Mathematical Challenges of Zero-Range Physics

Grand challenges in mathematical physics

It is no easy task to write in a few lines a comprehensible list of Grand Challenges in the Frontiers of Mathematical Physics. This is such an extensive discipline, comprising at the very least (and nonexclusively, of course): the mathematical formulation of classical mechanics, relevant mathematical aspects of statistical mechanics, hydrodynamics, acoustics, thermodynamics, classical and quant...

Mathematical physics.

We dedicate this issue of Communications in Mathematical Physics to our dear friend and colleague Roland Dobrushin, who died of cancer on November 13, 1995, at the age of 65. Dobrushin was not only a great, classic scientist, but he was also a man of integrity, courage, and good humor. These qualities stood out at a time and place where they were extremely scarce commodities. His joy of life wa...

Institute for Mathematical Physics

Institute for Mathematical Physics

We extend the analysis [18] of the canonical structure of the Wess-Zumino-Witten theory to the bulk and boundary coset G/H models. The phase spaces of the coset theories in the closed and in the open geometry appear to coincide with those of a double ChernSimons theory on two different 3-manifolds. In particular, we obtain an explicit description of the canonical structure of the boundary G/G c...

Zero Range Scattering Theory

We prove here that by taking the zero range limit of conventional nonrelativistic three-particle theories and restricting the two-particle amplitude in this limit to have no singularities at negative energy .-o her than bound state poles, F we can derive unitary three particle equations depending only on two-particle physical observables. Phenom. -.. enological extensions of this theory suitabl...