![]() HEISENBERG'S QUANTUM MECHANICS
by Mohsen Razavy (University of Alberta, Canada)
680pp
978-981-4304-11-5(pbk): US$61 / £42 US$42.70
/ £29.40
978-981-4304-10-8: US$120 / £74 US$84 /
£51.80
978-981-4304-12-2(ebook): US$156 US$109.20
Table
of Contents (65k)
Preface
(80k)
Chapter
1: A Brief Survey of Analytical Dynamics (312k)
Chapter
2: Discovery of Matrix Mechanics (149k)
This book provides a detailed account of quantum theory with
a much greater emphasis on the Heisenberg equations of motion and the
matrix method. No other texts have come close to discuss quantum theory
in terms of depth of coverage.
The book features a deeper treatment of the fundamental
concepts such as the rules of constructing quantum mechanical operators
and the classical-quantal correspondence; the exact and approximate
methods based on the Heisenberg equations; the determinantal approach
to the scattering theory and the LSZ reduction formalism where the
latter method is used to obtain the transition matrix. The uncertainty
relations for a number of different observables are derived and
discussed. A comprehensive chapter on the quantization of systems with
nonlocalized interaction is included. Exact solvable models, and
approximate techniques for solution of realistic many-body problems are
also considered. The book takes a unified look in the final chapter,
examining the question of measurement in quantum theory, with an
introduction to the Bell's inequalities.
Contents:
- A Brief Survey of Analytical Dynamics
- Discovery of Matrix Mechanics
- Mathematical Preliminaries
- Postulates of Quantum Theory
- Equations of Motion, Hamiltonian Operator and
the Commutation Relations
- Symmetries and Conservation Laws
- Bound State Energies for One-Dimensional
Problems
- Exactly Solvable Potentials, Supersymmetry and
Shape Invariance
- The Two-Body Problem
- Methods of Integration of Heisenberg's
Equations of Motion
- Perturbation Theory
- Other Methods of Approximation
- Quantization of the Classical Equations of
Motion with Higher Derivatives
- Potential Scattering
- Quantum Diffraction
- Motion of a Charged Particle in Electromagnetic
Field and Topological Quantum Effects for Neutral Particles
- Quantum Many-Body Problem
- Quantum Theory of Free Electromagnetic Field
- Interaction of Radiation with Matter
- Bell's Inequality
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