Lectures related to Spherical Tensors and Wigner-Eckart Theorem

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

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

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

Covariant Derivatives and Christoffel Symbols

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

Special and General Relativity

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

Maxwell Lorentz Formulation

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

Tensors and Lorentz Transformations

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

Lorentz Transformations and Covariant Tensors

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

Tensor Analysis: Coordinate Systems

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Vectors and Tensors

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

Representations of SU(2): Symmetries and Transformations

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

Principles of Quantum Physics

Covers the principles of quantum physics, focusing on tensor product spaces and entangled vectors.

Chemical Environments: Representations and Correlations

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

Stress Components & Transformation of Tensors

Covers stress components, tensor transformation, and invariants in continuum mechanics.

Continuum Mechanics: Tensor Analysis and Kinematics

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

Lorentz Invariance and Covariant Tensors

Explores Lorentz invariance, tensors in vector spaces, and electromagnetic potentials.

Fluid Dynamics Fundamentals

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

Coordinate Systems and Rotations

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

Linear Transformations: Matrices and Applications

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Transformation Laws: Diagonalization of Symmetric Tensors

Discusses tensor transformations and diagonalization of symmetric tensors, focusing on stress analysis and the significance of principal stresses.