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Quantum Galilei Group as Quantum Reference Frame Transformations

Centre International de Rencontres Mathématiques via YouTube

Overview

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This lecture explores the intersection of quantum information and reference frame transformations, demonstrating how quantum reference frame transformations can be understood as quantum group transformations. Discover how the quantum deformation of the Galilei group with commutative time corresponds to quantum reference frame transformations when the noncommutative transformation parameters are represented on a quantum particle's phase space. Learn about the relationship between the quantum deformation parameter and the inverse mass of the particle serving as the quantum reference frame. Recorded during the thematic meeting "Applications of NonCommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time" on April 10, 2025, at the Centre International de Rencontres Mathématiques in Marseille, France. Access this and other mathematical talks on CIRM's Audiovisual Mathematics Library, featuring helpful functionalities like chapter markers, keywords, abstracts, bibliographies, and multi-criteria search options.

Syllabus

Giulia Gubitosi: Quantum Galilei group as quantum reference frame transformations

Taught by

Centre International de Rencontres Mathématiques

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