03014nam 2200589 a 450 991046129390332120200520144314.01-283-14870-69786613148704981-4340-25-1(CKB)2670000000095542(EBL)737627(OCoLC)733048123(SSID)ssj0000522696(PQKBManifestationID)12175098(PQKBTitleCode)TC0000522696(PQKBWorkID)10539404(PQKB)11029377(MiAaPQ)EBC737627(WSP)00008072(PPN)158736540(Au-PeEL)EBL737627(CaPaEBR)ebr10480022(CaONFJC)MIL314870(EXLCZ)99267000000009554220110525d2011 uy 0engur|n|---|||||txtccrFractional calculus[electronic resource] an introduction for physicists /Richard HerrmannSingapore ;Hackensack, N.J. World Scientificc20111 online resource (274 p.)Description based upon print version of record.981-4340-24-3 Includes bibliographical references (p. 243-256) and index.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 Groups17. Fractors: Fractional Tensor Calculus18. Fractional Fields; 19. Gauge Invariance in Fractional Field Theories; 20. Outlook; Bibliography; IndexFractional 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 tFractional calculusElectronic books.Fractional calculus.515.83Herrmann Richard478610MiAaPQMiAaPQMiAaPQBOOK9910461293903321Fractional calculus263675UNINA