Fractional calculus: an introduction for physicists
"This book is an invitation both to the interested student and the professional researcher. It presents a thorough introduction to the basics of fractional calculus and guides the reader directly to the current state-of-the-art physical interpretation. It is also devoted to the application of fractional calculus on physical problems, in the subjects of classical mechanics, friction, damping, oscillations, group theory, quantum mechanics, nuclear physics, and hadron spectroscopy up to quantum fi…
Read More ↓Title Statements
- Full title :Fractional calculus : an introduction for physicists / Richard Herrmann.
Summary
"This book is an invitation both to the interested student and the professional researcher. It presents a thorough introduction to the basics of fractional calculus and guides the reader directly to the current state-of-the-art physical interpretation. It is also devoted to the application of fractional calculus on physical problems, in the subjects of classical mechanics, friction, damping, oscillations, group theory, quantum mechanics, nuclear physics, and hadron spectroscopy up to quantum field theory."--Publisher description.
Read More ↓Edition Statements
- Publication Date:©2011.
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:Singapore
- Language:eng
- Publication Date:©2011.
The Physical Object
- Description:xii, 261 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:9789814340243, 9814340243
- oclc:ocn681502997
- LC Classification:QC20.7.F75
- Dewey Decimal:530.15583
Table of Contents
Functions -- The fractional derivative -- Friction forces -- Fractional calculus -- The fractional harmonic oscillator -- Wave equations and parity -- Nonlocality and memory effects -- Canonical quantization -- Fractional spin: a property of particles described with the fractional Schrodinger equation -- Factorization -- Symmetries -- The fractional symmetric rigid rotor -- q-deformed lie algebras and fractional calculus -- Fractional spectroscopy of hadrons -- Higher dimensional fractional rotation groups -- Fractors: fractional tensor calculus -- Fractional fields -- Gauge invariance in fractional field theories -- Outlook.
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