Perturbation Theory in Quantum Mechanics. Perturbation Theory in The Coordinate Representation. Perturbation Theories without Wavefunction. Simple Atomic and Molecular Systems. Bounded Domains. Convergence of the Perturbation Series. Polynomial Approximations. Scattering States. Classical Mechanics. Maple Programs. Appendices.
Francisco M. Fernandez
"Professor Fernandez [has been] active in the field of quantum
mechanical perturbation theory for many years. … [T]he book has
been prepared and written with-and to-the author's undisguised
delight, offering a specific blend of the theory and computations.
… The book informs the reader, in an admirably compact and still
unbelievably digestible text, about virtually all the basic
concepts … ."
- Zentralblatt MATH, Vol. 1048
"… summarizes in detail a wide variety of techniques used in
perturbation theory that were developed for particular problems. To
make the methods easily comparable, they are applied to the same
models. Some of these models have exact solutions, so that
improvement in the perturbation series and their limitations become
clear…author intentionally avoids problems that require numerical
computation and tries to keep the mathematics as simple as possible
in order to concentrate the reader's attention on the ideas
underlying each method…offers an invaluable source of ideas for
theoreticians applying perturbation methods to various problems in
chemistry and physics…it can also be used for teaching
undergraduate and graduate courses…"
-Journal of the American Chemical Society, Vol. 123, No. 26
"…a very substantial presentation of perturbation theory in quantum
mechanics, much of which is based on the publication of the author
and his coworkers…the book is clearly an important reference work
in the field, and the author has completed a laudable task."
-Mathematical Reviews, Issue 2002
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