E-Books are also available on all known E-Book shops.
Short description 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. This reference provides a reasonable and accessible entrance to the difficult subject of nonequilibrium quantum mechanics and is a timely update of classical works while, at the same time, providing a comprehensive treatment of hydrogen bonding. Also included is an appendix that summarizes mathematical concepts needed to understand the basis of the theory.
From the contents 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 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 Franck-Condon 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 Bogoliubov-Valatin 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.
