Construction of Dirac Delta Function from the Discrete Orthonormal Basis of the Function Space
Orthonormal basis of the function space can be used to construct Dirac delta function. In particular, set of eigenfunctions of the Hamiltonian operator of a particle in one dimensional infinite potential well forms a non-degenerate discrete orthonormal basis of the function space. Such a simple basis set is suitable to study closure property of the basis and various properties of Dirac delta function in Physics graduate lab.
The Himalayan Physics Vol. 6 & 7, April 2017 (54-57)