Key Features
- Offers a novel approach in its application to physical phenomena
- Concise and clear discussions of quantum-mechanical theories and spectrum analysis
- Provides both theories and applications
Description
Presented in a clear and straightforward analysis, this book explores quantum mechanics and the application of quantum mechanics to interpret spectral phenomena. Specifically, the book discusses the relation between spectral features in mid or rear infrared regions, or in Raman scattering spectrum, and interactions between molecules or molecular species such as molecular ions, and their respective motions in gaseous or crystalline conditions. Beginning with an overview of conventional methods and problems which arise in molecular spectroscopy, the second half of the book suggests original techniques to investigate the area. The treatment is based on rigorous quantum-mechanical theories and procedures that are readily implemented in either manual methods or with symbolic computational software.
Quantum Theory of Anharmonic Effects in Molecules, 1st Edition
Chapter 1 - The Laws of Quantum Mechanics
1. Introduction
- Observables and variables
- The conditions of quantum theory
- Angular momentum
2. The principal equations
3. Spin and magnetic moment
- Phenomenological description
4. Semiclassical theory of radiation
- Fermi’s golden rule
- Intensities of transitions
5. Second quantization
- An harmonic oscillator
- The fields of bosons and fermions
6. Molecules
- Born-Oppenheimer approximation
- Chemical bond
7. Questions of symmetry
- Point groups
- Classification of states according to symmetry
Chapter 2 - The Evolution of Perturbation Theory
1. Preamble
- Frequencies and intensities
2. Perturbation algebra
- Expansions of two types
- Many-time formalism
3. Methods of quantum-field theory
- Diagrams and computational rules
4. Other trends and methods
- Alternative perturbation theory
- Canonical transformation
- Hypervirial result
Chapter 3 - Polynomials of Quantum Numbers
1. The principles of the theory
- Recurrence equations
- Many-dimensional case
- The problem of degenerate states
- Introduction to a theory of anharmonicity
2. Advantages of the new technique
- Polynomials and computational rules
3. Electro-optics of molecules
- Phenomenon of strong anharmonicity
- The direct and inverse problems of spectroscopy
4. Extraneous quantum numbers
- Factorization of the matrix elements
- The first coefficients
- Calculation of higher-order approximations
5. Future developments
- Functions of quantum numbers
6. Background
Chapter 4 - Effects of Anharmonicity
1. Extension to magnetic phenomena
- Magneto-optical anharmonicity
2. Electron in a magnetic field
3. The resonance interaction
- Dimers in low-temperature liquids
4. Diatomic dimers
- On the theory of overtones
- XH-XH pairs
Chapter 5: The Method of Factorization
1. Algebraic formalism
Atom of hydrogen type
2. Some problems involving anharmonicity
Poschl - Teller potential
Poschl - Teller-like potential
Morse's oscillator
Generalized Morse's oscillator
REFERENCES
