Ebook: Fractional quantum mechanics
Author: Laskin Nick
- Genre: Physics // Quantum Mechanics
- Tags: Quantum theory., Fractional calculus., Quantum theory -- Mathematics., Fractals., Path integrals., Schrödinger equation., Quantenmechanik, Pfadintegral, Fraktal, QUANTENTHEORIE, GEBROCHENE ANALYSIS (MATHEMATIK), WEGINTEGRALE (FUNKTIONALANALYSIS), QUANTUM THEORY, THÉORIE QUANTIQUE, ANALYSE FRACTIONNAIRE (MATHÉMATIQUES), FRACTIONAL ANALYSIS (MATHEMATICS), PATH INTEGRALS (FUNCTIONAL ANALYSIS), INTÉGRALES DE CHEMIN (ANALYSE FONCTIONNELLE)
- Year: 2018
- Publisher: World Scientific
- Language: English
- pdf
"Fractional quantum mechanics is a recently developed natural generalization of quantum mechanics. This book summarizes fundamentals and applications of fractional quantum mechanics. The book presents the fractional Schrödinger equation, which is a manifestation of fractional quantum mechanics. A new theoretical tool ... fractional path integral ... the path integral over Lévy flights, has been presented. The Read more...
Abstract: "Fractional quantum mechanics is a recently developed natural generalization of quantum mechanics. This book summarizes fundamentals and applications of fractional quantum mechanics. The book presents the fractional Schrödinger equation, which is a manifestation of fractional quantum mechanics. A new theoretical tool ... fractional path integral ... the path integral over Lévy flights, has been presented. The fractional path integral method enhances the well-known Feynman path integral framework. The book covers related topics on time fractional quantum mechanics, fractional classical mechanics and the [alpha]-stable Lévy random process. The book is helpful as a monograph and a handbook for theorists, pure and applied mathematicians, solid-state physicists and chemists working with the Schrödinger equation, the path integral technique and applications of fractional calculus in different research areas"