"This monograph deals with ab initio variational calculations of vibrational-rotational spectra of bent triatomic molecu- les. It gives a comprehensive derivation of the Eckart-Wat- son Hamiltonian in terms of a "f" coordinate system. The de- rived Hamiltonian is in the most general formand so is shown to collapse to C2v and D3h rectilinear Hamiltonians. Concommitant with the derived Hamiltonians, a complete solu- tion algorithm of the nuclear Schr|dinger equation is detai- led. The eigenfunctions of numerical finite-element soluti- ons of three one-dimensional Schr|dinger equations are spli- ced together to form configurational trial basis functions for the variational solution of the three-dimensional vibra- tional problem. These solutions, together with the symmetric top eigenfunctions, span the full vibrational-rotational Ha- miltonian. Examples of variational solutions of the full vi- brational-rotational Hamiltonians are given throughout the text. From the contents: Historical Review, Nuclear Motion, Discrete Potential Energy Surfaces, Potential Energy Functions, Finite-element Solution of One-Dimensional Schr|dinger Equations, Nuclear Schr|dinger Formulation for Bent Triatomic Systems, Solution Algorithm and Integral Evaluation, Dipole Moment Surfaces and Radiative Properties, Applications to Bent Triatomic Molecules."
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algorithmes chimie quantique équation de Schrödinger.
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calcul des variations méthode ab initio spectre de rotation-vibration.
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