Fractional calculus : an introduction for physicists / Richard Herrmann

Includes bibliographical references (p. 439-472) and index.

Intravitreal injections (injections into the eye) are a new form of treatment for various conditions such as age-related macular degeneration, diabetic eye disease and vascular eye problems. The use of these injections has become so widespread that most departments around the world (and particularly in the U.K) do not have enough doctors to meet the service provision demands of an ever increasing number of patients. Many departments have trialed training ophthalmic nurse practitioners as a solution and the number of such specifically trained nurses is set to rise exponentially in the future. This book is meant to be an easy to carry A5 handbook detailing all that an ophthalmic nurse practitioner needs to know about performing the procedure. It is hoped that the book will also be of benefit to trainee ophthalmologists learning the procedure. 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.