schlein, Benjamin Derivation of effective evolution equations from many body quantum dynamics. (English) Zbl 1205.82043 Exner, Pavel (ed.), XVIth international congress on mathematical physics, Prague, Czech Republic, August 3–8, 2009. With DVD. Hackensack, NJ: World Scientific (ISBN 978-981-4304-62-7/hbk). 406-416 (2010). MSC: 82B10 35Q41 81V70 PDF BibTeX XML Cite \textit{B. Schlein}, in: XVIth international congress on mathematical physics, Prague, Czech Republic, August 3--8, 2009. With DVD. Hackensack, NJ: World Scientific. 406--416 (2010; Zbl 1205.82043) Full Text: arXiv OpenURL
Yserentant, Harry Regularity and approximability of electronic wave functions. (English) Zbl 1204.35003 Lecture Notes in Mathematics 2000. Dordrecht: Springer (ISBN 978-3-642-12247-7/pbk; 978-3-642-12248-4/ebook). viii, 182 p. (2010). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 35-02 35Q60 35Q41 PDF BibTeX XML Cite \textit{H. Yserentant}, Regularity and approximability of electronic wave functions. Dordrecht: Springer (2010; Zbl 1204.35003) Full Text: DOI OpenURL
Machihara, Shuji; Tsutaya, Kimitoshi Scattering theory for the Dirac equation of Hartree type in \(2+1\) dimensions. (English) Zbl 1239.35130 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2437-e2441 (2009). MSC: 35Q41 35P25 46E35 PDF BibTeX XML Cite \textit{S. Machihara} and \textit{K. Tsutaya}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2437--e2441 (2009; Zbl 1239.35130) Full Text: DOI OpenURL
Bosi, Roberta Classical limit for linear and nonlinear quantum Fokker-Planck systems. (English) Zbl 1166.81038 Commun. Pure Appl. Anal. 8, No. 3, 845-870 (2009). MSC: 81V70 81Q15 82C10 35Q40 35S10 47J35 47H06 47H20 81Q99 81V99 81S25 82C31 82C70 PDF BibTeX XML Cite \textit{R. Bosi}, Commun. Pure Appl. Anal. 8, No. 3, 845--870 (2009; Zbl 1166.81038) Full Text: DOI OpenURL
Salem, Walid Khaled Abou A remark on the mean-field dynamics of many-body bosonic systems with random interactions and in a random potential. (English) Zbl 1167.82308 Lett. Math. Phys. 84, No. 2-3, 231-243 (2008). MSC: 82B10 35Q55 47N50 82C10 82C44 PDF BibTeX XML Cite \textit{W. K. A. Salem}, Lett. Math. Phys. 84, No. 2--3, 231--243 (2008; Zbl 1167.82308) Full Text: DOI arXiv OpenURL
Arnold, Anton; Dhamo, Elidon; Manzini, Chiara The Wigner-Poisson-Fokker-Planck system: global-in-time solution and dispersive effects. (English) Zbl 1121.82031 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 4, 645-676 (2007). MSC: 82C40 35Q40 PDF BibTeX XML Cite \textit{A. Arnold} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 4, 645--676 (2007; Zbl 1121.82031) Full Text: DOI arXiv Numdam EuDML OpenURL
Bokanowski, Olivier; López, José L.; Sánchez, Óscar; Soler, Juan Long time behaviour to the Schrödinger-Poisson-\(X^{\alpha }\) systems. (English) Zbl 1170.82425 Asch, Joachim (ed.) et al., Mathematical physics of quantum mechanics. Selected and refereed lectures from the QMath9 conference, Giens, France, September 12–16, 2004. Berlin: Springer (ISBN 3-540-31026-6/hbk). Lecture Notes in Physics 690, 217-232 (2006). MSC: 82D37 82C70 PDF BibTeX XML Cite \textit{O. Bokanowski} et al., Lect. Notes Phys. 690, 217--232 (2006; Zbl 1170.82425) Full Text: DOI OpenURL
Koch, Othmar Efficient computation of the MCTDHF approximation to the time-dependent Schrödinger equation. (English) Zbl 1131.65081 Opusc. Math. 26, No. 3, 483-497 (2006). MSC: 65M20 65M60 81Q05 35Q40 PDF BibTeX XML Cite \textit{O. Koch}, Opusc. Math. 26, No. 3, 483--497 (2006; Zbl 1131.65081) OpenURL
