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

2015/07/12 by A. V. Stoyanovsky, Stoyanovsky, A. V.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Mathematical Analysis and Transform Methods #Quantum Mechanics and Applications #advanced mathematical theories #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1507.08223

12 pages

arxiv created 2015/07/12 · openalex publication_date 2015/07/12 · arxiv updated 2015/07/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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