Lectures related to Symmetry & Group Theory

Explores the modern definition of symmetry and its practical applications.

Discrete Symmetries: Asymptotic States and S-matrix

Covers the concept of discrete symmetries, focusing on the introduction to asymptotic states and S-matrix.

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

Explores symmetry and group theory applications in chemistry, covering matrix representations, normal modes, and harmonic oscillators.

Symmetry Elements & Operations

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

Isometries in Euclidean Spaces

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

Symmetry Operations: Products and Groups

Covers the products of symmetry operations and properties of cyclic and Abelian groups.

Linear Algebra: Matrices Properties

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Geometric Transformations in R2 and R3: Visualizations and Rotations

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Symmetries of Navier-Stokes Equations

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Staggered Bosons: Symmetry and Gaplessness

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

Symmetry in Modern Topology

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

Symmetry and Group Theory: Exercise Set 3

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Symmetry Operations in Quantum Mechanics

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

Symmetry and Group Theory: Exercise Set 4

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

Symmetry Operations in Molecules

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

Continuous Symmetries; Parity Symmetry

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

Isometries and Orthonormal Bases

Discusses isometries and orthonormal bases in mathematics.

General Transformations

Covers the concept of general transformations in quantum mechanics.

Symmetry in Modern Geometry

Explores symmetry in modern geometry, focusing on isometries, reflections, rotations, and translations, emphasizing the importance of 180-degree rotations.