Perturbation methods and effective Hamiltonians in molecular spectroscopy
Abstract
The main methods of degenerate, nondegenerate, and quasi-degenerate perturbation theory used to derive effective Hamiltonians in molecular spectroscopy are examined, including the method of contact transformations, projector methods, and adiabatic formulations. The theory of the separation of quantum-mechanical variables is developed. This theory is then applied to the separation of electronic and vibrational variables in molecules, the solution of the nonstationary Schroedinger equation, the construction of spectrum processing models, and the examination of the convergence and stability of perturbation methods. Twelve mathematical appendices make it possible to use this book as a handbook of quantum mechanics and secondary quantization.
- Publication:
-
Novosibirsk Izdatel Nauka
- Pub Date:
- 1984
- Bibcode:
- 1984NoIzN....Q....M
- Keywords:
-
- Hamiltonian Functions;
- Molecular Spectroscopy;
- Perturbation Theory;
- Adiabatic Conditions;
- Convergence;
- Diatomic Molecules;
- Oscillators;
- Polyatomic Molecules;
- Quantum Mechanics;
- Schroedinger Equation;
- Transformations (Mathematics);
- Atomic and Molecular Physics