ABSTRACT

Microcomputer Quantum Mechanics combines the teaching of computing skills with depth of mathematical understanding. This practical text demonstrates how computation can be integrated with theoretical analysis as part of a unified attack on problems in one of the most interesting areas of modern physics. The author discusses the mathematical principles behind the programs and actually creates new methods to facilitate the application of microcomputers in quantum mechanics.Microcomputer Quantum Mechanics combines the teaching of computing skills with depth of mathematical understanding. This practical text demonstrates how computation can be integrated with theoretical analysis as part of a unified attack on problems in one of the most interesting areas of modern physics. The author discusses the mathematical principles behind the programs and actually creates new methods to facilitate the application of microcomputers in quantum mechanics.

chapter 1|17 pages

Microcomputers and BASIC

chapter 2|14 pages

Tuning the instrument

chapter 3|20 pages

The iterative approach

chapter 4|7 pages

Some finite-difference methods

chapter 5|21 pages

Numerical integration

chapter 6|16 pages

Padé approximants and all that

chapter 7|10 pages

A simple power series method

chapter 8|8 pages

Some matrix calculations

chapter 9|13 pages

Hypervirial-perturbation methods

chapter 10|13 pages

Finite-difference eigenvalue calculations

chapter 11|6 pages

One-dimensional model problems

chapter 12|18 pages

Some case studies

chapter 13|9 pages

Some recent developments