Mathematical Sciences: Faculty Presentations (1991-2022)
Time Decay of Quantum Waves on Riemannian Manifolds – Recent Development
Document Type
Presentation
Presentation Date
3-3-2007
Copyright
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Abstract or Description
It is a quest to understand the behavior of waves or particles traveling in a quantum-mechanical background. We give a survey on some aspects of recent development concerning the decay of solutions to dispersive equations on Euclidean spaces and Riemannian manifolds. The problems and techniques are mainly from harmonic analysis and PDE. We will observe that the spectral multiplier theorem, Strichartz estimates and restriction phenomenon occur on manifolds as well as p-adic number fields.
Sponsorship/Conference/Institution
Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Location
Davidson, NC
Recommended Citation
Zheng, Shijun.
2007.
"Time Decay of Quantum Waves on Riemannian Manifolds – Recent Development."
Mathematical Sciences: Faculty Presentations (1991-2022).
Presentation 422.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/422
