Anmerkungen:
Includes bibliographical references (pages 557-601) and index
Beschreibung:
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.