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The Danish National Research Foundation:
Network in Mathematical Physics and Stochastics

Funded by The Danish National Research Foundation

Arne Jensen


Arne Jensen (AJ) got his PhD from University of Aarhus in 1979. During 1976-1979 he was a visitor at University of California, Berkeley, holding a Danish fellowship. He was JSPS postdoc at University of Tokyo 1979-80, and assistant professor at University of Kentucky 1980-1985. On leave in 1982, he was chercheur associé at Centre de Physique Théorique, Marseille, France. In 1985 he became associate professor at University of Aarhus. Organizer of the Nordic Summer School in Mathematics in 1988. Since 1988 he has been Professor of mathematics at Aalborg University. During 1992-1995 he was first scientific program director, and then director, of the Mittag-Leffler Institute, Djursholm, Sweden. Elected foreign member of kungl Fysiografiska Sällskapet, Lund, Sweden, in 1998. In 2000-2001 he was visiting professor at University of Tokyo. He became Scientific Director of MaPhySto in April 2003.

Research Field

AJ works in Mathematical Physics, on problems from Quantum Mechanics, in particular spectral and scattering theory for Schrödinger operators. He has written a number of papers, describing the low energy asymptotics of Schrödinger operators, and the associated large time asymptotics of solutions to the time-dependent Schrödinger equation. He has worked on problems related to resonances, and in a number of cases established equivalence of resonances defined as poles of an analytically continued resolvent, and poles of the scattering matrix. Other results include a number of further developments of the Mourre commutator method in spectral theory. Recently he has started working on problems from Quantum Field Theory. The first results concern the well known Nelson model.

Email address:
Office phone : (+45) 9635 8846
Address: Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg, , Denmark