Fourier Transform: Basics and Applications

Related lectures (32)

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

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

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Covers the basics of signal processing, linear estimation, and digital filters.

Explores angular momentum, energy, and friction in particle systems and analyzes the dynamics of a motorcycle system.

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

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

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

Covers Fourier series, Fourier transforms, and convolution properties, including linearity and commutativity.

Covers the derivation of the scattering amplitude using Lippmann-Schwinger equations and the introduction of Green's functions.

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.

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