This function doesn't exist. So why is it everywhere in physics?
The Dirac delta function, visually explained! 📝 Get the notes for free here: https://courses.physicswithelliot.com...
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📖 Video summary:
The Dirac delta function is one of the most useful—but also, most commonly misunderstood—mathematical objects used throughout physics, engineering, and applied math.
In this lesson, I'll teach you the physical intuition behind the delta function, as well as its more precise formulation using the mathematical theory of distributions. We'll also discuss five key applications where the delta function plays an essential role:
The density function for a point-like mass or electric charge
The impulsive force from a mechanical collision
Gauss's law for the electric field of a point charge
The Fourier Transform of a constant function
The wavefunction of a quantum particle at a definite position
🏷️ Chapters:
0:00 Introduction
0:58 Basic idea
2:45 Density of a point particle
5:50 Course
6:52 Key properties
12:13 Distributions
17:42 Impulsive force
19:31 Gauss's law for a point charge
24:04 Fourier Transform
27:29 Quantum wavefunction
28:31 Next steps
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About me:
I’m Dr. Elliot Schneider. I love physics, and I want to help others learn (and learn to love) physics, too. Whether you’re a beginner just starting out with your physics studies, a more advanced student, or a lifelong learner, I hope you’ll find resources here that enable you to deepen your understanding of the laws of nature. For more cool physics stuff, visit me at https://www.physicswithelliot.com.