Fractional Quantum Mechanics

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Fractional Quantum Mechanics
Fractional SchrAfA?dinger Equation
Fractional Schrodinger Equation
Fractional Schrödinger Equation
Fractional Statistical Mechanics
LAfA(C)vy Path Integral
Levy Path Integral
Lévy Path Integral
Non-Linear Fractional SchrAfA?dinger Equation
Non-Linear Fractional Schrodinger Equation
Non-Linear Fractional Schrödinger Equation
Path Integral Approach
Quantum Kernel
Quantum Riesz Fractional Derivative
Time Fractional Quantum Mechanics

Product details

  • ISBN 9789813223790
  • Publication Date: 12 Jul 2018
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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.

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