Fractional evolution in quantum mechanics. (March 2019)

• Record Type: Journal Article
• Authors: Iomin, A.
• Is Part Of: Chaos, solitons & fractals. Volume 1(2019)
• Publication Date: 2019-03
• Subjects: Caputo fractional derivative -- Fractional Schrödinger equation -- Path integral -- Fractional Taylor expansion -- Fractional Heisenberg equation of motion; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Solitons; Fractals; Chaotic behavior in systems; Periodicals; Electronic journals; 003.7
• DOI: 10.1016/j.csfx.2018.100001
• Languages: English
• ISSNs: 2590-0544

Abstract

Highlights: Fractional Schrödinger equation is considered. A correct form of the fractional Schrödinger equation is presented. Fractional Heisenberg equations of motion are discussed. Abstract: Fractional time (non-unitary) quantum mechanics is discussed for both Schrödinger and Heisenberg representations of quantum mechanics. A correct form of the fractional Schrödinger equation is elucidated. A generic regularization procedure for the fractional Heisenberg equations of motion is suggested that makes it possible to solve these nonlinear equations in the framework of photonic and spin coherent states consideration.