Kravchenko, V.F., Kravchenko, O.V. and Safin, A.R. (2010) A New Construction of Solution of Schrodinger Equation on the Basis of Atomic Functions. 2010 International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves, Kharkiv, 21-26 June 2010, 1-3.
https://doi.org/10.1109/msmw.2010.5546001

has been cited by the following article:

• TITLE: Atomic Quantum Mechanics Based on Atomic Functions

  AUTHORS: Sergei Yu. Eremenko

  KEYWORDS: Quantum Mechanics, Atomic Function, Atomic Wave Function, Atomic Oscillator, Atomic Spacetime, Unified Theories

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.11, November 28, 2024

  ABSTRACT: Based on theorems, the Atomic AString Functions theory, evolving since the 1970s, is introduced into Quantum Mechanics to represent a wave function via the shifts and stretches of smooth finite Atomic Function pulses/solitonic atoms. It leads to a novel ‘atomic interpretation’ where wave functions become the superpositions of localized Atomic Wave Functions, which can also describe collapsed wave functions, represent Gaussians, uphold Heisenberg’s uncertainly principle, and a more generic concept of Atomic Harmonic Oscillator. Atomic Functions can solve the boundary wave function discontinuity problem for particle-in-a-box and other solutions by introducing atomic wave packets. It highlights some limitations of the Schrödinger equation, yielding harmonic representations that may not be flexible enough to satisfy complex boundary conditions. The theory follows more generic research on Atomic Spacetime, quantum gravity, and field theories to derive common mathematical blocks of unified fields similar to loop quantum gravity and strings theories.