Prof. Thomas Østergaard Sørensen, Ph.D.
Department of Mathematics
Office address:
Theresienstr. 39
Room B408
80333 Munich
About
Research:
Mathematical Physics, Analysis and Partial Differential Equations.
More explicitly:
Elliptic Regularity, in particular of (1) solutions to the stationary Schroedinger equation of atoms and molecules, and of derived quantities, and (2) various non-local equations from Mathematical Physics.
Spectral Asymptotics, in particular of (1) ground state energies of large atoms and molecules, and (2) 2d systems in non-continuous magnetic fields.
Teaching
- Maßtheorie und Integralrechnung mehrerer Variablen (Ana3) (WiSe 2024/25)
- Elliptic PDEs: Pseudodifferential operators (PsiDO) (WiSe 2024/25)
- Topologie und Differentialrechnung mehrerer Variablen (Ana2) (SoSe 2024)
- Mathematisches Seminar: Variationsrechnung (SoSe 2024)
- Analysis einer Variablen (Ana1) (WiSe 2023/24)
- Partielle Differentialgleichungen II (PDE2) (SoSe 2023)
- Mathematisches Seminar: Pseudodifferential operators (SoSe 2023)
- Partielle Differentialgleichungen (PDG1) (WiSe 2022/23)
- Mathematisches Seminar: Variationsrechnung (WiSe 2022/23)
- Funktionalanalysis (FA1) (SoSe 2022)
- Vorlesung: Hamilton-Jacobi Equations (H-J) (SoSe 2022)
- Partielle Differentialgleichungen II (PDG2) (SoSe 2021)
- Vorlesung: Pseudodifferential operators (SoSe 2021)
- Partielle Differentialgleichungen (PDG1) (WiSe 2020/21)
- Vorlesung: Semi-linear Elliptic PDEs (WiSe 2020/21)
- Partielle Differentialgleichungen II (PDG2) (SoSe 2020)
- Vorlesung: Pseudodifferential operators (SoSe 2020)
- Partielle Differentialgleichungen (PDG1) (WiSe 2019/20)
- Mathematisches Seminar: Variationsrechnung (WiSe 2019/20)
- Mathe Probestudium 2019
- Partielle Differentialgleichungen II (PDG2) (SoSe 2019)
- Vorlesung: Elliptic Regularity Theory (SoSe 2019)
- Maßtheorie und Integralrechnung mehrerer Variablen (Ana3) (WiSe 2018/19)
- Topologie und Differentialrechnung mehrerer Variablen (Ana2) (SoSe 2018)
- Analysis einer Variablen (Ana1) (WiSe 2017/18)
Publications
- Estimates on derivatives of Coulombic wave functions and their electron densities. – S. Fournais, T. Ø. Sørensen – J. reine angew. Math. – arXiv: 1803.03495
- Coulomb potentials and Taylor expansions in Time-Dependent Density Functional Theory. – S. Fournais, J. Lampart, M. Lewin, T. Ø. Sørensen – Phys. Rev. A – arXiv: 1603.02219
- Real analyticity of solutions to Schrödinger equations involving a fractional Laplacian and other Fourier multipliers. – A. Dall'Acqua, S. Fournais, E. Stockmeyer, T. Ø. Sørensen – 2013 – XVIIth International Congress on Mathematical Physics (2013) – arXiv: 1209.3885
- Real analyticity away from the nucleus of pseudorelativistic Hartree-Fock orbitals. – A. Dall'Acqua, S. Fournais, E. Stockmeyer, T. Ø. Sørensen – Analysis & PDE – arXiv: 1103.5026
- The Electron Densities of Pseudorelativistic Eigenfunctions are Smooth Away from the Nuclei. – S. Fournais, T. Ø. Sørensen – Comm. Partial Differential Equations – arXiv: 0811.4537
- Relativistic Scott correction for atoms and molecules. – J.P. Solovej, W.L. Spitzer, T. Ø. Sørensen – Comm. Pure Appl. Math. – arXiv: 0808.2163
- Analytic structure of solutions to multiconfiguration equations. – S. Fournais, M, T. Hoffmann-Ostenhof, T. Ø. Sørensen – J. Phys. A: Math. Theor. – arXiv: 0812.1429
- Analytic Structure of Many-Body Coulombic Wave Functions. – S. Fournais, M, T. Hoffmann-Ostenhof, T. Ø. Sørensen – Commun. Math. Phys. – arXiv: 0806.1004
- Third Derivative of the One-Electron Density at the Nucleus. – S. Fournais, M. Hoffmann-Ostenhof, T. Ø. Sørensen – Ann. Henri Poincaré
- Hartree-Fock Theory for Pseudorelativistic Atoms, – A. Dall'Acqua, E. Stockmeyer, T. Ø. Sørensen – Ann. Henri Poincaré
- Local and global properties of eigenfunctions and one-electron densities of Coulombic Schrödinger operators, – S. Fournais, M. and T. Hoffmann-Ostenhof, T. Ø. Sørensen – 2008 – AIP Conference Proceedings volume 998 (2008)
- Positivity of the spherically averaged atomic one-electron density – T. Ø. Sørensen – Math. Z.
- On the convergence of eigenfunctions to threshold energy states – E. Stockmeyer, T. Ø. Sørensen – Proc. R. Soc. Edinb., Sect. A, Math.
- Non-Isotropic Cusp Conditions and Regularity of the Electron Density of Molecules at the Nuclei – S. Fournais, M. and T. Hoffmann-Ostenhof, T. Ø. Sørensen – Ann. Henri Poincaré
- The large-Z Behaviour of pseudorelativistic atoms – T. Ø. Sørensen – J. Math. Phys.,
- Sharp Regularity Results for Coulombic Many-Electron Wave Functions – S. Fournais, M. and T. Hoffmann-Ostenhof, T. Ø. Sørensen – Commun. Math. Phys.
- Analyticity of the density of electronic wavefunctions – T. Ø. Sørensen – Ark. Mat.
- On the regularity of the density of electronic wavefunctions. – T. Ø. Sørensen – In
- The Electron Density is Smooth Away from the Nuclei – T. Ø. Sørensen – Commun. Math. Phys.
- Electron Wavefunctions and Densities for Atoms – M. and T. Hoffmann-Ostenhof, T. Ø. Sørensen – Ann. Henri Poincaré