Fractional calculus [electronic resource] : an introduction for physicists / Richard Herrmann, GigaHedron, Germany.

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Bibliographic Details
Main Author: Herrmann, Richard (Author)
Language:English
Published: Hackensack, NJ : World Scientific, [2014]
Edition:2nd edition.
Subjects:
Fractional calculus.
Online Access:
ProQuest Ebook Central - Academic Complete: 2014 (Ebook Central @ Proquest)
EBSCO eBooks: 2014 (EBSCO)
eBook Academic Collection (EBSCOhost) – North America: 2014 (EBSCO)
Variant Title:
Fractional calculus: an introduction for physicists
Format: Electronic eBook
Contents:
  • Functions
  • The fractional derivative
  • Friction forces
  • Fractional calculus
  • The fractional harmonic oscillator
  • Wave equations and parity
  • Nonlocality and memory effects
  • Fractional calculus in multidimensional space : 2D-image processing
  • Fractional calculus in multidimensional space : 3D-folded potentials in cluster physics
  • Quantum mechanics
  • The fractional Schrödinger equation with the infinite well potential : numerical results using the Riesz derivative
  • Uniqueness of a fractional derivative : the Riesz and regularized Liouville derivative as examples
  • Fractional spin : a property of particles described with the fractional Schrödinger equation
  • Factorization
  • Symmetries
  • The fractional symmetric rigid rotor
  • q-deformed Lie algebras and fractional calculus
  • Infrared spectroscopy of diatomic molecules
  • Fractional spectroscopy of hadrons
  • Magic numbers in atomic nuclei
  • Magic numbers in metal clusters
  • Fractors : fractional tensor calculus
  • Fractional fields
  • Gauge invariance in fractional field theories
  • On the origin of space
  • Outlook.