Quantum Mechanics. From Basic Principles to Numerical Methods and Applications

This advanced text develops first the underlying concepts of quantum mechanics, thus starting with state spaces of finite dimension followed by the coordinate representation, with their principal formal elements, and their applications such as the harmonic oscillator, magnetic moment, the hydrogen atom, stationary perturbations etc. This fresh and original text on quantum mechanics focuses on : the development of numerical methods for obtaining specific results ; the presentation of group theory and the systematic use of exponential operators ; the introduction of the functional integral and its applications in approximation ; the discussion of distant correlations and the problem of measurement. Numerous exercises with hints and solutions, examples and applications, and a guide to key references help the student to work with the text.