Quantum Mechanics and Control Using Fractional Calculus: A Study of the Shutter Problem for Fractional Quantum Fields

• Published in: Applied Mechanics Vol. 3; no. 2; pp. 413 - 463
• Main Author: Blackledge, Jonathan
• Format: Journal Article
• Language: English
• Published: Zwijnaarde MDPI AG 01.06.2022
• Subjects: Calculus; diffraction in time; fractional diffusion equation; fractional Klein–Gordon equation; fractional quantum mechanics; fractional Schrödinger equation; Partial differential equations; Quantum physics; quantum shutter problem

The ‘diffraction in space’ and the ‘diffraction in time’ phenomena are considered in regard to a continuously open, and a closed shutter that is opened at an instant in time, respectively. The purpose of this is to provide a background to the principal theme of this article, which is to extend the ‘...