Overview
- A fresh outlook and new ways of handling the important quantum systems in all branches of physics and chemistry
Part of the book series: Fundamental Theories of Physics (FTPH, volume 150)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (21 chapters)
-
INTRODUCTION
-
METHOD
-
APPLICATIONS IN NON-RELATIVISTIC QUANTUM MECHANICS
-
APPLICATIONS IN RELATIVISTIC QUANTUM MECHANICS
Keywords
About this book
This Work introduces the factorization method in quantum mechanics at an advanced level with an aim to put 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 a comprehensive description is provided of the factorization method and its wide applications in quantum mechanics which complements the traditional coverage found in the existing quantum mechanics textbooks. Related to this classic method are the supersymmetric quantum mechanics, shape invariant potentials and group theoretical approaches. It is no exaggeration to say that this method has become the milestone of these approaches. In fact the Author’s driving force has been his desire to provide a comprehensive review volume that includes some new and significant results about the factorization method in quantum mechanics since the literature is inundated with scattered articles in this field, and to pave the Reader’s way into this territory as rapidly as possible. The result: clear and understandable derivations with the necessary mathematical steps included so that the intelligent reader should be able to follow the text with relative ease, in particular when mathematically difficult material is presented.
Audience:
Researchers and students of physics, mathematics, chemistry and electrical engineering.
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)
Authors and Affiliations
Bibliographic Information
Book Title: Factorization Method in Quantum Mechanics
Authors: Shi-Hai Dong
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/978-1-4020-5796-0
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media B.V. 2007
Hardcover ISBN: 978-1-4020-5795-3Published: 09 February 2007
Softcover ISBN: 978-90-481-7447-8Published: 22 November 2010
eBook ISBN: 978-1-4020-5796-0Published: 01 April 2007
Series ISSN: 0168-1222
Series E-ISSN: 2365-6425
Edition Number: 1
Number of Pages: XIX, 289
Topics: Elementary Particles, Quantum Field Theory, Quantum Physics, Mathematical Methods in Physics