Elsevier Science & Technology Books, 2003. — 555 p. ISBN: 0444514910 OCRThe theme of this book is not a reformulation of theoretical physics, but an attempt to identify the theoretical ideas fundamental to chemistry and recast them in more familiar style. There is no doubt but, that the chemist of this century will have to be familiar with the concepts that appear to be new, even alien, at present. The philosophy that inspires this work is that specialization in science is detrimental in the long term. Specialization may well stimulate productivity in the short term, but this productivity becomes sterile in the absence of innovation, that depends on cross-pollenation, or the adoption of new theoretical models. The book contains very little original material, but reviews a fair amount of forgotten results that point to new lines of enquiry. Concepts such as quaternions, Bessel functions, Lie groups, Hamilton-Jacobi theory, solitons, Rydberg atoms, spherical waves and others, not commonly emphasized in chemical discussion, acquire new importance. To prepare the ground, the Vlll book has been designed as a self-contained summary of the essential theoretical background on which to build a modern theory of chemistry.Basic Mathematics Elementary Vector Algebra Determinants and Matrices Vector Fields Differential Equations Group Theory Introduction The Multiplication Table Conjugate Elements and Classes Homomorphism Some examples of symmetry groups Field and Space Representation of Groups Continuous Groups (Lie Groups) Particles and Waves Introduction Review of Classical Dynamics Hamilton's Principle Hamilton-Jacobi Theory Potential Theory Wave Motion Space and Time Introduction The Electromagnetic Field Special Relativity General Relativity Gauge Fields The Arrow of Time Quantum Theory Basic Concepts Wave Mechanics Relativistic Wave Equations Angular Momentum and Spin Quantum Mechanics of the Photon Quantum Chemistry Introduction Quantum Aspects of General Chemistry Molecular Spectroscopy Free-Particle Models Atoms and Molecules Many-particle Systems Approximation Methods Atomic Structure Molecular Systems Macrosystems Introduction Thermodynamics Mechanics of Macrosystems Quantum Statistics Non-equilibrium Statistical Mechanics Chemical Change Introduction Phase Change Disorder The Scaling Hypothesis Renormaliz ation Group Chemical Reaction Conclusion Bibliography Index
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