Vector Operators: Rotation and Quantum Mechanics

Related lectures (30)

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Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.

Explores irreducible representations of the rotations group and their mathematical properties.

Covers vector operators and the Wigner-Eckart theorem in quantum mechanics.

Explores the physical interpretation of the Schur lemma in quantum physics.

Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.

Delves into symmetry reduction in quantum mechanics using Schur Lemmas, showcasing how group representations simplify system analysis.

Explores quantum sensing, rotations, and coherent states in the context of two-level systems, the Bloch Sphere, and Rabi oscillations.

Covers Burnside's Lemma, Schur Lemmas, and their proofs in group theory and quantum mechanics.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.