Edit Profile (opens in new tab) Skibsted, Erik Co-Author Distance Author ID: skibsted.erik Published as: Skibsted, Erik; Skibsted, E. Documents Indexed: 73 Publications since 1985, including 1 Book and 7 Additional arXiv Preprints Co-Authors: 16 Co-Authors with 51 Joint Publications 268 Co-Co-Authors all top 5 Co-Authors 22 single-authored 17 Ito, Kenichi 15 Herbst, Ira W. 5 Balslev, Erik 5 Møller, Jacob Schach 4 Adachi, Tadayoshi 4 Itakura, Kyohei 3 Dereziński, Jan 2 Cornean, Horia D. 2 Faupin, Jérémy 2 Fournais, Søren 2 Gérard, Christian 2 Isozaki, Hiroshi 2 Wang, Xueping 1 Agmon, Shmuel 1 Cruz-Sampedro, Jaime 1 Jensen, Arne all top 5 Serials 7 Communications in Mathematical Physics 6 Journal of Functional Analysis 5 Reviews in Mathematical Physics 5 Advances in Mathematics 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Annales Henri Poincaré 3 Journal of Mathematical Analysis and Applications 2 Journal d’Analyse Mathématique 2 Duke Mathematical Journal 2 Journal of Differential Equations 2 Communications in Partial Differential Equations 1 Annales de l’Institut Fourier 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 RIMS Kôkyûroku Bessatsu 1 Pure and Applied Functional Analysis all top 5 Fields 53 Quantum theory (81-XX) 48 Partial differential equations (35-XX) 19 Operator theory (47-XX) 10 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 465 times in 249 Documents Cited by ▼ Year ▼ Propagation estimates for \(N\)-body Schrödinger operators. Zbl 0760.35035 Skibsted, Erik 41 1991 Spectral analysis of \(N\)-body systems coupled to a bosonic field. Zbl 0945.81008 Skibsted, Erik 35 1998 Perturbation of embedded eigenvalues in the generalized N-body problem. Zbl 0668.35078 Agmon, Shmuel; Herbst, Ira; Skibsted, Erik 30 1989 Truncated Gamow functions, \(\alpha\)-decay and the exponential law. Zbl 0594.58062 Skibsted, Erik 24 1986 Spectral analysis of \(N\)-body Stark Hamiltonians. Zbl 0846.35095 Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik 20 1995 Asymptotic completeness for \(N\)-body Stark Hamiltonians. Zbl 0846.35096 Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik 20 1996 Zero energy asymptotics of the resolvent for a class of slowly decaying potentials. Zbl 1177.35057 Fournais, S.; Skibsted, E. 19 2004 Free channel Fourier transform in the long-range \(N\)-body problem. Zbl 0866.70008 Herbst, Ira; Skibsted, Erik 18 1995 \(N\)-body resolvent estimates. Zbl 0851.35101 Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 17 1996 Second order perturbation theory for embedded eigenvalues. Zbl 1229.47019 Faupin, J.; Møller, J. S.; Skibsted, E. 16 2011 Spectral theory of time-periodic many-body systems. Zbl 1060.81021 Møller, Jacob Schach; Skibsted, Erik 16 2004 Scattering theory for Riemannian Laplacians. Zbl 1269.58013 Ito, K.; Skibsted, E. 15 2013 Smoothness of \(N\)-body scattering amplitudes. Zbl 0781.35047 Skibsted, Erik 14 1992 Commutator algebra and resolvent estimates. Zbl 0814.35086 Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 12 1994 On the evolution of resonance states. Zbl 0688.47006 Skibsted, Erik 11 1989 Quantum scattering at low energies. Zbl 1180.81127 Dereziński, J.; Skibsted, E. 11 2009 Quantum scattering for potentials independent of \(|x|\): asymptotic completeness for high and low energies. Zbl 1064.35128 Herbst, Ira; Skibsted, Erik 11 2004 Regularity of bound states. Zbl 1226.81295 Faupin, Jeremy; Møller, Jacob Schach; Skibsted, Erik 10 2011 Time-dependent