# Algebraic Methods in Quantum Chemistry and Physics

DOI link for Algebraic Methods in Quantum Chemistry and Physics

Algebraic Methods in Quantum Chemistry and Physics book

# Algebraic Methods in Quantum Chemistry and Physics

DOI link for Algebraic Methods in Quantum Chemistry and Physics

Algebraic Methods in Quantum Chemistry and Physics book

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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.

Elementary Introduction to Lie Algebras and Operator Methods. Some Practical Applications of Finite-Dimensional Lie Algebras. The Quantum-Mechanical Harmonic Oscillator. Matrix Elements of Exponential Operators in the Harmonic Oscillator Basis Set. Three-DimensionalLie Algebras and Some of their Realizations in Quantum Mechanics. Perturbation Theory and Variational Method

Numerical Integration of the Time-Independent Schrödinger Equation. Equations of Motion in Quantum Mechanics. Bilinear Oscillators. Parameterization of the Time-Evolution Operator. Semiclassical Expansions in Statistical Mechanics.

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