"Fractional quantum mechanics is a recently emerged and rapidly developing field of quantum physics. This is the first monograph on fundamentals and physical applications of fractional quantum mechanics, written by its founder.The fractional Schrödinger equation and the fractional path integra...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Laskin, Nick (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Singapore World Scientific Publishing Company Pte Limited 2018
Schlagworte:	Quantum theory / Mathematics Fractals Path integrals Schrödinger equation Electronic books Quantenmechanik Pfadintegral Fraktal
Online-Zugang:	UBY01 URL des Erstveröffentlichers
Zusammenfassung:	"Fractional quantum mechanics is a recently emerged and rapidly developing field of quantum physics. This is the first monograph on fundamentals and physical applications of fractional quantum mechanics, written by its founder.The fractional Schrödinger equation and the fractional path integral are new fundamental physical concepts introduced and elaborated in the book. The fractional Schrödinger equation is a manifestation of fractional quantum mechanics. The fractional path integral is a new mathematical tool based on integration over Lévy flights. The fractional path integral method enhances the well-known Feynman path integral framework. Related topics covered in the text include time fractional quantum mechanics, fractional statistical mechanics, fractional classical mechanics and the α-stable Lévy random process. The book is well-suited for theorists, pure and applied mathematicians, solid-state physicists, chemists, and others working with the Schrödinger equation, the path integral technique and applications of fractional calculus in various research areas. It is useful to skilled researchers as well as to graduate students looking for new ideas and advanced approaches."--Publisher's website
Beschreibung:	Includes bibliographical references (pages 331-337) and index What is fractional quantum mechanics? -- Fractals -- Fractional Schrödinger equation -- Time-independent fractional Schrödinger equation -- Fractional uncertainty relation -- Path integral over Lévy flights -- A free particle quantum kernel -- Transforms of a free particle kernel -- Fractional oscillator -- Some analytically solvable models of fractional quantum mechanics -- Fractional non-linear quantum dynamics -- Time fractional quantum mechanics -- Applications of time fractional quantum mechanics -- Fractional statistical mechanics -- Fractional classical mechanics -- Fractional dynamics in polar coordinate system
Beschreibung:	1 online resource (358 pages) illustrations
ISBN:	9789813223806 9789813223813