An Introduction to Quantum Theory (Oxford Graduate Texts in Mathematics No.1)
By: Keith Hannabuss (author)Hardback
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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
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- ID: 9780198537946
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