Rutgers, The State University was awarded a $484,158 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences on July 1, 2021 to complete work by June 30, 2024. The grant falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding of major problems.
Specifically, the funding will support Rutgers' "Adiabatic Limits of Quantum Symplectic Invariants" project. This appears to involve theoretical work studying properties of quantum systems as certain parameters vary slowly with time. The grant enables Rutgers researchers to further mathematical and physical insights in quantum mechanics through investigating symplectic invariants, which are properties preserved by canonical transformations linking equivalent formulations of quantum theories. The three-year award period allows for in-depth analysis of adiabatic limits as tools for understanding quantum behavior.
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