Bøger af Francisco M. Fernandez

Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, particularly in quantum mechanics and chemistry. However, few books take a practical approach that addresses its actual implementation. Introduction to Perturbation Theory in Quantum Mechanics does. It collects into a single source most of the tech

The book provides a general, broad approach to aspects of perturbation theory. The aim has been to cover all topics of interest, from construction, analysis, and summation of perturbation series to applications. Emphasis is placed on simple methods, as well as clear, intuitive ideas stemming from the physics of systems of interest.

Offers 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.

Perturbation theory is a powerful tool for solving a wide variety of problems in applied mathematics, particularly in quantum mechanics and chemistry. This book collects most of the techniques for applying the theory to the solution of particular problems and reveals the underlying mathematics in seemingly different problems.