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Tensors & Indices Recap
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Related lectures (42)
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.
Spherical Tensors and Wigner-Eckart Theorem
Covers the transformation of vectors and tensors in quantum physics.
Vector Transformation and Tense
Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Special and General Relativity
Introduces special and general relativity, Einstein equations, and gravitational dynamics.
Special Relativity
Covers the main points of special relativity, including symmetries, transformations, 4-vectors, Maxwell equations, and proper time.
Tensor Analysis: Coordinate Systems
Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.
Christoffel Symbols and Gravity Before Einstein
Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.
Indicial Notation and Vectors
Explores indicial notation, vectors, and the transformation law in the context of mass flux density.
Tensor Properties
Covers the properties of tensors and their applications in various fields.
Maxwell Lorentz Formulation
Covers the reminder of tensors, vectors, and Lorentz transformations, and the formulation of theory.
Representations of SU(2): Symmetries and Transformations
Covers the representations of SU(2) and their transformations in quantum mechanics.
Covariance: Understanding the Concepts
Explores the concept of covariance, its meanings, and practical applications in tensor transformation laws.
Differential Geometry of Surfaces
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Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Covariant and Contravariant Tensors: Maxwell Field Strength
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Explores contravariant and covariant tensors, Maxwell field strength, and Lorentz invariance in linear transformations and metric properties.
Shells I
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Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.
Lorentz Transformations and Covariant Tensors
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Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.
Chemical Environments: Representations and Correlations
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Explores chemical environment representations, symmetrized correlations, and machine learning applications at the atomic scale.
Differential Geometry of Surfaces
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Covers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.
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