
Fractional calculus : an introduction for physicists
Richard Herrmann
Bok · Engelsk · 2014
Utgitt | New Jersey, NJ [u.a.] : World Scientific , 2014
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Omfang | XIX, 479 S. : Ill., graph. Darst.
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Utgave | 2. ed.
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Opplysninger | Literaturverz. S. 439 - 472. - 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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Emner | |
Dewey | |
ISBN | 9789814551076 : GBP 58.00
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