Concept

One-dimensional symmetry group

Related lectures (30)

Symmetry Elements & Operations

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

Symmetry & Group Theory

Covers the fundamental concepts of symmetry and group theory.

Symmetry Operations in Materials Science

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

Crystal Symmetry and Structures

Explores crystal symmetry, systems, lattices, and space groups, emphasizing solid state structures and close-packed arrangements.

Symmetry and Group Theory: Exercises 1&2

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

Point Groups and Linear Molecules

Covers the concept of point groups and their systematic classification, focusing on linear molecules.

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 and Group Theory: Exercise 5

Covers the basis for irreducible representations and characters of direct product representations.

Symmetries and Conservations

Explores generalized momentum, cyclic variables, symmetries, and conservation principles in mechanics, including Noether's theorem and mechanical energy conservation.

Symmetry and Group Theory

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

Fourier Transform Properties

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

Crystal Symmetry and Point Groups

Covers crystal symmetry, point groups, crystal classes, and space groups in relation to crystal structures and descriptions.

Symmetry in Chemistry

Explores symmetry in chemistry, covering reflection planes, dihedral groups, cubic groups, and geometric shapes.

Quantum Mechanics Rotations

Delves into quantum mechanical rotations, discussing SU(2), SO(3), group representations, and topological properties.

DTFT Properties

Covers the properties of the Discrete-Time Fourier Transform, including linearity, shifts, time reversal, differentiation, convolution, conjugate symmetry, and Parseval's Relation.

Continuous Symmetries; Parity Symmetry

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

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Symmetry Elements in Materials Science

Covers the fundamental concepts of symmetry elements in materials science.

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

Covers symmetry operations, isomorphic representations, and point groups in molecules.