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Informationen zum Autor Olivier Henri-Rousseau, Emeritus Professor in Theoretical Chemistry at the University of the Perpignan in France, was the founder of the Laboratory of Mathematics and Physics at the university. After proposing an explanation of the regioselectivity of 1-3 dipolar cycloadditions (simultaneously with Professor Kendall N. Houk), he worked in the area of the quantum theory of hydrogen bonding IR spectroscopy. He has penned eighty-four papers, contributed chapters to eleven books, and recently wrote a book on the epistemology of Darwinism. Paul Blaise, Full Professor in Chemical Physics at the University of Perpignan in France, works with Professor Henri-Rousseau in the areas of chemical physics, quantum chemistry and chemical education. He belongs to the Laboratory of Mathematics and Physics and has published fifty-seven articles and six book chapters. Klappentext An invaluable reference for an overall but simple approach to the complexity of quantum mechanics viewed through quantum oscillators Quantum oscillators play a fundamental role in many areas of physics; for instance, in chemical physics with molecular normal modes, in solid state physics with phonons, and in quantum theory of light with photons. Quantum Oscillators is a timely and visionary book which presents these intricate topics, broadly covering the properties of quantum oscillators which are usually dispersed in the literature at varying levels of detail and often combined with other physical topics. These properties are: time-independent behavior, reversible dynamics, thermal statistical equilibrium and irreversible evolution toward equilibrium, together with anharmonicity and anharmonic couplings. As an application of these intricate topics, special attention is devoted to infrared lineshapes of single and complex (undergoing Fermi resonance or Davydov coupling) damped H-bonded systems, providing key insights into this rapidly evolving area of chemical science. Quantum Oscillators is a long overdue update in the literature surrounding quantum oscillators, and serves as an excellent supplementary text in courses on IR spectroscopy and hydrogen bonding. It is a must-have addition to the library of any graduate or undergraduate student in chemical physics. Zusammenfassung Quantum Oscillators is a valuable source of information and an excellent supplementary text in courses on spectroscopy of hydrogen-bonded systems, one of the unsolved problems of science. Inhaltsverzeichnis List of Figures. Preface. Acknowledgments. PART 1: BASIS REQUIRED FOR QUANTUM OSCILLATOR STUDIES. CHAPTER 1: BASIC CONCEPTS REQUIRED FOR QUANTUM MECHANICS. 1.1 Basic Concepts of Complex Vectorial Spaces. 1.2 Hermitian Conjugation. 1.3 Hermiticity and Unitarity. 1.4 Algebra Operators. CHAPTER 2: BASIS FOR QUANTUM APPROACHES OF OSCILLATORS. 2.1 Oscillator Quantization at the Historical Origin of Quantum Mechanics. 2.2 Quantum Mechanics Postulates and Noncommutativity. 2.3 Heisenberg Uncertainty Relations. 2.4 Schrödinger Picture Dynamics. 2.5 Position or Momentum Translation Operators. 2.6 Conclusion. CHAPTER 3: QUANTUM MECHANICS REPRESENTATIONS. 3.1 Matrix Representation. 3.2 Wave Mechanics. 3.3 Evolution Operators. 3.4 Density operators. 3.5 Conclusion. CHAPTER 4: SIMPLE MODELS USEFUL FOR QUANTUM OSCILLATOR PHYSICS. 4.1 Particle-in-a-Box Model. 4.2 Two-Energy-Level Systems. 4.3 Conclusion. PART II: SINGLE QUANTUM HARMONIC OSCILLATORS. CHAPTER 5: ENERGY REPRESENTATION FOR QUANTUM HARMONIC OSCILLATOR. 5.1 Hamiltonian Eigenkets and Eigenvalues. 5.2 Wavefunctions Corresponding to Hamiltonian Eigenkets. 5.3 Dynamics. 5.4 Boson and fermion ...
