Hans-Jürgen Borchers
Encyclopedia
Hans-Jürgen Borchers was a mathematical physicist at the Georg-August-Universität Göttingen who worked on operator algebra
s and quantum field theory
. He introduced Borchers algebra
s and the Borchers commutation relations and Borchers classes in quantum field theory. He was awarded the Max Planck Medal
in 1994. Among his students is Jakob Yngvason
.
Operator algebra
In functional analysis, an operator algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings...
s and quantum field theory
Quantum field theory
Quantum field theory provides a theoretical framework for constructing quantum mechanical models of systems classically parametrized by an infinite number of dynamical degrees of freedom, that is, fields and many-body systems. It is the natural and quantitative language of particle physics and...
. He introduced Borchers algebra
Borchers algebra
In mathematics, a Borchers algebra or Borchers–Uhlmann algebra or BU-algebra is the tensor algebra of a vector space, often a space of smooth test functions. They were studied by , who showed that the Wightman distributions of a quantum field could be interpreted as a state, called a...
s and the Borchers commutation relations and Borchers classes in quantum field theory. He was awarded the Max Planck Medal
Max Planck medal
The Max Planck medal is an award for extraordinary achievements in theoretical physics. It is awarded annually by the Deutsche Physikalische Gesellschaft , the world's largest organization of physicists.-List of recipients:...
in 1994. Among his students is Jakob Yngvason
Jakob Yngvason
Jakob Yngvason is an Icelandic/Austrian physicist. He is professor of mathematical physics at the University of Vienna and Scientific Director of the Erwin Schrödinger International Institute for Mathematical Physics in Vienna...
.