Koch, Othmar; Kreuzer, Wolfgang; Scrinzi, Armin Approximation of the time-dependent electronic Schrödinger equation by MCTDHF. (English) Zbl 1088.65092 Appl. Math. Comput. 173, No. 2, 960-976 (2006). MSC: 65M70 35Q40 81Q05 65M20 PDF BibTeX XML Cite \textit{O. Koch} et al., Appl. Math. Comput. 173, No. 2, 960--976 (2006; Zbl 1088.65092) Full Text: DOI OpenURL
Graffi, S.; Martinez, A.; Pulvirenti, M. Mean-field approximation of quantum systems and classical limit. (English) Zbl 1049.81022 Math. Models Methods Appl. Sci. 13, No. 1, 59-73 (2003). MSC: 81Q10 60K35 81Q20 82C21 82C22 81T27 35Q55 PDF BibTeX XML Cite \textit{S. Graffi} et al., Math. Models Methods Appl. Sci. 13, No. 1, 59--73 (2003; Zbl 1049.81022) Full Text: DOI arXiv OpenURL
Bardos, Claude; Golse, François; Gottlieb, Alex D.; Mauser, Norbert J. Mean field dynamics of fermions and the time-dependent Hartree-Fock equation. (English) Zbl 1029.82022 J. Math. Pures Appl., IX. Sér. 82, No. 6, 665-683 (2003). MSC: 82C10 82C22 35Q55 47N50 PDF BibTeX XML Cite \textit{C. Bardos} et al., J. Math. Pures Appl. (9) 82, No. 6, 665--683 (2003; Zbl 1029.82022) Full Text: DOI arXiv OpenURL
Korolkova, Natalia; Loudon, Rodney; Gardavsky, Gerlinde; Hamilton, Murray W.; Leuchs, Gerd Time evolution of a quantum soliton in a Kerr medium. (English) Zbl 1025.81058 J. Mod. Opt. 48, No. 8, 1339-1355 (2001). Reviewer: Václav Burjan (Praha) MSC: 81V80 35Q51 35Q55 78A60 PDF BibTeX XML Cite \textit{N. Korolkova} et al., J. Mod. Opt. 48, No. 8, 1339--1355 (2001; Zbl 1025.81058) Full Text: DOI OpenURL
Bérard, A.; Grandati, Y. Stochastic quantization approach for the Ising model. (English) Zbl 0962.82042 Int. J. Theor. Phys. 38, No. 10, 2535-2548 (1999). MSC: 82C20 81S20 82C31 PDF BibTeX XML Cite \textit{A. Bérard} and \textit{Y. Grandati}, Int. J. Theor. Phys. 38, No. 10, 2535--2548 (1999; Zbl 0962.82042) Full Text: DOI OpenURL
Wada, Takeshi Scattering theory for time-dependent Hartree-Fock type equation. (English) Zbl 0933.35150 RIMS Kokyuroku 1061, 1-12 (1998). MSC: 35P25 35J10 35Q40 81U10 PDF BibTeX XML Cite \textit{T. Wada}, RIMS Kokyuroku 1061, 1--12 (1998; Zbl 0933.35150) OpenURL
Gasser, I.; Illner, R.; Markowich, P. A.; Schmeiser, C. Semiclassical, \(t\to \infty\) asymptotics and dispersive effects for Hartree-Fock systems. (English) Zbl 0924.35125 RAIRO, Modélisation Math. Anal. Numér. 32, No. 6, 699-713 (1998). Reviewer: Marcel Griesemer (Birmingham / Alabama) MSC: 35Q40 82C22 PDF BibTeX XML Cite \textit{I. Gasser} et al., RAIRO, Modélisation Math. Anal. Numér. 32, No. 6, 699--713 (1998; Zbl 0924.35125) Full Text: DOI EuDML OpenURL
Klakow, D.; Reinhard, P.-G.; Toepffer, C. Semiclassical dynamics in a fluctuating potential. (English) Zbl 0926.35126 Ann. Phys. 259, No. 2, 141-162 (1997). MSC: 35Q40 81Q20 PDF BibTeX XML Cite \textit{D. Klakow} et al., Ann. Phys. 259, No. 2, 141--162 (1997; Zbl 0926.35126) Full Text: DOI OpenURL
Klevansky, S. P.; Ogura, A.; Hüfner, J. Derivation of transport equations for a strongly interacting Lagrangian in powers of \(h\) and \(1/N_c\). (English) Zbl 0966.82012 Ann. Phys. 261, No. 1, 37-73 (1997). MSC: 82C10 82C70 PDF BibTeX XML Cite \textit{S. P. Klevansky} et al., Ann. Phys. 261, No. 1, 37--73 (1997; Zbl 0966.82012) Full Text: DOI arXiv OpenURL
Presilla, Carlo; Sjöstrand, Johannes Transport properties in resonant tunneling heterostructures. (English) Zbl 0868.35112 J. Math. Phys. 37, No. 10, 4816-4844 (1996). Reviewer: B.A.Malomed (Tel Aviv) MSC: 35Q55 81Q20 34E20 82C70 PDF BibTeX XML Cite \textit{C. Presilla} and \textit{J. Sjöstrand}, J. Math. Phys. 37, No. 10, 4816--4844 (1996; Zbl 0868.35112) Full Text: DOI arXiv OpenURL
