複雑怪奇な現象をとらえる数学をつくる 数物系分野で、世界トップレベルの学生や研究者が集まる拠点へ。早稲田大学オーシャン構想が今、始動します。
。数物系科学コースが17年度から始まります。4月進入者向け募集要項公開中。

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Seminar

Speaker: Daniel BURGARTH (Aberystwyth University, UK)
Date: April 25 Tuesday 16:30-18:00
Room: 早稲田大学 西早稲田キャンパス 55号館N棟2階 応物物理会議室

Title: Dynamical Decoupling of Unbounded Hamiltonians
Abstract: We investigate the possibility to suppress unbounded interactions between a finite dimensional system and an infinite dimensional environment through a fast sequence of unitary kicks on the finite dimensional system. This method, called dynamical decoupling, is known to work for bounded interactions, but physical environments such as bosonic heat baths are usually modeled with unbounded interactions, whence here we initiate a systematic study of dynamical decoupling for unbounded operator. We develop a sufficient decoupling criterion for arbitrary Hamiltonians and a necessary decoupling criterion for semibounded Hamiltonians. We give examples for unbounded Hamiltonians where decoupling works and the limiting evolution as well as the convergence speed can be explicitly computed. We show that decoupling does not always work for unbounded interactions and provide both physically and mathematically motivated examples.

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International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics”

会場:早稲田大学 西早稲田キャンパス55号館N棟第2会議室

Mathematical Analysis of the Navier-Stokes Equations: Foundations and Overview of Basic Open Problems

会場:Cetraro, Cosenza, Italy
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