Item Details

Fractional Calculus [electronic resource]: An Introduction for Physicists

Richard Herrmann, GigaHedron, Germany
Format
EBook; Book; Online
Published
Hackensack, NJ : World Scientific, [2014]
Edition
2nd edition
Language
English
ISBN
9789814551076 (hardcover : alk. paper)
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.
Description
Mode of access: World wide Web.
Notes
Includes bibliographical references (pages 439-472) and index.
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Technical Details
  • Access in Virgo Classic

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    a| 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.
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