scattering theory on manifolds. Zbl 1417.81161 Ito, K.; Skibsted, E. 10 2019 Decay of eigenfunctions of elliptic PDE’s. I. Zbl 1328.81115 Herbst, I.; Skibsted, E. 9 2015 Absence of embedded eigenvalues for Riemannian Laplacians. Zbl 1287.58018 Ito, K.; Skibsted, E. 9 2013 Time-dependent approach to radiation conditions. Zbl 0756.35063 Herbst, Ira; Skibsted, Erik 8 1991 Absence of quantum states corresponding to unstable classical channels. Zbl 1141.81029 Herbst, Ira; Skibsted, Erik 7 2008 Two-body threshold spectral analysis, the critical case. Zbl 1210.81036 Skibsted, Erik; Wang, Xue Ping 7 2011 Resonance theory of two-body Schrödinger operators. Zbl 0714.35063 Balslev, E.; Skibsted, E. 7 1989 Scattering at zero energy for attractive homogeneous potentials. Zbl 1213.81210 Dereziński, Jan; Skibsted, Erik 5 2009 Analyticity estimates for the Navier-Stokes equations. Zbl 1284.35315 Herbst, I.; Skibsted, E. 5 2011 Radiation condition bounds on manifolds with ends. Zbl 1442.58018 Ito, K.; Skibsted, E. 5 2020 Spectral theory for 1-body Stark operators. Zbl 1435.35268 Adachi, T.; Itakura, K.; Ito, K.; Skibsted, E. 5 2020 Decay of eigenfunctions of elliptic PDE’s. II. Zbl 1364.35209 Herbst, I.; Skibsted, E. 4 2017 Absence of positive eigenvalues for hard-core \(N\)-body systems. Zbl 1304.81163 Ito, Kenichi; Skibsted, Erik 4 2014 Boundedness of two- and three-body resonances. Zbl 0597.35027 Balslev, Erik; Skibsted, Erik 3 1985 Asymptotic completeness for particles in combined constant electric and magnetic fields. II. Zbl 1144.35350 Skibsted, Erik 3 1997 Renormalized two-body low-energy scattering. Zbl 1303.81200 Skibsted, E. 3 2014 Spiraling attractors and quantum dynamics for a class of long-range magnetic fields. Zbl 1125.35069 Cornean, Horia D.; Herbst, Ira; Skibsted, Erik 2 2007 On the asymptotic completeness for particles in constant electromagnetic fields. Zbl 0865.35127 Skibsted, Erik 2 1996 Classical scattering at low energies. Zbl 1199.81036 Skibsted, E.; Dereziński, J. 2 2008 Absolute spectral continuity for N-body Stark Hamiltonians. Zbl 0812.35115 Skibsted, Erik 2 1994 Resonances of Schrödinger operators with potentials \(\gamma r^{\beta}\,\exp (-\zeta r^{\alpha})\), \(\zeta >0,\beta >-2\) and \(\alpha >1\). Zbl 0611.35014 Skibsted, Erik 2 1986 Truncated Gamow functions and the exponential decay law. Zbl 0618.58029 Skibsted, Erik 2 1987 Asymptotic and analytic properties of resonance functions. Zbl 0713.35067 Balslev, Erik; Skibsted, Erik 2 1990 Long-range scattering of three-body quantum systems: asymptotic completeness. Zbl 1041.81101 Skibsted, Erik 2 2003 Quantum scattering for potentials homogeneous of degree zero. Zbl 1042.81095 Herbst, I.; Skibsted, E. 2 2002 Sommerfeld radiation condition at threshold. Zbl 1275.81086 Skibsted, E. 2 2013 New methods in spectral theory of \(N\)-body Schrödinger operators. Zbl 1499.81044 Adachi, T.; Itakura, K.; Ito, K.; Skibsted, E. 2 2021 Resonance functions of two-body Schrödinger operators. Zbl 0679.35075 Balslev, Erik; Skibsted, Erik 1 1988 Resonances and poles of the S-matrix. Zbl 0684.35077 Balslev, Erik; Skibsted, Erik 1 1989 \(\alpha\)-decay and the exponential law. Zbl 0607.35079 Skibsted, Erik 1 1986 Absence of positive eigenvalues for hard-core \(N\)-body systems. Zbl 1302.81101 Ito, K.; Skibsted, E. 1 2014 Rellich’s theorem and \(N\)-body Schrödinger operators. Zbl 1344.81086 Ito, K.; Skibsted, E. 1 2016 Long-range scattering of three-body quantum systems. II. Zbl 