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Full-Text Articles in Physical Sciences and Mathematics
Semiclassical Theory Of Inelastic Collisions Ii. Momentum Space Formulation, John B. Delos, Walter R. Thorson
Semiclassical Theory Of Inelastic Collisions Ii. Momentum Space Formulation, John B. Delos, Walter R. Thorson
Arts & Sciences Articles
The time-dependent equations of the classical picture of inelastic collisions (classical-trajectory equations) are derived using the momentum-space semiclassical approximation. Thereby it is shown that the classical-trajectory equations remain valid in the vicinity of classical turning points provided that (a) the momentum-space semiclassical approximation is valid, (b) the trajectories for elastic scattering in the various internal states differ only slightly, and (c) the slopes of the elastic scattering potentials have the same sign. A brief review of the existing derivations of the classical-trajectory equations is given, and the general conditions for their validity are discussed.
Studies Of The Potential Curve Crossing Problem Ii. General Theory And A Model For Close Crossings, John B. Delos, W. R. Thorson
Studies Of The Potential Curve Crossing Problem Ii. General Theory And A Model For Close Crossings, John B. Delos, W. R. Thorson
Arts & Sciences Articles
A unified formal treatment of the two-state potential-curve-crossing problem in atomic collision theory is presented, and the case of close crossings analyzed in detail. A complete solution for this case, including necessary computations, is given using a suitable generalization of the linear model originally suggested by Landau, Zener, and Stueckelberg. Our solution is based upon a hierarchy of approximations concerned with (i) choice of a discrete basis set for electronic coordinates, (ii) semiclassical treatment of the nuclear motion, (iii) an appropriate model for the two-state electronic Hamiltonian, and (iv) a complete solution to that model.
Semiclassical Theory Of Inelastic Collisions I. Classical Picture And Semiclassical, John B. Delos, W. R. Thorson, Stephen Knudson
Semiclassical Theory Of Inelastic Collisions I. Classical Picture And Semiclassical, John B. Delos, W. R. Thorson, Stephen Knudson
Arts & Sciences Articles
This series of papers is concerned with the derivation of the equations of the classical picture of atomic collisions, iℏddtdi(t)=Σjhij(t)dj(t), which describe the "time" dependence of electronic-quantum-state amplitudes as the nuclei move along a classical trajectory. These equations are derived in two ways. In the first formulation, which coincides with the intuitive classical picture of the collision, the nuclear part of the wave function is treated as a superposition of narrow wave packets, each traveling along a classical trajectory. In the second formulation, a semiclassical approach is used. The validity and meaning of the two formulations are discussed and compared.
Solutions Of The Two-State Potential-Curve-Crossing Problem, John B. Delos, W. R. Thorson
Solutions Of The Two-State Potential-Curve-Crossing Problem, John B. Delos, W. R. Thorson
Arts & Sciences Articles
A general theory of the two-state curve-crossing problem has been developed, with a complete solution of an accurate model for "close" crossings (including numerical computations for strong coupling). Results clarify the position of the Landau-Zener approximation and its improvements by Nikitin and others, provide a general way of extending these approximations into regions often treated incorrectly (including the high-energy limit), and can be readily adapted to simple, rapid calculations.
An Investigation Of One And Two State Molecular Systems Based On The Results Of Elastic Differential Scattering Experiments, Stephen Michael Bobbio
An Investigation Of One And Two State Molecular Systems Based On The Results Of Elastic Differential Scattering Experiments, Stephen Michael Bobbio
Dissertations, Theses, and Masters Projects
No abstract provided.
Gamma Decay Of States Excited By 300 And 600 Mev Protons On Targets Of Boron, Carbon, Nitrogen, Oxygen, Magnesium, And Calcium, Max David Holt
Gamma Decay Of States Excited By 300 And 600 Mev Protons On Targets Of Boron, Carbon, Nitrogen, Oxygen, Magnesium, And Calcium, Max David Holt
Dissertations, Theses, and Masters Projects
No abstract provided.
Low Energy Studies Of The Experimental Elastic Differential Cross-Sections For The Systems Proton-Helium, Proton-Neon And Signly Ionized Helium-Helium, William Guy Rich
Low Energy Studies Of The Experimental Elastic Differential Cross-Sections For The Systems Proton-Helium, Proton-Neon And Signly Ionized Helium-Helium, William Guy Rich
Dissertations, Theses, and Masters Projects
No abstract provided.
Nmr Studies Of Ammonium Dihydrogen Arsenate And High Temperature Transitions In The Potassium Dihydrogen Phosphate Group, John Young Nicholson
Nmr Studies Of Ammonium Dihydrogen Arsenate And High Temperature Transitions In The Potassium Dihydrogen Phosphate Group, John Young Nicholson
Dissertations, Theses, and Masters Projects
No abstract provided.