Edit Profile Hoffmann-Ostenhof, Thomas Compute Distance To: Compute Author ID: hoffmann-ostenhof.thomas Published as: Hoffmann-Ostenhof, T.; Hoffmann-Ostenhof, Thomas Documents Indexed: 63 Publications since 1976 all top 5 Co-Authors 2 single-authored 43 Hoffmann-Ostenhof, Maria 18 Helffer, Bernard 12 Nadirashvili, Nikolai S. 10 Sørensen, Thomas Østergaard 9 Fournais, Søren 3 Froese, Richard 3 Herbst, Ira W. 3 Laptev, Ari 3 Simon, Barry 3 Swetina, Jörg 3 Terracini, Susanna 1 Ahlrichs, Reinhart 1 Ancona, Alano 1 Bonnaillie-Noël, Virginie 1 Charron, Philippe 1 Combes, Jean-Michel 1 Grieser, Daniel 1 Hardt, Robert M. 1 Michor, Peter Wolfram 1 Morgan, John C. II 1 Owen, Mark P. 1 Owen, Markus Roger 1 Polterovich, Iosif 1 Stremnitzer, H. 1 Tidblom, Jesper 1 van den Berg, Michiel all top 5 Serials 8 Communications in Mathematical Physics 4 Journal of Physics A: Mathematical and General 3 Moscow Mathematical Journal 2 Journal of Mathematical Physics 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Geometric and Functional Analysis. GAFA 2 Communications in Partial Differential Equations 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Annales Henri Poincaré 2 Journal of Physics A: Mathematical and Theoretical 1 Journal d’Analyse Mathématique 1 Arkiv för Matematik 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Mathematical Sciences and Applications 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 Journal of Spectral Theory 1 Annales Mathématiques du Québec all top 5 Fields 55 Partial differential equations (35-XX) 22 Quantum theory (81-XX) 5 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 56 Publications have been cited 581 times in 347 Documents Cited by ▼ Year ▼ Nodal domains and spectral minimal partitions. Zbl 1171.35083Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S. 56 2009 A geometrical version of Hardy’s inequality. Zbl 1012.26011Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Laptev, A. 45 2002 Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains. Zbl 1042.81012Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Owen, M. P. 38 1999 On the absence of positive eigenvalues for one-body Schrödinger operators. Zbl 0512.35062Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 32 1982 On spectral minimal partitions: the case of the sphere. Zbl 1230.35072Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 25 2010 Critical sets of solutions to elliptic equations. Zbl 1144.35370Hardt, R.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 23 1999 \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation. Zbl 0514.35024Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 23 1982 The electron density is smooth away from Nuclei. Zbl 1005.81095Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas 19 2002 Electron wavefunctions and densities for atoms. Zbl 0985.81133Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas 18 2001 \(L^ 2\)-lower bounds to solutions of one-body Schrödinger equations. Zbl 0547.35038Froese, R.; Herbst, I.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 17 1983 Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T. 15 2009 Sharp regularity results for Coulombic many-electron wave functions. Zbl 1075.35063Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard 15 2005 Analyticity of the density of electronic wavefunctions. Zbl 1068.35118Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas 14 2004 Many-particle Hardy inequalities. Zbl 1135.35012Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Laptev, A.; Tidblom, J. 13 2008 The nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^2\) can be closed. Zbl 0956.35027Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 12 1997 On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259Helffer, Bernard; Hoffmann-Ostenhof, Thomas 11 2013 Local properties of Coulombic wave functions. Zbl 0812.35105Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Stremnitzer, H. 10 1994 A comparison theorem for differential inequalities with applications in quantum mechanics. Zbl 0432.35080Hoffmann-Ostenhof, Thomas 10 1980 A review on large \(k\) minimal spectral \(k\)-partitions and Pleijel’s theorem. Zbl 1346.35132Helffer, B.; Hoffmann-Ostenhof, T. 9 2015 Bounds on the multiplicity of eigenvalues for fixed membranes. Zbl 0949.35102Hoffmann-Ostenhof, T.; Michor, P. W.; Nadirashvili, N. 9 1999 Local properties of solutions of Schrödinger equations. Zbl 0783.35054Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 