1044.81125 Skibsted, Erik 1 2003 Global solutions to the eikonal equation. Zbl 1284.35125 Cruz-Sampedro, J.; Skibsted, E. 1 2013 Stationary scattering theory for one-body Stark operators. I. Zbl 1492.81083 Adachi, T.; Itakura, K.; Ito, K.; Skibsted, E. 1 2022 Stationary scattering theory on manifolds. (Théorie stationnaire de la diffusion sur les variétés.) Zbl 07492534 Ito, Kenichi; Skibsted, Erik 1 2021 Stationary scattering theory for one-body Stark operators. I. Zbl 1492.81083 Adachi, T.; Itakura, K.; Ito, K.; Skibsted, E. 1 2022 New methods in spectral theory of \(N\)-body Schrödinger operators. Zbl 1499.81044 Adachi, T.; Itakura, K.; Ito, K.; Skibsted, E. 2 2021 Stationary scattering theory on manifolds. (Théorie stationnaire de la diffusion sur les variétés.) Zbl 07492534 Ito, Kenichi; Skibsted, Erik 1 2021 Radiation condition bounds on manifolds with ends. Zbl 1442.58018 Ito, K.; Skibsted, E. 5 2020 Spectral theory for 1-body Stark operators. Zbl 1435.35268 Adachi, T.; Itakura, K.; Ito, K.; Skibsted, E. 5 2020 Time-dependent scattering theory on manifolds. Zbl 1417.81161 Ito, K.; Skibsted, E. 10 2019 Decay of eigenfunctions of elliptic PDE’s. II. Zbl 1364.35209 Herbst, I.; Skibsted, E. 4 2017 Rellich’s theorem and \(N\)-body Schrödinger operators. Zbl 1344.81086 Ito, K.; Skibsted, E. 1 2016 Decay of eigenfunctions of elliptic PDE’s. I. Zbl 1328.81115 Herbst, I.; Skibsted, E. 9 2015 Absence of positive eigenvalues for hard-core \(N\)-body systems. Zbl 1304.81163 Ito, Kenichi; Skibsted, Erik 4 2014 Renormalized two-body low-energy scattering. Zbl 1303.81200 Skibsted, E. 3 2014 Absence of positive eigenvalues for hard-core \(N\)-body systems. Zbl 1302.81101 Ito, K.; Skibsted, E. 1 2014 Scattering theory for Riemannian Laplacians. Zbl 1269.58013 Ito, K.; Skibsted, E. 15 2013 Absence of embedded eigenvalues for Riemannian Laplacians. Zbl 1287.58018 Ito, K.; Skibsted, E. 9 2013 Sommerfeld radiation condition at threshold. Zbl 1275.81086 Skibsted, E. 2 2013 Global solutions to the eikonal equation. Zbl 1284.35125 Cruz-Sampedro, J.; Skibsted, E. 1 2013 Second order perturbation theory for embedded eigenvalues. Zbl 1229.47019 Faupin, J.; Møller, J. S.; Skibsted, E. 16 2011 Regularity of bound states. Zbl 1226.81295 Faupin, Jeremy; Møller, Jacob Schach; Skibsted, Erik 10 2011 Two-body threshold spectral analysis, the critical case. Zbl 1210.81036 Skibsted, Erik; Wang, Xue Ping 7 2011 Analyticity estimates for the Navier-Stokes equations. Zbl 1284.35315 Herbst, I.; Skibsted, E. 5 2011 Quantum scattering at low energies. Zbl 1180.81127 Dereziński, J.; Skibsted, E. 11 2009 Scattering at zero energy for attractive homogeneous potentials. Zbl 1213.81210 Dereziński, Jan; Skibsted, Erik 5 2009 Absence of quantum states corresponding to unstable classical channels. Zbl 1141.81029 Herbst, Ira; Skibsted, Erik 7 2008 Classical scattering at low energies. Zbl 1199.81036 Skibsted, E.; Dereziński, J. 2 2008 Spiraling attractors and quantum dynamics for a class of long-range magnetic fields. Zbl 1125.35069 Cornean, Horia D.; Herbst, Ira; Skibsted, Erik 2 2007 Zero energy asymptotics of the resolvent for a class of slowly decaying potentials. Zbl 1177.35057 Fournais, S.; Skibsted, E. 19 2004 Spectral theory of time-periodic many-body systems. Zbl 1060.81021 Møller, Jacob Schach; Skibsted, Erik 16 2004 Quantum scattering for potentials independent of \(|x|\): asymptotic completeness for high and low energies. Zbl 1064.35128 