Description
Book SynopsisNew Edition: Fractional Calculus: An Introduction for Physicists (3rd Edition)Fractional calculus is undergoing rapid and ongoing development. We can already recognize, that within its framework new concepts and strategies emerge, which lead to new challenging insights and surprising correlations between different branches of physics.This book is an invitation both to the interested student and the professional researcher. It presents a thorough introduction to the basics of fractional calculus and guides the reader directly to the current state-of-the-art physical interpretation. It is also devoted to the application of fractional calculus on physical problems, in the subjects of classical mechanics, friction, damping, oscillations, group theory, quantum mechanics, nuclear physics, and hadron spectroscopy up to quantum field theory.
Table of ContentsFunctions; The Fractional Derivatives; Friction Forces; Fractional Calculus; The Fraction Harmonic Oscillator; Wave Equations and Parity; Nonlocality and Memory Effects; Quantum Mechanics; Fractional Spin; Factorization; Symmetries; The Fractional Symmetric Rigid Rotor; Fractional Spectroscopy of Hadrons; Higher Dimensional Fractional Rotation Groups; Fractional Fields.
