Lecture

Flow Field Data Storage and Symmetry Operations

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Covers the fundamental concepts of symmetry and group theory.

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

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Explores time reversal symmetry, invariance under parity, eigenstates, and spin in quantum physics.

Explores the modern definition of symmetry and its practical applications.

Explores symmetry operations in quantum physics, including rotations and translations.

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

Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.

Covers the concept of general transformations in quantum mechanics.

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

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

Covers symmetry elements, point groups, and mathematical symmetry operations.

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

Introduces discrete symmetries, operators, and tetraquarks in quantum field theory.

Covers anisotropic elasticity, symmetry operations, and multiphysics in material science.

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

Explores symmetry operations in chiral molecules and the identification of point groups.

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

Explores the concept of symmetry in various geometric transformations.

Explores fundamental theorems and practical applications of modern symmetry theory, including decorative motifs and linear pattern extensions.