This book provides an introduction to quantum theory primarily for students of mathematics. Although the approach is mainly traditional the discussion exploits ideas of linear algebra, and points out some of the mathematical subtleties of the theory. Amongst the less traditional topics are Bell's inequalities, coherent and squeezed states, and introductions to group representation theory. Later chapters discuss relativistic wave equations and elementary particle
symmetries from a group theoretical standpoint rather than the customary Lie algebraic approach. This book is intended for the later years of an undergraduate course or for graduates. It assumes a
knowledge of basic linear algebra and elementary group theory, though for convenience these are also summarized in an appendix.
This book provides an introduction to quantum theory primarily for students of mathematics. Although the approach is mainly traditional the discussion exploits ideas of linear algebra, and points out some of the mathematical subtleties of the theory. Amongst the less traditional topics are Bell's inequalities, coherent and squeezed states, and introductions to group representation theory. Later chapters discuss relativistic wave equations and elementary particle
symmetries from a group theoretical standpoint rather than the customary Lie algebraic approach. This book is intended for the later years of an undergraduate course or for graduates. It assumes a
knowledge of basic linear algebra and elementary group theory, though for convenience these are also summarized in an appendix.
Preface
Introduction
Wave mechanics
Quadratic and linear potentials
The hydrogen atom
Scattering and tunnelling
The mathematical structure of quantum theory
The commutation relations
Angular momentum
Symmetry in quantum theory
Measurements and paradoxes
Alternative formulations of quantum theory
Stationary perturbation theory
Iterative perturbation theory
Variational methods
The semi-classical approximation
Systems of several particles
Relativistic wave equation
Dirac particles in electromagnetic fields
Symmetries of elementary particles
A review of linear algebra and groups
Open systems
`Students who master the contents of this book as undergraduates
would have considerable advantages over many of their
contemporaries.'
New Scientist, 11 October 1997
`This book is very well written and the presentation is lucid. It
can be recommended to its intended readership'
Aslib Book Guide
`Although the author claims that his treatment is less than
rigorous, it is considerably more advanced than that taught to many
undergraduates...........Students who master the contents of this
book as undergraduates would have considerable advantages over many
of their contemporaries if they moved on to research in theoretical
or mathematical physics'
Nature
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