Invariance Representations: Atomistic Machine Learning

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

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

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

Covers the fundamental concepts of symmetry and group theory.

Covers gyroscopic effects and angular momentum in rotation dynamics.

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

Explores the modern definition of symmetry and its practical applications.

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

Covers the concept of general transformations in quantum mechanics.

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