Markus Hunziker, Mark R. Sepanski, Ronald J. Stanke
Abstract:
We construct a copy of the oscillator representation of the
metaplectic group Mp(n) in the space of solutions to a system of
Schrodinger type equations on
that has
very simple intertwining maps to the realizations given by
Kashiwara and Vergne.
Submitted October 4, 2013. Published October 7, 2015.
Math Subject Classifications: 22E30, 35A30, 35J10, 58J70.
Key Words: Oscillator representation; Schrodinger equation;
metaplectic representation; Segal-Shale-Weil representation;
Jacobi group.
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Markus Hunziker Department of Mathematics Baylor University One Bear Place 97328 Waco, TX 76798-7328, USA email: Markus_Hunziker@baylor.edu | |
Mark R. Sepanski Department of Mathematics Baylor University One Bear Place 97328 Waco, TX 76798-7328, USA email: Mark_Sepanski@baylor.edu | |
Ronald J. Stanke Department of Mathematics Baylor University One Bear Place 97328 Waco, TX 76798-7328, USA email: Ronald_Stanke@baylor.edu |
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