Concept

Symmetry in mathematics

Related lectures (32)

Time Reversal Symmetry

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

Wigner Theorem; Translation Symmetry

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

Symmetry & Group Theory

Covers the fundamental concepts of symmetry and group theory.

Symmetry Elements & Operations

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

Symmetry Operations in Materials Science

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

Discrete Symmetries: P and T

Covers the introduction to Parity (P) and Time Reversal (T) symmetries in Quantum Mechanics.

Discrete Symmetries Introduction

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

Discrete Symmetries: Introduction

Introduces discrete symmetries in Quantum Field Theory and discusses their implications in nature and interactions.

Discrete Symmetries Introduction

Covers the introduction to discrete symmetries and the violation of symmetry by weak interactions.

Electromagnetic Field

Covers the electromagnetic field in astrophysics and field theory, including the symmetry principle and interaction terms.

Crystallography Basics: Symmetry and Crystal Classes

Introduces crystallography basics, covering symmetry elements, crystal classes, and their representations.

Symmetry in Modern Space

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

Symmetry in Architecture

Delves into the mathematical definition of a frieze motif and the concept of symmetry in architecture.

Invariance Representations: Atomistic Machine Learning

Delves into invariance representations for atomistic machine learning, including symmetry functions and higher-order angular correlations.

Asymptotic States and S-matrix: Operators

Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.

Symmetry Operations in Quantum Mechanics

Explores symmetry operations in quantum mechanics, emphasizing the preservation of state properties.

Symmetry and Group Theory: Exercises 1&2

Covers the identification of symmetry elements in molecules and exercises on linear molecules and high-order axes.

Fourier Transform Properties

Covers the properties of the Fourier transform, including linearity, shifts, time reversal, differentiation, integration, convolution, and conjugate symmetry.

Isometries in Euclidean Spaces

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Anisotropic Elasticity 2: Symmetry Operations, Multiphysics

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