Edition 
Second edition. 
Physical description 
479 pages ; 24 cm. 
Bibliography 
Includes bibliographical references and index. 
Contents 
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 : 2Dimage processing  Fractional calculus in multidimensional space : 3Dfolded 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  qdeformed 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. 
Summary 
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. 
Subject 
Mathematical physics.


Fractional calculus.

ISBN 
9789814551076 

9814551074 