9 1992 Non-isotropic cusp conditions and regularity of the electron density of molecules at the nuclei. Zbl 1126.81054Fournais, Søren; Sørensen, Thomas Østergaard; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 8 2007 Pointwise bounds on the asymptotics of spherically averaged \(L^ 2\)-solutions of one-body Schrödinger equations. Zbl 0595.35033Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg 8 1985 A multiparticle Coulomb system with bound state at threshold. Zbl 0519.35024Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B. 8 1983 On minimal partitions: new properties and applications to the disk. Zbl 1231.35011Helffer, Bernard; Hoffmann-Ostenhof, Thomas 7 2010 Nodal minimal partitions in dimension 3. Zbl 1193.35162Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 7 2010 Analytic structure of many-body Coulombic wave functions. Zbl 1171.35110Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard 7 2009 Converse spectral problems for nodal domains. Zbl 1125.35068Helffer, B.; Hoffmann-Ostenhof, T. 7 2007 Nodal sets, multiplicity and superconductivity in non-simply connected domains. Zbl 0986.35104Helffer, Bernard; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Owen, Markus 7 2000 Critical sets of smooth solutions to elliptic equations in dimension 3. Zbl 0857.35008Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 7 1996 Hardy inequalities with homogeneous weights. Zbl 1322.35103Hoffmann-Ostenhof, Thomas; Laptev, Ari 6 2015 On the regularity of the density of electronic wavefunctions. Zbl 1041.81104Fournais, S.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Sørensen, T. Østergaard 6 2002 Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets. Zbl 0846.35036Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N. 6 1995 Continuity and nodal properties near infinity for solutions of 2- dimensional Schrödinger equations. Zbl 0599.35036Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg 6 1986 On the exponential fall off of wavefunctions and electron densities. Zbl 0446.35017Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Ahlrichs, R.; Morgan, J. 6 1980 Remarks on two notions of spectral minimal partitions. Zbl 1222.35067Helffer, Bernard; Hoffmann-Ostenhof, Thomas 5 2010 On the multiplicity of eigenvalues of the Laplacian on surfaces. Zbl 0923.35109Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 5 1999 On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\). Zbl 0658.35021Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 5 1988 Analytic structure of solutions to multiconfiguration equations. Zbl 1181.35282Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard 4 2009 Positivity of the spherically averaged atomic one-electron density. Zbl 1138.81567Fournais, S.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Østergaard, Sørensen T. 4 2008 On the nodal line conjecture. Zbl 0895.35068Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 4 1998 Asymptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains. Zbl 0641.35017Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg 4 1987 Absence of an \(L^ 2\)-eigenfunction at the bottom of the spectrum of the Hamiltonian of the hydrogen negative ion in the triplet S-sector. Zbl 0559.35081Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 4 1984 Asymptotics of atomic ground states: The relation between the ground state of helium and the ground state of He+. Zbl 0471.35011Combes, J. M.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 4 1981 Brownian motion and a consequence of Harnack’s inequality: nodes of quantum wave functions. Zbl 0444.35024Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B. 4 1980 Minimal partitions for anisotropic tori. Zbl 1321.58006Helffer, Bernard; Hoffmann-Ostenhof, Thomas 3 2014 Nodal domain theorems à la Courant. Zbl 1067.35051Ancona, A.; Helffer, B.; Hoffmann-Ostenhof, T. 3 2004 Pleijel’s theorem for Schrödinger operators with radial potentials. Zbl 1384.35048Charron, Philippe; Helffer, Bernard; Hoffmann-Ostenhof, Thomas 2 2018 Periodic Schrödinger operators and Aharonov-Bohm Hamiltonians. Zbl 1043.35057Helffer, B.