Fractional calculus : an introduction for physicists / Richard Herrmann.

Format:

Book

Author/Creator:

Herrmann, Richard.

Language:

English

Subjects (All):

Fractional calculus.

Physical Description:

1 online resource (274 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, N.J. : World Scientific, c2011.

Language Note:

English

Summary:

Fractional calculus is undergoing rapidly 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 t

Contents:

Foreword; Acknowledgments; Contents; 1. Introduction; 2. Functions; 3. The Fractional Derivative; 4. Friction Forces; 5. Fractional Calculus; 6. The Fractional Harmonic Oscillator; 7. Wave Equations and Parity; 8. Nonlocality and Memory Effects; 9. Quantum Mechanics; 10. Fractional Spin: a Property of Particles Described with the Fractional Schr ̈odinger Equation; 11. Factorization; 12. Symmetries; 13. The Fractional Symmetric Rigid Rotor; 14. q-deformed Lie Algebras and Fractional Calculus; 15. Fractional Spectroscopy of Hadrons; 16. Higher Dimensional Fractional Rotation Groups

17. Fractors: Fractional Tensor Calculus18. Fractional Fields; 19. Gauge Invariance in Fractional Field Theories; 20. Outlook; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 243-256) and index.

ISBN:

9786613148704

9781283148702

1283148706

9789814340250

9814340251

OCLC:

733048123