Introduction to Quantum Group Theory for College Math Majors

Soveraign
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I'm looking for a good introduction on quantum group theory for someone who has already had a semester class on group theory. I'll be putting together a short paper (5 pages) on the topic with the intended audience of college math majors. My naive understanding is that symmetry and interaction properties of subatomic particles can be modeled using special kinds of groups. I need a resource that can help me take the step from simple groups you study in a math course to how one can apply them to quantum mechanics (simple examples would be great too).

Any help is appreciated!

Brian
 
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Great idea you have here !
A major book in this context :
Howard Georgi, "Lie Algebras in Particle Physics" Addison Wesley Frontiers in Physics Series.
 
Thanks for the pointers! Some of those resources are about the level I'm looking for.

Brian
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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