Learn the fundamental concepts of group representation theory in quantum mechanics through a lecture focusing on orthogonality relations for characters, covering key topics like functions and quantum states on groups, inverse matrices, scalar products, scale product notation, three-dimensional matrices, and the relationship to cubic lattices, all presented through a metastory framework that connects these mathematical concepts.
Symmetries and Quantum Mechanics - Orthogonality Relations for Characters - Lecture 5
Overview
Syllabus
Introduction
Summary
Function on the group
Quantum states on the group
Inverse matrices
Scalar product
Scale of product notation
Threedimensional matrices
The Metastory
Cubic lattice
Taught by
Tobias Osborne
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