2005 年 12 月1 場
200512/29週四 What are good bases of substructures for substructuring methods? 廖本善 博士Department of Mathematics, University of California, Davis 下午 3:00–4:00 國立中央大學鴻經館107室
2005 年 11 月3 場
200511/03週四 Harmonic functions and topology Prof. Jiaping WangSchool of Mathematics University of Minnesota 下午2:00–3:00 國立中央大學鴻經館107室
We will explain some applications of a result of Li and Tam, which relates the harmonic functions to the topology of a complete manifold.
2005 年 10 月1 場
200510/18週二 [理學院跨學門演講] The Saturnian System as Treasure Island 葉永烜教授 上午 10:00 – 12:00 數學系鴻經館 M-116
2005 年 9 月1 場
200509/29週四 On a Product formula related to quantum Zeno dynamics Professor Takashi IchinoseDepartment of Mathematical, Faculty of Science,University of Kanazawa, Japan 下午2:00-3:00 國立中央大學鴻經館 107 室
We prove a product formula which involves the unitary group generated by a semibounded self-adjoint operator and an orthogonal projection P on a separable Hilbert space H, with the convergence in L2_loc(R; H). It gives a partial answer to the question about existence of the limit which describes quantum Zeno dynamics in the subspace Ran(P). The convergence in H is demonstrated in the case of a finite-dimensional P. The main result is illustrated in the example where the projection corresponds to a domain in R^d and the unitary group is the free Schr\"odinger evolution.
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