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 2 2003 Spectral theory for periodic Schrödinger operators with reflection symmetries. Zbl 1050.35056Helffer, B.; Hoffmann-Ostenhof, T. 2 2003 On the nodal structure of atomic eigenfunctions. Zbl 0428.35078Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B. 2 1980 Eigenfunctions for 2-dimensional tori and for rectangles with Neumann boundary conditions. Zbl 1386.35284Hoffmann-Ostenhof, Thomas 1 2015 Spectral minimal partitions for a thin strip on a cylinder or a thin annulus like domain with Neumann condition. Zbl 1273.35029Helffer, Bernard; Hoffmann-Ostenhof, Thomas 1 2013 Spectral theory for the dihedral group. Zbl 1029.47026Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 1 2002 Asymptotic properties of nodes of solutions to Schrödinger equations. Zbl 0699.35214Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 1 1989 Eine Ungleichung für die Funktionswerte einer samt ihrer Ableitung quadratintegrablen Funktion. Zbl 0351.26023Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 1 1976 Pleijel’s theorem for Schrödinger operators with radial potentials. Zbl 1384.35048Charron, Philippe; Helffer, Bernard; Hoffmann-Ostenhof, Thomas 2 2018 A review on large \(k\) minimal spectral \(k\)-partitions and Pleijel’s theorem. Zbl 1346.35132Helffer, B.; Hoffmann-Ostenhof, T. 9 2015 Hardy inequalities with homogeneous weights. Zbl 1322.35103Hoffmann-Ostenhof, Thomas; Laptev, Ari 6 2015 Eigenfunctions for 2-dimensional tori and for rectangles with Neumann boundary conditions. Zbl 1386.35284Hoffmann-Ostenhof, Thomas 1 2015 Minimal partitions for anisotropic tori. Zbl 1321.58006Helffer, Bernard; Hoffmann-Ostenhof, Thomas 3 2014 On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259Helffer, Bernard; Hoffmann-Ostenhof, Thomas 11 2013 Spectral minimal partitions for a thin strip on a cylinder or a thin annulus like domain with Neumann condition. Zbl 1273.35029Helffer, Bernard; Hoffmann-Ostenhof, Thomas 1 2013 On spectral minimal partitions: the case of the sphere. Zbl 1230.35072Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 25 2010 On minimal partitions: new properties and applications to the disk. Zbl 1231.35011Helffer, Bernard; Hoffmann-Ostenhof, Thomas 7 2010 Nodal minimal partitions in dimension 3. Zbl 1193.35162Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna 7 2010 Remarks on two notions of spectral minimal partitions. Zbl 1222.35067Helffer, Bernard; Hoffmann-Ostenhof, Thomas 5 2010 Nodal domains and spectral minimal partitions. Zbl 1171.35083Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S. 56 2009 Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T. 15 2009 Analytic structure of many-body Coulombic wave functions. Zbl 1171.35110Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard 7 2009 Analytic structure of solutions to multiconfiguration equations. Zbl 1181.35282Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard 4 2009 Many-particle Hardy inequalities. Zbl 1135.35012Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Laptev, A.; Tidblom, J. 13 2008 Positivity of the spherically averaged atomic one-electron density. Zbl 1138.81567Fournais, S.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Østergaard, Sørensen T. 4 2008 Non-isotropic cusp conditions and regularity of the electron density of molecules at the nuclei. Zbl 1126.81054Fournais, Søren; Sørensen, Thomas Østergaard; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 8 2007 Converse spectral problems for nodal domains. Zbl 1125.35068Helffer, B.; Hoffmann-Ostenhof, T. 7 2007 Sharp regularity results for Coulombic many-electron wave functions. Zbl 1075.35063Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Sørensen, Thomas Østergaard 15 2005 Analyticity of the density of electronic wavefunctions. Zbl 1068.35118Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas 14 2004 Nodal domain theorems à la Courant. Zbl 1067.35051Ancona, A.; Helffer, B.; Hoffmann-Ostenhof, T. 3 2004 Periodic Schrödinger operators and Aharonov-Bohm Hamiltonians. Zbl 1043.35057Helffer, B.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 2 2003 Spectral theory for periodic Schrödinger operators with reflection symmetries. Zbl 1050.35056Helffer, B.; Hoffmann-Ostenhof, T. 2 2003 A geometrical version of Hardy’s inequality. Zbl 1012.26011Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Laptev, A. 45 2002 The electron density is smooth away from Nuclei. Zbl 1005.81095Fournais, Søren; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas 19 2002 On the regularity of the density of electronic wavefunctions. Zbl 1041.81104Fournais, S.