Lectures related to Dirac measure

Covers the definition and applications of the Dirac Delta function in signal processing.

Covers the concept of Quantum Verifier Qubit Test and its practical applications.

Covers the Dirac delta function, Laplace transforms, and unimolecular reactions with convolution emphasis.

Quantum Transport: Scattering Matrix Approach

Explores quantum transport using the scattering matrix approach to analyze conductance and resistance in electron movement.

Dirac Delta Function

Introduces the Dirac delta function and discusses its properties and applications in signal processing and physics.

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.

Quantum Mechanics: GHZM Argument

Explores the GHZM argument and the Measurement Chain in quantum mechanics, emphasizing deterministic evolution.

The Riesz-Kakutani Theorem

Explores the construction of measures, emphasizing positive functionals and their connection to the Riesz-Kakutani Theorem.

Signals & Systems I: Distributions and Linear Systems

Covers distributions, linear systems, impulse response, convolution, and examples of linear systems.

Fourier Transform: Basics and Examples

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

Particle decay rates

Explores particle decay rates through Fermi's Golden Rule and perturbation theory.

Construction of Interior and Exterior Measures

Explores the construction of measures, focusing on positive functionals and their properties in measure theory.

Fourier Series: Periodic Functions and Sine/Cosine Interactions

Covers the Fourier series and interactions between sine and cosine functions.

Distributions and Laplace Transform: Key Concepts

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.

Compensation Circuits: Response Time and Bandwidth

Explores passive electric compensation circuits for first-order systems, focusing on response time and bandwidth, as well as different measurement structures and closed-loop feedback systems.

Electrodynamics: Gauge Invariance and Electrostatics

Explores gauge invariance, electrostatics, Maxwell's equations, and boundary conditions.

Fourier Transforms: Dirac Delta, Fourier Integral, and Transform

Explores the Dirac delta, Fourier integral, and Fourier transform applications in solving PDE problems.

Quantum Mechanics: Sidney Coleman's Lecture

Explores Sidney Coleman's humorous take on Quantum Mechanics, emphasizing deterministic evolution and the challenges of interpreting quantum reality.

Analysis IV: Convolution and Hilbert Structure

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

Control Systems Review: Impulse Response

Explains impulse response in control systems and its importance in characterizing system behavior.