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Operator Algebras in Quantum Theory: A Practical Perspective

Friday, June 7, 2019
12:00 PM - 1:00 PM
Location: East Bridge 114
Oleg Kabernik, Graduate Student, Raussendorf Group, University of British Columbia

Abstract: Operators, the main mathematical objects in quantum theory, are rarely recognized as elements of an operator algebra. Operators that represent symmetries, on the other hand, are elements of a group that is one of the most consequential ideas in modern physics. In this talk I will introduce operator algebras as a practical alternative to symmetries and review their common irreducible representations (irrep) structure. Motivated by a variety of physical applications, I will show a convenient way of visualizing the irrep structure of an operator algebra and a practical, not necessarily numeric, algorithm that constructs it. I will end with a concrete example of a calculation that can be performed using operator algebra irrep decomposition.

Series: IQIM Postdoctoral and Graduate Student Seminar Series
For more information, please phone 626-395-4013 or email marciab@caltech.edu

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