Preface; Acknowledgements; 1. Vectors and functions; 2. Operators and Eigenfunctions; 3. The Schroedinger equation; 4. Solving the Schroedinger equation; 5. Solutions for specific potentials; References; Index.
A clear guide to the key concepts and mathematical techniques underlying the Schroedinger equation, including homework problems and fully worked solutions.
Daniel A. Fleisch is Emeritus Professor of Physics at Wittenberg University, where he specializes in electromagnetics and space physics. He is the author of four other books published by Cambridge University Press: A Student's Guide to Maxwell's Equations (2008); A Student's Guide to Vectors and Tensors (2011); A Student's Guide to the Mathematics of Astronomy (2013) and A Student's Guide to Waves (2015).
'... this slender paperback attempts to explicate the somewhat
difficult concepts involved in understanding the meaning of the
equation. The author intends that the guide serve as an ancillary
resource to any of the many textbooks on quantum mechanics. The
difficulties associated with this subject arise from the demanding
mathematical formalism required and the conceptualization of the
solutions to Schro dinger's equation. The book succeeds in
explicating the arcane forms used for writing and solving Schro
dinger's equation, from operators to matrices to Dirac notations
... All discussions are related to a single dimension of space and
the time-independent equation. Each chapter includes problems and
features many helpful diagrams. Additional features are available
to students on the supporting website, including complete solutions
to problems and simulations. The book can serve, as intended, as an
excellent supplement to a standard text.' N. Sadanand, Choice
'This book opens with the mathematics of quantum mechanics. The sense of familiarity makes it a good companion to lecture notes. More importantly, it meticulously explains everything the readers need to know about the fundamentals there is a good discussion on Fourier analysis ... it is written for advanced undergraduates, readers with half remembered memories of quantum mechanics, who are still curious about the Schroedinger equation, might appreciate this book as well.' B. Ishak, Contemporary Physics