Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 3 of 3
Full-Text Articles in Physics
High Rydberg States Of An Atom In Parallel Electric And Magnetic Fields, Robert L. Waterland, John B. Delos, M. L. Du
High Rydberg States Of An Atom In Parallel Electric And Magnetic Fields, Robert L. Waterland, John B. Delos, M. L. Du
Arts & Sciences Articles
We have calculated the energy spectrum of a highly excited atom in parallel electric and magnetic fields. The eigenvalues were obtained by semiclassical quantization of action variables calculated from first-order classical perturbation theory. For the field strengths studied, the electron moves on a Kepler ellipse whose orbital parameters evolve slowly in time, and first-order perturbation theory reduces the problem to just one degree of freedom. Action variables were calculated from perturbation theory and the eigenvalues were obtained by semiclassical quantization of the action. The semiclassical analysis leads directly to a correlation diagram which connects the eigenstates of the Stark effect …
Collisions Of F+ With Ne, M. Hottoka, B. Roos, John B. Delos, R. Srivastava, R. B. Sharma, W. Koshi
Collisions Of F+ With Ne, M. Hottoka, B. Roos, John B. Delos, R. Srivastava, R. B. Sharma, W. Koshi
Arts & Sciences Articles
Measurements of inelastic collisions of F+ with Ne have been made. Transitions between 3P and 1D terms of F+ are seen, with the inelastically scattered ions sharply focused in the forward direction. Potential energy curves of (FNe)+ have been calculated. The 3Σ and 3Π curves correlating to F+(3P) are repulsive, while the 1Σ correlating to F+(1D) is attractive. Several curve crossings are identified, where transitions occur through spin-orbit coupling. Scattering angles and differential cross sections have been calculated, and they show the presence of a ‘‘glory’’ (or halo) effect, which accounts for the forward scattering of ions.
Catastrophes And Stable Caustics In Bound States Of Hamiltonian Systems, John B. Delos
Catastrophes And Stable Caustics In Bound States Of Hamiltonian Systems, John B. Delos
Arts & Sciences Articles
Caustics—envelopes of families of classical trajectories, or boundaries between classically allowed and forbidden regions—correspond to singular points of a phase‐space surface called a Lagrangian manifold. According to catastrophe theory, only a limited number of types of caustics are stable under general perturbations of the manifold. Most of the caustics that are found in calculations correspond to members of the canonical list of elementary catastrophes. However, there are some exceptions—examination of trajectories of typical Hamiltonian systems shows that stable structures exist which are not in accord with the stability theorem of catastrophe theory. These exceptional cases are discussed in this paper. …