Description
This book is a guide to algebra and calculus for theoretical chemists and physicists working with quantum mechanics. It covers topics such as Lie algebras, harmonic oscillators, bilinear oscillators, perturbation theory, and the Schrdinger equation. The book also includes applications of these concepts to problems in quantum chemistry and physics.
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 Schrdinger 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.