Meyer, H.-D.; Manthe, U.; Cederbaum, L. S. The multi-configuration Hartree approach. (English) Zbl 0816.65116 Cerjan, C. (ed.), Numerical grid methods and their application to Schrödinger’s equation. Proceedings of the NATO advanced research workshop on grid methods in atomic and molecular quantum calculations held in Corte, Corsica, France, September 27-October 3, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 412, 141-152 (1993). MSC: 65Z05 65M60 35Q55 81Q05 PDF BibTeX XML Cite \textit{H. D. Meyer} et al., NATO ASI Ser., Ser. C, Math. Phys. Sci. 412, 141--152 (1993; Zbl 0816.65116) OpenURL
Reinhard, P.-G.; Suraud, E. Stochastic TDHF and the Boltzmann-Langevin equation. (English) Zbl 0875.60012 Ann. Phys. 216, No. 1, 98-121 (1992). MSC: 60H10 81S25 81V35 81V45 PDF BibTeX XML Cite \textit{P. G. Reinhard} and \textit{E. Suraud}, Ann. Phys. 216, No. 1, 98--121 (1992; Zbl 0875.60012) Full Text: DOI OpenURL
Horiuchi, H. Scattering between composite particles composed of fermions in the one-dimensional delta-force model. (English) Zbl 0875.81037 Ann. Phys. 198, No. 1, 56-78 (1990). MSC: 81U99 35Q51 35Q53 PDF BibTeX XML Cite \textit{H. Horiuchi}, Ann. Phys. 198, No. 1, 56--78 (1990; Zbl 0875.81037) Full Text: DOI OpenURL
Meyer, H.-D.; Kučar, J.; Cederbaum, L. S. Time-dependent rotated Hartree: Formal development. (English) Zbl 0671.35072 J. Math. Phys. 29, No. 6, 1417-1430 (1988). MSC: 35Q99 49S05 PDF BibTeX XML Cite \textit{H. D. Meyer} et al., J. Math. Phys. 29, No. 6, 1417--1430 (1988; Zbl 0671.35072) Full Text: DOI OpenURL
Dean, E.; Glowinski, R.; Li, C. H. Applications of operator splitting methods to the numerical solution of nonlinear problems in continuum mechanics and physics. (English) Zbl 0637.65100 Mathematics applied to science, Mem. E. D. Conway, Proc. Conf., Tulane Univ., New Orleans/La. 1986, 13-64 (1988). Reviewer: E.Schechter MSC: 65N12 65N25 65J15 76D05 35Q99 35P15 35Q30 PDF BibTeX XML OpenURL
Hayashi, Nakao; Ozawa, Tohru Time decay of solutions to the Cauchy problem for time-dependent Schrödinger-Hartree equations. (English) Zbl 0648.35078 Commun. Math. Phys. 110, 467-478 (1987). MSC: 35Q99 35G20 35B65 35B35 PDF BibTeX XML Cite \textit{N. Hayashi} and \textit{T. Ozawa}, Commun. Math. Phys. 110, 467--478 (1987; Zbl 0648.35078) Full Text: DOI OpenURL
Ballian, Roger; Vénéroni, Marcel Time-dependent variational principle for the expectation value of an observable: mean-field applications. (English) Zbl 0611.46072 Ann. Phys. 164, 334-410 (1985). Reviewer: G.Loupias MSC: 46N99 49J27 81Q99 PDF BibTeX XML Cite \textit{R. Ballian} and \textit{M. Vénéroni}, Ann. Phys. 164, 334--410 (1985; Zbl 0611.46072) Full Text: DOI OpenURL
Isozaki, Hiroshi On the existence of solutions to time-dependent Hartree-Fock equations. (English) Zbl 0526.35073 Publ. Res. Inst. Math. Sci. 19, 107-115 (1983). MSC: 35Q99 81Q05 35B40 35A05 PDF BibTeX XML Cite \textit{H. Isozaki}, Publ. Res. Inst. Math. Sci. 19, 107--115 (1983; Zbl 0526.35073) Full Text: DOI OpenURL
Cazenave, T.; Lions, Pierre-Louis Orbital stability of standing waves for some nonlinear Schrödinger equations. (English) Zbl 0513.35007 Commun. Math. Phys. 85, 549-561 (1982). MSC: 35B35 35J60 35Q99 35J10 PDF BibTeX XML Cite \textit{T. Cazenave} and \textit{P.-L. Lions}, Commun. Math. Phys. 85, 549--561 (1982; Zbl 0513.35007) Full Text: DOI OpenURL
Davies, E. B. Some time-dependent Hartree equations. (English) Zbl 0428.35023 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 31, 319-337 (1979). MSC: 35J10 35Q99 35A05 PDF BibTeX XML Cite \textit{E. B. Davies}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 31, 319--337 (1979; Zbl 0428.35023) Full Text: Numdam EuDML OpenURL