Titlebook: Quantum and Non-Commutative Analysis; Past, Present and Fu Huzihiro Araki,Keiichi R. Ito,Izumi Ojima Book 1993 Springer Science+Business Me

巨頭

效果

BRIBE

A Non-commuting Realization of Minkowski Spaceturally associated to quantum field theory in the sense of Araki, Haag, and Kastler. The image contains some of the informations encoded in the manner how the algebra of the smaller domain is imbedded in the algebra of the bigger domain. As an illustrative example we will treat the classification problem of chiral field theories.

緩和

其他

高歌

Agronomy

Renormalization Group and Nonlinear PDE’s We show how universality, i.e. independence of the asymptotics on initial data and the equation, emerges naturally. Concrete problems discussed include patterns and moving fronts in Ginzburg Landau equation and diffusion in random environment.

意外的成功

The Weak Coupling Limit for a Fermi Gas in a Random Potentialquasi-free asymptotic state, and the semigroup describing the evolution of the two-point function. Results are obtained not only for the average over the random potential but also with probability one.

賭博

Local Quantum Physics and Beyondding open problems in each of the areas (i) to (iv) will be pointed out. For a future theory — which includes the lessons from General Relativity — rather radical changes of the frame are needed. We shall discuss a few hints in this context.

CURB

Book 1993eory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by very stron