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Related lectures (39)

Elements of Lie Groups and Algebras

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Spherical Tensors and Wigner-Eckart Theorem

Covers the transformation of vectors and tensors in quantum physics.

Indicial Notation and Vectors

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

Maxwell Lorentz Formulation

Covers the reminder of tensors, vectors, and Lorentz transformations, and the formulation of theory.

Covariant Derivatives and Christoffel Symbols

Covers accelerated and inertial coordinate systems, Jacobian, volume elements, covariant derivatives, Christoffel symbols, Lorentz case, and metric tensor properties.

Tensors and Lorentz Transformations

Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.

Special and General Relativity

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Geometric Transformations in the Plane: Orientation

Covers the concept of orientation in the plane and transformations using matrices.

Coordinate Systems and Rotations

Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.

Conformal Transformations: Part 1

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

Continuum Mechanics: Tensor Analysis and Kinematics

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Representations of SU(2): Symmetries and Transformations

Covers the representations of SU(2) and their transformations in quantum mechanics.

Fluid Dynamics Fundamentals

Covers deriving fluid dynamics equations, including mass conservation and stress-strain relationships, through differential analysis and key mathematical concepts.

Geometric Transformations in R2 and R3

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Isometries in Euclidean Spaces

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Rotations: Angular Momentum

Covers angular momentum in rotations, including preservation of angles and vector products.

Irreducible Representations of Rotations Group

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

Lorentz Transformations and Covariant Tensors Log in to Mediaspace to watch this video

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Chemical Environments: Representations and Correlations Log in to Mediaspace to watch this video

Explores chemical environment representations, symmetrized correlations, and machine learning applications at the atomic scale.

Vectors and Tensors Log in to Mediaspace to watch this video

Covers the basics of vectors in 3 dimensions, including representation, unit vectors, and basis transformations.

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