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Sørensen, T. Østergaard 6 2002 Spectral theory for the dihedral group. Zbl 1029.47026Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 1 2002 Electron wavefunctions and densities for atoms. Zbl 0985.81133Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Østergaard Sørensen, Thomas 18 2001 Nodal sets, multiplicity and superconductivity in non-simply connected domains. Zbl 0986.35104Helffer, Bernard; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Owen, Markus 7 2000 Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains. Zbl 1042.81012Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Owen, M. P. 38 1999 Critical sets of solutions to elliptic equations. Zbl 1144.35370Hardt, R.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 23 1999 Bounds on the multiplicity of eigenvalues for fixed membranes. Zbl 0949.35102Hoffmann-Ostenhof, T.; Michor, P. W.; Nadirashvili, N. 9 1999 On the multiplicity of eigenvalues of the Laplacian on surfaces. Zbl 0923.35109Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 5 1999 On the nodal line conjecture. Zbl 0895.35068Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 4 1998 The nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^2\) can be closed. Zbl 0956.35027Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 12 1997 Critical sets of smooth solutions to elliptic equations in dimension 3. Zbl 0857.35008Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Nadirashvili, N. 7 1996 Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets. Zbl 0846.35036Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Nadirashvili, N. 6 1995 Local properties of Coulombic wave functions. Zbl 0812.35105Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Stremnitzer, H. 10 1994 Local properties of solutions of Schrödinger equations. Zbl 0783.35054Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 9 1992 Asymptotic properties of nodes of solutions to Schrödinger equations. Zbl 0699.35214Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 1 1989 On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\). Zbl 0658.35021Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 5 1988 Asymptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains. Zbl 0641.35017Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg 4 1987 Continuity and nodal properties near infinity for solutions of 2- dimensional Schrödinger equations. Zbl 0599.35036Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg 6 1986 Pointwise bounds on the asymptotics of spherically averaged \(L^ 2\)-solutions of one-body Schrödinger equations. Zbl 0595.35033Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Swetina, Jörg 8 1985 Absence of an \(L^ 2\)-eigenfunction at the bottom of the spectrum of the Hamiltonian of the hydrogen negative ion in the triplet S-sector. Zbl 0559.35081Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 4 1984 \(L^ 2\)-lower bounds to solutions of one-body Schrödinger equations. Zbl 0547.35038Froese, R.; Herbst, I.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 17 1983 A multiparticle Coulomb system with bound state at threshold. Zbl 0519.35024Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B. 8 1983 On the absence of positive eigenvalues for one-body Schrödinger operators. Zbl 0512.35062Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 32 1982 \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation. Zbl 0514.35024Froese, Richard; Herbst, Ira; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 23 1982 Asymptotics of atomic ground states: The relation between the ground state of helium and the ground state of He+. Zbl 0471.35011Combes, J. M.; Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 4 1981 A comparison theorem for differential inequalities with applications in quantum mechanics. Zbl 0432.35080Hoffmann-Ostenhof, Thomas 10 1980 On the exponential fall off of wavefunctions and electron densities. Zbl 0446.35017Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Ahlrichs, R.; Morgan, J. 6 1980 Brownian motion and a consequence of Harnack’s inequality: nodes of quantum wave functions. Zbl 0444.35024Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B. 4 1980 On the nodal structure of atomic eigenfunctions. Zbl 0428.35078Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas; Simon, B. 2 1980 Eine Ungleichung für die Funktionswerte einer samt ihrer Ableitung quadratintegrablen Funktion. Zbl 0351.26023Hoffmann-Ostenhof, Maria; Hoffmann-Ostenhof, Thomas 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 393 Authors 20 Helffer, Bernard 20 Hoffmann-Ostenhof, Thomas 17 Hoffmann-Ostenhof, Maria 13 Nasibullin, Ramil Gaisa’evich 