Lecture

K41 Theory: Energy Spectra and Turbulence Structure

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Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Symmetry & Group Theory

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Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Flow Field Data Storage and Symmetry Operations

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Inertia Tensor: Main Axes and Principal Moments

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

Symmetry and Group Theory: Exercise Set 4

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

Symmetry Operations in Materials Science

Covers symmetry operations in materials science, including rotations and helical axes.

Global Conservation Laws

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Symmetries in Diffusion Equations

Explores symmetries in diffusion equations, showing how they simplify analysis and infer solution properties.

Symmetry in Modern Geometry

Delves into modern geometry, covering transformations, isometries, and symmetries.

Symmetry and Group Theory: Exercise Set 3

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Equilibrium in Tension: Verification and Compatibility

Covers the verification of equilibrium equations and compatibility in tension scenarios, ensuring uniform stress distribution.

Postulates of Quantum Mechanics

Explores the postulates of Quantum Mechanics, focusing on states, time evolution, and measurement.

Symmetry in Modern Topology

Explores the concept of symmetry in various geometric transformations.

Symmetry in Finite Element Models

Explores using symmetries in Finite Element models to simplify boundary conditions and reduce rigid-body motions.

Turbulence and Symmetry

Introduces turbulence and symmetry in fluid dynamics, exploring the effects of Reynolds number on flow patterns.

Wigner Theorem; Translation Symmetry

Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.

Staggered Bosons: Symmetry and Gaplessness

Explores staggered bosons, lattice realizations of gapless field theories with symmetry protection, commutation relations, and criticality.