Herbst, Ira; Skibsted, Erik 11 2004 Long-range scattering of three-body quantum systems: asymptotic completeness. Zbl 1041.81101 Skibsted, Erik 2 2003 Long-range scattering of three-body quantum systems. II. Zbl 1044.81125 Skibsted, Erik 1 2003 Quantum scattering for potentials homogeneous of degree zero. Zbl 1042.81095 Herbst, I.; Skibsted, E. 2 2002 Spectral analysis of \(N\)-body systems coupled to a bosonic field. Zbl 0945.81008 Skibsted, Erik 35 1998 Asymptotic completeness for particles in combined constant electric and magnetic fields. II. Zbl 1144.35350 Skibsted, Erik 3 1997 Asymptotic completeness for \(N\)-body Stark Hamiltonians. Zbl 0846.35096 Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik 20 1996 \(N\)-body resolvent estimates. Zbl 0851.35101 Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 17 1996 On the asymptotic completeness for particles in constant electromagnetic fields. Zbl 0865.35127 Skibsted, Erik 2 1996 Spectral analysis of \(N\)-body Stark Hamiltonians. Zbl 0846.35095 Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik 20 1995 Free channel Fourier transform in the long-range \(N\)-body problem. Zbl 0866.70008 Herbst, Ira; Skibsted, Erik 18 1995 Commutator algebra and resolvent estimates. Zbl 0814.35086 Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 12 1994 Absolute spectral continuity for N-body Stark Hamiltonians. Zbl 0812.35115 Skibsted, Erik 2 1994 Smoothness of \(N\)-body scattering amplitudes. Zbl 0781.35047 Skibsted, Erik 14 1992 Propagation estimates for \(N\)-body Schrödinger operators. Zbl 0760.35035 Skibsted, Erik 41 1991 Time-dependent approach to radiation conditions. Zbl 0756.35063 Herbst, Ira; Skibsted, Erik 8 1991 Asymptotic and analytic properties of resonance functions. Zbl 0713.35067 Balslev, Erik; Skibsted, Erik 2 1990 Perturbation of embedded eigenvalues in the generalized N-body problem. Zbl 0668.35078 Agmon, Shmuel; Herbst, Ira; Skibsted, Erik 30 1989 On the evolution of resonance states. Zbl 0688.47006 Skibsted, Erik 11 1989 Resonance theory of two-body Schrödinger operators. Zbl 0714.35063 Balslev, E.; Skibsted, E. 7 1989 Resonances and poles of the S-matrix. Zbl 0684.35077 Balslev, Erik; Skibsted, Erik 1 1989 Resonance functions of two-body Schrödinger operators. Zbl 0679.35075 Balslev, Erik; Skibsted, Erik 1 1988 Truncated Gamow functions and the exponential decay law. Zbl 0618.58029 Skibsted, Erik 2 1987 Truncated Gamow functions, \(\alpha\)-decay and the exponential law. Zbl 0594.58062 Skibsted, Erik 24 1986 Resonances of Schrödinger operators with potentials \(\gamma r^{\beta}\,\exp (-\zeta r^{\alpha})\), \(\zeta >0,\beta >-2\) and \(\alpha >1\). Zbl 0611.35014 Skibsted, Erik 2 1986 \(\alpha\)-decay and the exponential law. Zbl 0607.35079 Skibsted, Erik 1 1986 Boundedness of two- and three-body resonances. Zbl 0597.35027 Balslev, Erik; Skibsted, Erik 3 1985 all cited Publications top 5 cited Publications all top 5 Cited by 198 Authors 38 Skibsted, Erik 16 Sigal, Israel Michael 15 Faupin, Jérémy 14 Møller, Jacob Schach 13 Adachi, Tadayoshi 13 Herbst, Ira W. 12 Vasy, András 9 Ito, Kenichi 7 Balslev, Erik 7 Fröhlich, Jürg Martin 6 Gérard, Christian 6 Griesemer, Marcel 6 Soffer, Avraham 6 Wang, Xueping 5 Costin, Ovidiu 5 Golénia, Sylvain 5 Hassell, Andrew 4 Isozaki, Hiroshi 4 Itakura, Kyohei 4 Jensen, Arne 4 Mandich, Marc-Adrien 4 Simon, Barry 4 Zhang, Ping 3 Agmon, Shmuel 3 Arai, Asao 3 Asch, Joachim 3 Ashida, Sohei 3 Barbaroux, Jean-Marie 3 