Infinite dimensional analog of the Weil representation in the space of distributions
classification
⚛️ physics.gen-ph
keywords
infinitespaceanalogdimensionaldistributionsequationgiverepresentation
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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 Schr\"odinger equation in the constructed space, and give examples of solutions of this equation.
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