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3D rotation group
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Symmetry in quantum mechanics
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Related lectures (32)
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Rotations: Angular Momentum
Covers angular momentum in rotations, including preservation of angles and vector products.
Conformal Transformations: Part 1
Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.
Geometric Nonlinearity: Large Rotations in Structural Analysis
Delves into geometric nonlinearity in structural analysis, emphasizing the impact of large rotations on structural response.
Irreducible Representations of Rotations Group
Explores irreducible representations of the rotations group and their mathematical properties.
Lie Groups: SU(2) and SO(3)
Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.
Angular Momentum: Generators and Operators
Covers angular momentum generators, operators, and finite rotations in quantum mechanics.
Hamiltonian Formalism: Conservation Laws
Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.
Symmetries of Navier-Stokes Equations
Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.
Scalar Products in 2D and 3D Geometry
MOOC: Linear Algebra (Part 3)
Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.
Spinorial Fields: Lorentz Group Representation
Covers the most general representation of Lorentz group on spinorial fields.
Geometric Transformations in R2 and R3: Visualizations and Rotations
Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.
Rotations: Kinetic Observations and Constraints
Explores empirical observations, kinetic energy, and constraints in rotations, including the generalization of forces and 3D rotations.
Analyse 1: Group Rotation and Basic Rules of Hygiene
Discusses group rotation, hygiene rules, and set operations in Autumn 2020.
3D Rotations and Quaternions
Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.
Space Identification: SO(3)
Explores the identification of the space SO(3) and the topology of SS-space of R₃(R).
Particle in a Central Potential
Explores the behavior of a particle in a central potential and its invariance under rotations.
Geometric Transformations Compositions
Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.
Solid Mechanics: Motion Analysis
Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.
Galois Coatings: Symmetrical and Faulty
Explores Galois coatings, focusing on symmetrical structures with three faults and their properties.
Experiments, Rotations
MOOC: Material Point Mechanics
Covers experiments related to mechanics and the phenomenon of a falling cat landing on its paws.
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