Fractional calculus an introduction for physicists
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...
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| 1. Verfasser: | |
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
New Jersey, NJ u.a.
World Scientific
2014
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| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online Zugang: | Inhaltsverzeichnis Inhaltstext |
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Tag hinzufügen | Zusammenfassung: | 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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| Beschreibung: | Literaturverz. S. 439 - 472 |
| Beschreibung: | XIX, 479 S. Ill., graph. Darst. |
| ISBN: | 9789814551076 978-981-4551-07-6 |