- #1
abc def
- 1
- 0
Where can i find the proof of dirac's function properties?
abc def said:Where can i find the proof of dirac's function properties?
If you wish to understand what the Dirac delta "really is", and how it might be represented as a sort of "limit", then you may read the following tutorial:abc def said:Where can i find the proof of dirac's function properties?
The Dirac (delta) function, also known as the Dirac delta distribution, is a mathematical function that is defined as zero everywhere except at the origin, where it is infinite. It is often used in physics and engineering to model point-like or concentrated forces or impulses.
The Dirac (delta) function is represented mathematically as δ(x) or δ0(x), where x is the independent variable. It can also be written as a limit of a sequence of functions, such as the Gaussian function or the rectangular function.
The Dirac (delta) function has several important properties, including:
The Dirac (delta) function is used in physics to model point-like or localized forces or impulses. For example, it is used to represent the force exerted by a particle on a mass, or the voltage spike caused by a sudden change in current. It is also used in quantum mechanics to describe the position and momentum of particles.
Technically, the Dirac (delta) function cannot be graphed since it is an infinitely thin function. However, it can be visualized as a tall and narrow spike at the origin, with a height of infinity. Alternatively, it can be approximated by a very narrow and tall rectangular pulse, which becomes narrower and taller as the pulse's area approaches 1.