Article citationsMore>>

Granot, E. (2019) Derivation of Euler’s Formula and ζ(2k) Using the Nyquist-Shannon Sampling Theorem. American Journal of Signal Processing, 9, 1-5.
http://article.sapub.org/10.5923.j.ajsp.20190901.01.html

has been cited by the following article:

• TITLE: Inverse Square Law in Spectrally Bounded Quantum Dynamics

  AUTHORS: Er’el Granot

  KEYWORDS: Quantum Dynamics, Schrödinger Equation, Inverse Square Law, Euler Formula, Quantum Causality

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.11, November 8, 2019

  ABSTRACT: The object of the paper is to formulate Quantum (Schrödinger) dynamics of spectrally bounded wavefunction. The Nyquist theorem is used to replace the wavefunction with a discrete series of numbers. Consequently, in this case, Schrödinger dynamics can be formalized as a universal set of ordinary differential Equations, with universal coupling between them, which are related to Euler’s formula. It is shown that the coefficient (m, n) is inversely proportional to the distance between the points n and m. As far as we know, this is the first time that this inverse square law was formulated.