The second edition of an established graduate text, this book complements the material for a
typical advanced graduate course in quantum mechanics by showing how the underlying …

It is shown that the standard binning method utilized in the classical study of scattering
processes dealing with more than three atoms, which consists in rounding the product …

The highly excited vibrational states of polyatomic molecules are investigated using
canonical Van Vleck perturbation theory, implemented in a superoperator framework. This …

The method of algebraic quantization, a semiclassical analog of Van Vleck perturbation
theory, is applied to multidimensional resonant, nonresonant, and nearly resonant systems …

By including anharmonicity and Coriolis coupling terms, we have improved our earlier quasi-
classical method for vibrational mode analysis in polyatomic species, which was based on a …

The adiabatic switching method is characterized through a discussion of formal adiabatic
theory and through a variety of numerical examples. Adiabatic invariance theory for one …

The correspondence principle between the quantum commutator [A^, B^] and the classical
Poisson brackets ι ℏ {A, B} is examined in the context of response theory. The classical …

The Fourier transform approach to EBK quantization, previously applied to nonresonant
systems with up to four degrees of freedom [J. Chem. Phys. 8 3, 2990 (1985)], is extended to …

Semiclassical theory finds use in chemical physics both as a computational method and as a
conceptual framework for interpreting quantum features in experiments and in numerical …

Semiclassical quantization of vibrational energies, using adiabatic switching (AS), is applied
to CH4 using a recent ab initio potential energy surface, for which exact quantum …