ABSTRACT

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 Schrödinger 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.

chapter chapter three|16 pages

The quantum-mechanical harmonic oscillator

chapter chapter six|27 pages

Perturbation theory and variational method

chapter chapter eight|14 pages

Equations of motion in quantum mechanics

chapter chapter nine|29 pages

Bilinear oscillators

chapter chapter ten|23 pages

Parametrization of the time-evolution operator

chapter chapter eleven|21 pages

Semiclassical expansions in statistical mechanics