Live briefing
Everything about Dirac delta function
Generalized function whose value is zero everywhere except at zero
In mathematical analysis, the Dirac delta function, also known as the unit impulse, is a generalized function on the real numbers, whose value is zero everywhere except at zero, where it is infinite, and whose integral over the entire real line is equal to one. Thus it can be represented heuristically assuch that Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Dirac delta functionA 5-minute orientation
- Skim a recent paper: A Dirac delta function approach for closed-form dynamic response of jointed curved beamsInfluential work since 2022
- Pick up a classic book: Quantum mechanicsThe most-reprinted book on the subject
- Read the landmark paper: Delta shock waves with Dirac delta function in both components for systems of conservation lawsCited 64 times
- Go sideways: Distribution (mathematical analysis)A closely related topic
- Go sideways: Fourier transformA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Delta shock waves with Dirac delta function in both components for systems of conservation laws
All about the dirac delta function(?)
Dirac-delta function approximations to the scattering phase function
Products and compositions with the Dirac delta function
Some applied aspects of the Dirac delta function
Dirac Delta Function of Matrix Argument
Derivatives of the Dirac delta function by explicit construction of sequences
Upper-division student difficulties with the Dirac delta function
🆕 Influential since 2022
A Dirac delta function approach for closed-form dynamic response of jointed curved beams
Students’ difficulties with the Dirac delta function in quantum mechanics
On the Theory and Application of the Fractional-Order Dirac-Delta Function
Analytical solutions of linear delay-differential equations with Dirac delta function inputs using the Laplace transform
On the solutions of fractional differential equations with modified Mittag-Leffler kernel and Dirac Delta function: Analytical results and numerical simulations
📚 Books worth reading
Quantum mechanicsA. K. Ghatak, Ajoy Ghatak · 2004
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Distribution (mathematical analysis) In mathematical analysis, distributions are a type of generalized function that makes it possible to differentiate functions whose derivatives do not exist…
- Fourier transform In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent…
- Fractional Laplacian In mathematical analysis, the fractional Laplacian is an operator that generalizes the notion of the Laplace operator to fractional powers of spatial derivative…
- Heaviside step function The Heaviside step function, or the unit step function, usually denoted by H or θ (but sometimes u, 1 or 𝟙), is a step function named after Oliver Heaviside…
- Laplace operator In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean…
- Radon transform In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional)…
- Support (mathematics) In mathematics, the support of a real-valued function f is the subset of the function's domain consisting of those elements that are not mapped to zero…
- Riesz potential In mathematics, the Riesz potential is a potential named after its discoverer, the Hungarian mathematician Marcel Riesz. In a sense, the Riesz potential…