LEADER 02980nam 2200577 a 450 001 9910789409903321 005 20200520144314.0 010 $a1-283-14870-6 010 $a9786613148704 010 $a981-4340-25-1 035 $a(CKB)2670000000095542 035 $a(EBL)737627 035 $a(OCoLC)733048123 035 $a(SSID)ssj0000522696 035 $a(PQKBManifestationID)12175098 035 $a(PQKBTitleCode)TC0000522696 035 $a(PQKBWorkID)10539404 035 $a(PQKB)11029377 035 $a(MiAaPQ)EBC737627 035 $a(WSP)00008072 035 $a(Au-PeEL)EBL737627 035 $a(CaPaEBR)ebr10480022 035 $a(CaONFJC)MIL314870 035 $a(PPN)158736540 035 $a(EXLCZ)992670000000095542 100 $a20110525d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractional calculus$b[electronic resource] $ean introduction for physicists /$fRichard Herrmann 210 $aSingapore ;$aHackensack, N.J. $cWorld Scientific$dc2011 215 $a1 online resource (274 p.) 300 $aDescription based upon print version of record. 311 $a981-4340-24-3 320 $aIncludes bibliographical references (p. 243-256) and index. 327 $aForeword; 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 327 $a17. Fractors: Fractional Tensor Calculus18. Fractional Fields; 19. Gauge Invariance in Fractional Field Theories; 20. Outlook; Bibliography; Index 330 $aFractional 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 606 $aFractional calculus 615 0$aFractional calculus. 676 $a515.83 700 $aHerrmann$b Richard$0478610 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910789409903321 996 $aFractional calculus$9263675 997 $aUNINA