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Chua, C.-K., Liu, T.-U. and Wong, G.-G. (2018) Time-Independent Green’s Function of a Quantum Simple Harmonic Oscillator System and Solutions with Additional Generic Delta-Function Potentials. Journal of Physics Communications, 2, Article ID: 035007.
https://doi.org/10.1088/2399-6528/aa9eeb

has been cited by the following article:

• TITLE: Application of Exponential Kernel to Laplace Transform

  AUTHORS: Sami M. AL-Jaber

  KEYWORDS: Kernels, Integral Transforms, Laplace Transforms, Singularity

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.5, May 27, 2019

  ABSTRACT: In this paper, the exponential decreasing kernel is used in Laplace integral transform to transform a function from a certain domain to another domain. It is shown, in a rigorous way, that the Laplace transform of the delta function is exactly one half rather than one, as it is believed. In addition, when this kernel is used in integral transform of attractive and repulsive Coulomb potential, it yields a finite definite value at the point of singularity.