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Dirac delta function
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Related lectures (32)
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Particle decay rates
Explores particle decay rates through Fermi's Golden Rule and perturbation theory.
Spectral Theory: Regularity and Embedding
Explores spectral theory, emphasizing regularity properties and embedding theorems in the context of Sobolev spaces and compactly supported functions.
Continuous Variable Representation
Covers the time evolution for non-time invariant systems and continuous and discrete degrees of freedom.
Quantum Transport: Scattering Matrix Approach
Explores quantum transport using the scattering matrix approach to analyze conductance and resistance in electron movement.
Impulse-train Sampling: The Sampling Theorem
Covers impulse-train sampling, the sampling theorem, and reconstructing signals from samples in the frequency domain.
Laplace Transform: Basics
Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.
Fourier Transform: Diffusion Equation
Explores the derivation of the diffusion equation using Fourier transforms and discusses the significance of Dirac delta functions in mathematical analysis.
Signal Sampling and Reconstruction: Fundamentals
Covers the fundamentals of signal sampling and reconstruction, including the sampling theorem and practical reconstruction systems.
Laplace Transform: Basics
Covers the Laplace transform, region of convergence, impulse response, and multiple poles.
Signals & Systems I: Distributions and Linear Systems
Covers distributions, linear systems, impulse response, convolution, and examples of linear systems.