11 Herbst, Ira W. 9 Abatangelo, Laura 9 Avkhadiev, Farit Gabidinovich 9 Terracini, Susanna 8 Felli, Veronica 8 Léna, Corentin 8 Miyamoto, Yasuhito 7 Fournais, Søren 7 Schneider, Reinhold 7 Skibsted, Erik 6 Bérard, Pierre H. 6 Sørensen, Thomas Østergaard 6 Tertikas, Achilles 6 Zhou, Aihui 5 Filippas, Stathis 5 Froese, Richard 5 Nadirashvili, Nikolai S. 5 Simon, Barry 4 Band, Ram 4 Bobkov, Vladimir E. 4 Bollé, D. 4 Bucur, Dorin 4 Chen, Huajie 4 Flad, Heinz-Jürgen 4 Fragalà, Ilaria 4 Kuchment, Peter A. 4 Lieb, Elliott H. 4 Lundholm, Douglas 4 Makarov, R. V. 4 Nys, Manon 4 Osborn, T. A. 4 Ruzhansky, Michael V. 4 Shafigullin, Il’nar Kasyĭmovich 4 Suragan, Durvudkhan 3 Berkolaiko, Gregory 3 Bogoşel, Beniamin 3 Bonnaillie-Noël, Virginie 3 Cancès, Eric 3 Danneels, C. 3 Dolbeault, Jean 3 Frank, Rupert L. 3 Ito, Kenichi 3 Jecko, Thierry 3 Laptev, Ari 3 Lu, Guozhen 3 Mazzieri, Lorenzo 3 Noris, Benedetta 3 Osting, Braxton 3 Pan, Xingbin 3 Poláčik, Peter 3 Rabinovich, Vladimir Samuilovich 3 Sigal, Israel Michael 3 Solovej, Jan Philip 3 Swetina, Jörg 3 Tavares, Hugo 3 Tidblom, Jesper 3 Yserentant, Harry 2 Agostiniani, Virginia 2 Alberti, Giovanni S. 2 Alziary, Bénédicte 2 Bal, Guillaume 2 Ballmann, Hans Werner 2 Barbatis, Gerassimos 2 Benguria, Rafael D. 2 Blanc, Xavier 2 Boutet de Monvel, Anne Marie 2 Dai, Xiaoying 2 Dupuy, Mi-Song 2 Feng, Hongliang 2 Fleckinger, Jacqueline 2 Fu, Siqi 2 Galaktionov, Victor Aleksandrovich 2 Gesztesy, Fritz 2 Gittins, Katie 2 Hackbusch, Wolfgang 2 Han, Qing 2 Hardt, Robert M. 2 Hassell, Andrew 2 Hirano, Norimichi 2 Kachmar, Ayman 2 Kennedy, James Bernard 2 Kovařík, Hynek 2 Lam, Nguyen 2 Lewis, Roger T. 2 Li, Hengguang 2 Lin, Fang Hua 2 Liu, Dan 2 Liu, Hairong 2 Loss, Michael 2 Matthiesen, Henrik 2 Maz’ya, Vladimir Gilelevich 2 Miclo, Laurent 2 Mondal, Sugata 2 Montgomery, H. E. jun. 2 Nistor, Victor 2 Ovall, Jeffrey S. ...and 293 more Authors all top 5 Cited in 124 Serials 24 Communications in Mathematical Physics 22 Journal of Mathematical Physics 17 Journal of Functional Analysis 14 Calculus of Variations and Partial Differential Equations 11 Journal of Differential Equations 9 Journal of Mathematical Analysis and Applications 9 Advances in Mathematics 9 Numerische Mathematik 9 Transactions of the American Mathematical Society 7 Lobachevskii Journal of Mathematics 6 Letters in Mathematical Physics 6 Duke Mathematical Journal 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Proceedings of the American Mathematical Society 6 Communications in Partial Differential Equations 5 Archive for Rational Mechanics and Analysis 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Communications in Contemporary Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Reviews in Mathematical Physics 4 Geometric and Functional Analysis. GAFA 4 SIAM Journal on Mathematical Analysis 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Documenta Mathematica 4 Journal of the European Mathematical Society (JEMS) 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Spectral Theory 3 Journal d’Analyse Mathématique 3 Journal of Statistical Physics 3 Annales de l’Institut Fourier 3 Mathematische Zeitschrift 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Mathematical Sciences (New York) 3 Philosophical Transactions of the Royal Society of London. Series A. 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Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Stochastic Processes and their Applications 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Experimental Mathematics 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Russian Journal of Mathematical Physics 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry ...and 24 more Serials all top 5 Cited in 46 Fields 234 Partial differential equations (35-XX) 108 Quantum theory (81-XX) 42 Real functions (26-XX) 41 Global analysis, analysis on manifolds (58-XX) 39 Operator theory (47-XX) 30 Numerical analysis (65-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 25 Functional analysis (46-XX) 20 Statistical mechanics, structure of matter (82-XX) 11 Ordinary differential equations (34-XX) 11 Differential geometry (53-XX) 6 Combinatorics (05-XX) 6 Potential theory (31-XX) 6 Special functions (33-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 5 Probability theory and stochastic processes (60-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 4 Optics, electromagnetic theory (78-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Citations by Year