Mathematics
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Department of Mathematics & Statistics
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Dr Melissa Tacy

Office: Science III, room 220
Phone: 479-7769
Email: mtacy@maths.otago.ac.nz


Research Interests


My research lies within the intersection of microlocal analysis, semiclassical analysis and harmonic analysis. I am particularly interested in problems relating to the area of quantum chaos. The driving question of quantum chaos asks what echoes of classical dynamics (particularly chaotic dynamics) are apparent in high energy quantum systems. A major focus of this field is the study of high energy eigenfunctions, or quasimodes (approximate eigenfunctions), of operators such as the Laplace-Beltrami operator. Such functions arise as stationary states of the Schrodinger equation where their eigenvalue is interpreted as the energy of that state.


Publications