ÍNDICE: 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: BASISFOR 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 operators. 5.5 Conclusion. CHAPTER 6: COHERENT STATES AND TRANSLATION OPERATORS. 6.1 Coherent-State Properties. 6.2 Poisson Density Operator. 6.3 Average and Fluctuation of Energy. 6.4 Coherent States as Minimizing Heisenberg Uncertainty Relations. 6.5 Dynamics. 6.6 Translation Operators. 6.7 Coherent-StateWavefunctions. 6.8 FranckCondon Factors. 6.9 Driven Harmonic Oscillators. 6.10 Conclusion. CHAPTER 7: BOSON OPERATOR THEOREMS. 7.1 Canonical Transformations. 7.2 Normal and Antinormal Ordering Formalism. 7.3 Time Evolution Operator of Driven Harmonic Oscillators. 7.4 Conclusion. CHAPTER 8: PHASE OPERATORS AND SQUEEZED STATES. 8.1 Phase Operators. 8.2 Squeezed States. 8.3 BogoliubovValatin transformation. 8.4 Conclusion. PART III: ANHARMONICITY. CHAPTER 9: ANHARMONIC OSCILLATORS. 9.1 Model for Diatomic Molecule Potentials. 9.2 Harmonic oscillator perturbed by a Q3 potential. 9.3 Morse Oscillator. 9.4 Quadratic Potentials Perturbed by Cosine Functions. 9.5 Double-well potential and tunneling effect. 9.6 Conclusion. CHAPTER 10: OSCILLATORS INVOLVING ANHARMONIC COUPLINGS. 10.1 Fermi resonances. 10.2 Strong Anharmonic Coupling Theory. 10.3 Strong Anharmonic Coupling within the Adiabatic Approximation. 10.4 Fermi Resonances and Strong Anharmonic Coupling within Adiabatic Approximation. 10.5 Davydov and Strong Anharmonic Couplings. 10.6 Conclusion. PART IV: OSCILLATOR POPULATIONS IN THERMAL EQUILIBRIUM. CHAPTER 11: DYNAMICS OF A LARGE SET OF COUPLED OSCILLATORS. 11.1 Dynamical Equations in the Normal Ordering Formalism. 11.2 Solving the linear set of differential equations (11.27). 11.3 Obtainment of the Dynamics. 11.4 Application to a Linear Chain. 11.5 Conclusion. CHAPTER 12: DENSITY OPERATORS FOREQUILIBRIUM POPULATIONS OF OSCILLATORS. 12.1 Boltzmann's H-Theorem. 12.2 Evolution Toward Equilibrium of a Large Population
- ISBN: 978-0-470-46609-4
- Editorial: John Wiley & Sons
- Encuadernacion: Cartoné
- Páginas: 676
- Fecha Publicación: 06/06/2011
- Nº Volúmenes: 1
- Idioma: Inglés