Bouclet, Jean-Marc 3 Cortés, Víctor H. 3 Fernández, Claudio A. 3 Georgescu, Vladimir 3 Guillot, Jean-Claude 3 Korotyaev, Evgeny L. 3 Lebowitz, Joel Louis 3 Liu, Wencai 3 Nakamura, Shu 3 Rasmussen, Morten Grud 3 Tanveer, Saleh 3 Yao, Xiaohua 2 Arbunich, Jack 2 Azamov, Nurulla A. 2 Baumgärtel, Hellmut 2 Bommier, Antoine 2 Bourget, Olivier 2 Boussaid, Nabile 2 Briet, Philippe 2 Cornean, Horia D. 2 Cruz-Sampedro, Jaime 2 Deng, Wen 2 Dereziński, Jan 2 Engelmann, Matthias 2 Haber, Nick 2 Hempel, Rainer 2 Huang, Min 2 Hundertmark, Dirk 2 Ibrogimov, Orif O. 2 Ishida, Atsuhide 2 Kawamoto, Masaki 2 King, Christopher Kevin 2 Könenberg, Martin 2 Lörinczi, József 2 Maad Sasane, Sara 2 Mantile, Andrea 2 McDonald, Edward Andrew 2 Merkli, Marco 2 Mizutani, Haruya 2 Nenciu, Gheorghe 2 Paicu, Marius 2 Post, Olaf 2 Pusateri, Fabio 2 Richard, Serge 2 Schlag, Wilhelm 2 Schlein, Benjamin 2 Stucchio, Chris 2 Sukochev, Fedor Anatol’evich 2 Tsai, Tai-Peng 2 Weder, Ricardo A. 2 Wu, Zhao 2 Yajima, Kenji 2 Zanin, Dmitriy V. 1 Albeverio, Sergio A. 1 Alvarez, Benjamin Louis 1 Ascione, Giacomo 1 Astaburuaga, María Angélica 1 Avramska-Lukarska, Silvana 1 Bach, Volker 1 Ballesteros, Miguel 1 Baumgarth, Robert 1 Bögli, Sabine 1 Bony, Jean-François 1 Bugiera, Lars 1 Cattaneo, Laura 1 Chen, Thomas 1 Christiansen, Tanya J. 1 Coron, Jean-Michel 1 Cuccagna, Scipio 1 Cuenin, Jean-Claude 1 De Roeck, Wojciech 1 Deckert, Dirk-André ...and 98 more Authors all top 5 Cited in 56 Serials 38 Communications in Mathematical Physics 29 Journal of Functional Analysis 23 Journal of Mathematical Physics 18 Reviews in Mathematical Physics 13 Annales de l’Institut Henri Poincaré. Physique Théorique 13 Annales Henri Poincaré 8 Journal of Mathematical Analysis and Applications 8 Advances in Mathematics 8 Duke Mathematical Journal 7 Letters in Mathematical Physics 7 Communications in Partial Differential Equations 5 Annales de l’Institut Fourier 5 Transactions of the American Mathematical Society 4 Journal d’Analyse Mathématique 4 Journal of Differential Equations 3 Journal of Statistical Physics 3 Mathematische Zeitschrift 3 Mathematical Physics, Analysis and Geometry 3 Journal of Spectral Theory 2 Bulletin de la Société Mathématique de France 2 Integral Equations and Operator Theory 2 Bulletin of Mathematical Sciences 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Nonlinearity 1 Arkiv för Matematik 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hiroshima Mathematical Journal 1 Hokkaido Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Asymptotic Analysis 1 Sugaku Expositions 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Living Reviews in Relativity 1 Multiscale Modeling & Simulation 1 Journal of Physics A: Mathematical and Theoretical 1 Operators and Matrices 1 Advances in Mathematical Physics 1 Forum of Mathematics, Sigma 1 Annals of PDE all top 5 Cited in 24 Fields 189 Quantum theory (81-XX) 156 Partial differential equations (35-XX) 96 Operator theory (47-XX) 23 Global analysis, analysis on manifolds (58-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Optics, electromagnetic theory (78-XX) 7 Functional analysis (46-XX) 5 Functions of a complex variable (30-XX) 5 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 4 History and biography (01-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 Probability theory and stochastic processes (60-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Systems theory; control (93-XX) Citations by Year