Recent Developments in Semiclassical Mechanics: Eigenvalues and Reaction Rate Constants
Recent Developments in Semiclassical Mechanics: Eigenvalues and Reaction Rate Constants
A semiclassical treatment of eigenvalues for a multidimensional non-separable potential function and of the rate constant for a chemical reaction with an activation barrier is presented. Both phenomena are seen to be described by essentially the same semiclassical formalism, which is based on a construction of the total Hamiltonian in terms of the complete set of “good” action variables (or adiabatic invariants) associated with the minimum in the potential energy surface for the eigenvalue case, or the saddle point in the potential energy surface for the case of chemical reaction.
- University of California, Berkeley United States
- University of California System United States
- University of North Texas United States
- University of North Texas United States
Organic, Energy, Chemical Reaction Kinetics, Equations, Orbits, 400000 -- Chemistry, Eigenvalues, 640304 -- Atomic, Semiclassical Approximation, Reaction Kinetics 645500* -- High Energy Physics-- Scattering Theory-- (-1987), Hamilton-Jacobi Equations, 72 Physics Of Elementary Particles And Fields, Kinetics, 37 Inorganic, Matrices, Molecular & Chemical Physics-- Collision Phenomena, Differential Equations, Functions, Potential Energy, Physical And Analytical Chemistry, Hamiltonian Function, S Matrix, 74 Atomic And Molecular Physics
Organic, Energy, Chemical Reaction Kinetics, Equations, Orbits, 400000 -- Chemistry, Eigenvalues, 640304 -- Atomic, Semiclassical Approximation, Reaction Kinetics 645500* -- High Energy Physics-- Scattering Theory-- (-1987), Hamilton-Jacobi Equations, 72 Physics Of Elementary Particles And Fields, Kinetics, 37 Inorganic, Matrices, Molecular & Chemical Physics-- Collision Phenomena, Differential Equations, Functions, Potential Energy, Physical And Analytical Chemistry, Hamiltonian Function, S Matrix, 74 Atomic And Molecular Physics
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