Caltech Home > PMA Home > Master Calendar > IQIM Postdoctoral and Graduate Student Seminar
Search
Friday, June 07, 2019
12:00 PM - 1:00 PM
East Bridge 114

IQIM Postdoctoral and Graduate Student Seminar

Operator Algebras in Quantum Theory: A Practical Perspective
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.

For more information, please contact Marcia Brown by phone at 626-395-4013 or by email at marciab@caltech.edu.