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INTRODUCTION TO QUANTUM MECHANICS
Introduction to Quantum Mechanics
in Chemistry, Materials Science, and Biology
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By
Sy Blinder, University of Michigan, Ann Arbor, U.S.A.

Included in series
Complementary Science,

Description
This book provides a lucid, up-to-date introduction to the principles of quantum mechanics at the level of undergraduates and first-year graduate students in chemistry, materials science, biology and related fields. It shows how the fundamental concepts of quantum theory arose from classic experiments in physics and chemistry, and presents the quantum-mechanical foundations of modern techniques including molecular spectroscopy, lasers and NMR. Blinder also discusses recent conceptual developments in quantum theory, including Schr dinger's Cat, the Einstein-Podolsky-Rosen experiment, Bell's theorem and quantum computing.

Audience
Appropriate introduction to Quantum Mechanics for students in Physical Chemistry, Materials Science, Engineering, and biological sciences. Will be of interest to students, faculty, and lay readers who want a concise but correct discussion of the general concepts of QM.

Contents
Preface 1. ATOMS AND PHOTONS 1.1 Atomic and Subatomic Particles 1.2 Electromagnetic Waves 1.3 Three Failures of Classical Physics 1.4 Blackbody Radiation 1.5 The Photoelectric Effect 1.6 Line Spectra 1A. Maxwell's Equations 1B. Planck Radiation Law 2. WAVES AND PARTICLES 2.1 Double-Slit Experiment 2.2 Wave-Particle Duality 2.3 The Schr?odinger Equation2.4 Operators and Eigenvalues 2.5 The Wavefunction Exercises 3 SIMPLE SYSTEMS 3.1 Free Particle 3.2 Particle in a Box 3.3 Free-Electron Model 3.4 Three-Dimensional Box Exercises 4. PRINCIPLES OF QUANTUM MECHANICS 4.1 Hermitian Operators 4.2 Eigenvalues and Eigenfunctions 4.3 Expectation Values 4.4 More on Operators 4.5 Postulates of Quantum Mechanics 4.6 Dirac Notation 4.7 Variational Principle 4.8 Spectroscopic Transitions 4A. Radiative Transitions Exercises 5. HARMONIC OSCILLATOR 5.1 Classical Oscillator 5.2 Quantum Harmonic Oscillator 5.3 Eigenfunctions and Eigenvalues 5.4 Operator Formulation 5.5 Quantum Theory of Radiation 5A. Gaussian Integrals 5B. Hermite Polynomials Exercises 6. ANGULAR MOMENTUM 6.1 Particle in a Ring 6.2 Free Electron Model 6.3 Spherical Polar Coordinates 6.4 Rotation in Three Dimensions 6.5 Theory of Angular Momentum 6.6 Electron Spin 6.7 Addition of Angular Momenta 6A. Curvilinear Coordinates 6B. Spherical Harmonics 6C. Pauli Spin Algebra 7. HYDROGEN ATOM 7.1 Atomic Spectra 7.2 The Bohr Atom 7.3 Hydrogenlike Atoms 7.4 Ground State 7.5 Atomic Orbitals 7.6 p- and d-Orbitals 7.7 Summary on Atomic Orbitals 7.8 Reduced Mass 7A. Laguerre Polynomials Exercises 8. HELIUM ATOM 8.1 Experimental Energies 8.2 Variational Calculations 8.3 Spinorbitals and the Exclusion Principle 8.4 Excited States of Helium Exercises 9. ATOMIC STRUCTURE 9.1 Slater Determinants 9.2 Aufbau Principles 9.3 Atomic Configurations and Term Symbols 9.4 Periodicity of Atomic Properties 9.5 Relativistic Effects 9.6 Spiral Periodic Table 9.7 Self-Consistent Field Exercises 10. THE CHEMICAL BOND 10.1 The Hydrogen Molecule 10.2 Valence Bond Theory 10.3 Molecular Geometry 10.4 Hypervalent Compounds 10.5 Valence-Shell Model 10.6 Transition Metal Complexes 10.7 The Hydrogen Bond 10.8 Critique of Valence-Bond Theory Exercises 11. DIATOMIC MOLECULE ORBITALS 11.1 Hydrogen Molecule-Ion 11.2 LCAO Approximation 11.3 Homonuclear Diatomics 11.4 Variational Computations 11.5 Heteronuclear Molecules 11.6 Electronegativity Exercises 12. POLYATOMIC MOLECULES 12.1 H?uckel MO's 12.2 Woodward-Ho mann 12.3 Metals and Semiconductors 12.4 Computational Chemistry 12.5 Density Functional Theory Exercises 13. MOLECULAR SYMMETRY 13.1 The Ammonia Molecule 13.2 Group Theory 13.3 Quantum Mechanics 13.4 Molecular Orbitals for Ammonia 13.5 Selection Rules 13.6 The Water Molecule 13.7 Walsh Diagrams 13.8 Molecular Symmetry Groups 13.9 Dipole Moments and Optical Activity 13.10 Character tables Exercises 14. MOLECULAR SPECTROSCOPY 14.1 Vibration of Diatomic Molecules 14.2 Vibration of Polyatomic Molecules 14.3 Rotation of Diatomic Molecules 14.4 Rotation-Vibration Spectra 14.5 Molecular Parameters from Spectroscopy 14.6 Rotation of Polyatomic Molecules 14.7 Electronic Excitations 14.8 Lasers 14.9 Raman Spectroscopy Exercises 15. NUCLEAR MAGNETIC RESONANCE 15.1 Magnetic Properties of Nuclei 15.2 Nuclear Magnetic Resonance 15.3 The Chemical Shift 15.4 Spin-Spin Coupling 15.5 Mechanism for Spin-Spin Interactions 15.6 Magnetization and Relaxation Processes 15.7 Pulse Techniques and Fourier Transforms 15.8 Two-Dimensional NMR 15.9 Magnetic Resonance Imaging Exercises 16. WONDERS OF THE QUANTUM WORLD 16.1 The Copenhagen Interpretation 16.2 Superposition 16.3 Schr?odinger's Cat 16.4 Einstein-Podolsky-Rosen Experiment 16.5 Bell's Theorem 16.6 Aspect's Experiment 16.7 Multiple Photon Entanglement 16.8 Quantum Computers Exercises Suggested References Answers to Exercises

Bibliographic details
Paperback, 319 pages, publication date: JUN-2004
ISBN-13: 978-0-12-106051-0
ISBN-10: 0-12-106051-9
Imprint: ACADEMIC PRESS

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EUR 40.95
USD 60.95
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Last update: 20 Feb 2010
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