This book introduces the factorization method in quantum mechanics at an advanced level, with the aim of putting mathematical and physical concepts and techniques like the factorization method, Lie algebras, matrix elements and quantum control at the reader's disposal. For this purpose, the text provides a comprehensive description of the factorization method and its wide applications in quantum mechanics which complements the traditional coverage found in quantum mechanics textbooks.
Reviews

From the reviews:

"An up-to-date organized account of material that can be addressed to an interdisciplinary graduate-level audience. ... Besides the elegance and the effectiveness in characterizing matrix-elements, a motivation for the algebraic approach also relies in the pedagogical expectation that beginners can be better driven to topics like coherent states and supersymmetric Quantum Mechanics. ... The book can be generally addressed to graduate students and young researchers in physics, theoretical chemistry, applied mathematics and electrical engineering ... ." (Giulio Landolfi, Zentralblatt MATH, Vol. 1130 (8), 2008)

"The book under review is an interesting and useful collection of results which fall under the headings of 'factorization method', 'Darboux/Crum transformation', 'supersymmetric quantum mechanics', 'intertwining operator method' and 'shape invariance'. ... can be used by researchers in the field and by students of quantum mechanics. ... the overall impression of the book is that it is useful for a broad audience of physicists and mathematical physicists." (Marek Nowakowski, Mathematical Reviews, Issue 2008 k)

Book Information
ISBN 9781402057953
Author Shi-Hai Dong
Format Hardback
Page Count 289
Imprint Springer-Verlag New York Inc.
Publisher Springer-Verlag New York Inc.