Infinite dimensional analog of the Weil representation in the space of distributions

Abstract

We construct a new version of infinite Grassmannian and infinite dimensional analog of the Weil representation of the affine symplectic group in the space of distributions. We give definition of a mathematical solution of the quantum field theory Schrödinger equation in the constructed space, and give examples of solutions of this equation.

arXiv comment12 pages

References in corpus (3)

• Gaussian transform of the Weil representation
• A necessary condition for existence of S-matrix outside perturbation theory
• Generalizations of wave equations to multidimensional variational problems