Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Lecture

Fourier Transform: Basics and Applications

Related lectures (46)

Quantum Physics I

Explores eigenvalues, ladder operations, and quantum number values in quantum physics.

Plasma Collisions: Coulomb Force

Analyzes Coulomb collisions between charged particles and the conservation of energy, momentum, and angular momentum.

Quantum Fluids: Cross Section & Lifetime

Covers the concepts of cross section and lifetime in quantum fluids, focusing on transition and differential probabilities.

Quantum Physics I

Covers the transmission operator, commutation relations, position representation, momentum eigenstates, and Fourier transform properties.

Wigner-Eckart Theorem

Explores the Wigner-Eckart theorem and its applications in quantum physics.

Magnetic Scattering: Pairwise Little Group and Pairwise Helicity

Explores magnetic scattering, focusing on pairwise little group and helicity, constructing the S-matrix and analyzing multi-particle representations.

Scaling & Renormalization in Statistical Mechanics

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Introduction to Quantum Mechanics

Introduces quantum mechanics, covering S-matrix, scattering amplitudes, and optical theorem.

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.

Electron-positron annihilation

Explores Quantum Electrodynamics calculations for electron-positron annihilation, focusing on cross sections, spin considerations, chiral states, and Lorentz invariance.

DFT definition: Fourier Basis and Basis Expansion

Covers the DFT definition, Fourier Basis, basis expansion, and signal representation.

Numerical Methods: Boundary Value Problems

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Signal Representations

Covers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.

Fourier Series and Analysis

Covers Fourier series, analysis, the heat equation, Gibbs phenomenon, and Fourier transform properties.

Newton and Ballistics: Demonstrations and Laws

Explores Newtonian physics, ballistics laws, and angular momentum principles in motion analysis.

Spectral Properties of Fourier Series and Fourier Transforms

Explores the motivation behind Fourier series and transforms, their fundamentals, and applications in solving differential equations.

Discrete Symmetries: Asymptotic States and S-matrix

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

Linear Algebra: Matrices Properties

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

Correlation Functions & Spectra

Covers correlation functions, Franck-Condon transitions, Born-Oppenheimer approximation, and spectra.

Lattices: Properties and Theta Functions

Explores lattices in Rd, Gram matrices, theta functions, and modular properties.