Dirac introduced the delta function in his 1930 work, "The Principles of Quantum Mechanics," as a continuum analogue to the discrete Kronecker delta. The Dirac delta function, denoted as δ(x), is defined to be zero everywhere except at x = 0, where it is infinite, and its integral over the entire real line equals 1. This function serves crucial roles in quantum mechanics, particularly in representing continuous eigenstates and simplifying calculations in electrodynamics and signal processing. The formalization of the Dirac delta as a distribution was later developed by Laurent Schwartz in the 1940s and 1950s.
PREREQUISITESStudents and professionals in physics, particularly those focusing on quantum mechanics, mathematical physics, and applied mathematics. This discussion is also beneficial for educators and researchers interested in the historical development of mathematical tools in physics.
TensorTronic-270 said:cut something from a paper I thought looked useful.
TensorTronic-270 said:OF COURSE, I wouldn't know, I cant ... I can no more tell you the correct syntax than i can tell you what the equation means! let alone its syntax!.
On PF, AI output is not considered to be a valid source, and this thread is an excellent example why. What you posted is an AI hallucination, and because you didn't know the material you didn't recognize it as a hallucination.TensorTronic-270 said:Do you hear that sound the Ai makes?, its the sound of the 21st Century steam engine and you're the threshers of old. Science's reputation under siege like never before, and you not helping with this "Attitude".