Jan Solovej

Jan Philip Solovej (born June 14, 1961 in Copenhagen ) is a Danish mathematical physicist and mathematician.

Solovej received his candidate title (diploma) from the University of Copenhagen in 1985 and received his doctorate in 1989 from Princeton University with Elliott Lieb ( Universality in the Thomas-Fermi-von Weizsäcker Model of Atoms and Molecules ). As a post-doctoral student , he was Visiting Assistant Professor at the University of Michigan in 1989/90 and at the University of Toronto in 1990 . In 1991 he was at the Institute for Advanced Study (and again in 2003/04) and from 1991 to 1995 Assistant Professor in the Mathematics Faculty of Princeton University. From 1995 to 1997 he was a research professor at Aarhus University and since 1997 he has been a professor in the Faculty of Mathematics at the University of Copenhagen. In 2007 he was visiting professor at the Ludwig Maximilians University in Munich and in 2005 at the University of Paris (Dauphine).

Since 2000 he has been a member of the Royal Danish Academy of Sciences and Arts. From 1998 to 2006 he was secretary and vice president of the Danish Mathematical Society. From 2006 to 2008 he was on the board of directors of the International Association of Mathematical Physics (IAMP) and its secretary from 2009 to 2011.

He worked with Elliott Lieb (he was co-editor of his collected essays), Robert Seiringer , Jakob Yngvason , Heinz Siedentop , Christian Hainzl , IM Sigal , Gian Michele Graf , László Erdős , Michael Loss , Volker Bach , Michael Aizenman and Mathieu Lewin . In 2004 he was invited speaker at the European Congress of Mathematicians in Stockholm ( Mathematical problems of large quantum systems ) and in 1996 at the one in Budapest ( Mathematical results on the structure of large atoms ).

In 2003 he established generalized ionization conjectures for atoms, i.e. for the asymptotic behavior (number of charges ) of ionization energy and atomic radii for m-fold ionized atoms as the power of the ionization charge m and proved this within the framework of the Hartree-Fock theory. The usual ionization conjecture, which asserts an asymptotic dependence of for various quantities such as ionization energy and atomic radius, is unproven. ${\displaystyle Z\to \infty }$ ${\displaystyle O(1)}$ ${\displaystyle Z\to \infty }$

He deals with mathematical questions in relativistic quantum field theory, atomic physics (including large atoms in the Thomas-Fermi model, Hartree-Fock theory, questions of asymptotic neutrality, ionization energy, etc.), solid state physics (Bose-Einstein gas, quantum dots, Heisenberg model, etc.) and in general in quantum mechanical many-particle systems (for example questions of the stability of matter under various conditions according to Lieb- Thirring ).

He is married and has two children.

Solovej is editor of the Journal of Mathematical Physics .

Phan Thành Nam is one of his doctoral students .

Fonts

• Stability of Matter. Article in: Francoise, Naber, Tsou (Ed.): Encyclopedia of Mathematical Physics. Elsevier 2006.
• Energy of Charged Matter. International Congress of Mathematical Physics 2003, online.
• with Lieb, Seiringer, Yngvason: The quantum mechanical many body problem: The Bose Gas. In: Michael Benedicks , Peter W. Jones, Stanislaw Smirnow (Eds.): Perspectives in Analysis. Essays in Honor of Lennart Carleson 's 75th birthday. Springer Verlag 2005, Mathematical Physics Studies, Volume 27, pp. 97-184.
• Asymptotic neutrality of diatomic molecules. Comm. Math. Phys., Vol. 131, 1990, pp. 307-315.
• Proof of the ionization conjecture in a reduced Hartree Fock Model. Inventiones Mathematicae, Volume 104, 1991, pp. 291-311.
• The ionization conjecture in Hartree Fock Theory. Annals of Mathematics, Volume 158, 2003, pp. 509-576.
• with MB Ruskai: Asymptotic neutrality of polyatomic molecules. In: Erik Balslev (Ed.): Schrödinger Operators. Lecture Notes in Physics 403, Springer Verlag 1992, pp. 153-174.
• with Lieb, Yngvason: Heavy atoms in the strong magnetic field of a neutron star. Phys. Rev. Lett., Vol. 69, 1992, pp. 749-752.
• with Lieb, M. Loss: Stability of matter in magnetic fields. Phys. Rev. Lett., Vol. 79, 1995, pp. 985-989.
• with Lieb, H. Siedentop: Stability of relativistic matter with magnetic fields. Physical Review Letters, Volume 79, 1997, p. 1785.
• with Volker Bach, Lieb, Loss: There are no unfilled shells in unrestricted Hartree-Fock-Theory. Phys. Rev. Lett., Vol. 72, 1994, pp. 2981-2983.

Web links

• Homepage

Individual evidence

1. ^ Mathematics Genealogy Project . Published in Communications in Mathematical Physics, Volume 129, 1990, pp. 561-598.