Algebraic Methods In Quantum Chemistry And Physics (mathematical Chemistry)

Nowadays many good books and reviews are available on the application of Lie groups and Lie algebras to various problems in physics. What are the reasons then for writing a new book on that subject? The only reasons the authors can think of are to show applications not covered by other books and to develop a new approach to the subject, both of which they try here.

Algebraic Methods in Quantum Chemistry and Physics provides straightforward presentations of selected topics in theoretical chemistry and physics, including Lie algebras and their applications, harmonic oscillators, bilinear oscillators, perturbation theory, numerical solutions of the Schrodinger equation, and parameterizations of the time-evolution operator. The mathematical tools described in this book are presented in a manner that clearly illustrates their application to problems arising in theoretical chemistry and physics. The application techniques are carefully explained with step-by-step instructions that are easy to follow, and the results are organized to facilitate both manual and numerical calculations. Algebraic Methods in Quantum Chemistry and Physics demonstrates how to obtain useful analytical results with elementary algebra and calculus and an understanding of basic quantum chemistry and physics.