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FRACTIONAL CALCULUS: AN INTRODUCTION FOR PHYSICISTS 2

Mathematics

Mathematics & Science

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area.The contents are devoted to the application of fractional calculus to physical problems. The fractional concept is applied to subjects in classical mechanics, group theory, quantum mechanics, nuclear physics, hadron spectroscopy and quantum field theory and it will surprise the reader with new intriguing insights.This new, extended edition now also covers additional chapters about image processing, folded potentials in cluster physics, infrared spectroscopy and local aspects of fractional calculus. A new feature is exercises with elaborated solutions, which significantly supports a deeper understanding of general aspects of the theory. As a result, this book should also be useful as a supporting medium for teachers and courses devoted to this subject.

Fractional Calculus: An Introduction For Physicists

Post Secondary Four Year

College Freshman

College Junior

College Sophomore

College Senior

Fractional Calculus

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Dedication.
Preface to the Second Edition.
Preface to the First Edition.
Acknowledgments.
Contents.
List of Exercises.
1: Introduction.
2: Functions.
3: The Fractional Derivative.
4: Friction Forces.
5: Fractional Calculus.
6: The Fractional Harmonic Oscillator.
7: Wave Equations and Parity.
8: Nonlocality and Memory Effects.
9: Fractional Calculus in Multidimensional Space &#x2014; 2D-Image Processing.
10: Fractional Calculus in Multidimensional Space &#x2014; 3D-Folded Potentials in Cluster Physics - A Comparison of Yukawa and Coulomb Potentials with Riesz Fractional Integrals.
11: Quantum Mechanics.
12: The Fractional Schr&#x00F6;dinger Equation with the Infinite Well Potential &#x2014; Numerical Results Using the Riesz Derivative.
13: Uniqueness of a Fractional Derivative &#x2014; the Riesz and Regularized Liouville Derivative as Examples.
14: Fractional Spin &#x2014; A Property of Particles Described with the Fractional Schr&#x00F6;dinger Equation.
15: Factorization.
16: Symmetries.
17: The Fractional Symmetric Rigid Rotor.
18: Q-Deformed Lie Algebras and Fractional Calculus.
19: Infrared Spectroscopy of Diatomic Molecules.
20: Fractional Spectroscopy of Hadrons.
21: Magic Numbers in Atomic Nuclei.
22: Magic Numbers in Metal Clusters.
23: Fractors &#x2014; Fractional Tensor Calculus.
24: Fractional Fields.
25: Gauge Invariance in Fractional Field Theories.
26: On the Origin of Space.
27: Outlook.
Appendix A: Solutions to Exercises.
Bibliography.
Index.

Fractional Calculus: An Introduction For Physicists.css-1p8rvzy{position:absolute;padding-left:8px;}

Fractional Calculus: An Introduction For Physicists