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Full-Text Articles in Physics
Closed-Orbit Theory Of Oscillations In Atomic Photoabsorption Cross Sections In A Strong Electric Field. Ii. Derivation Of Formulas, J. Gao, John B. Delos
Closed-Orbit Theory Of Oscillations In Atomic Photoabsorption Cross Sections In A Strong Electric Field. Ii. Derivation Of Formulas, J. Gao, John B. Delos
Arts & Sciences Articles
A formula for photoabsorption cross sections of hydrogen and alkali-metal atoms in a static electric field is derived, based on the closed-orbit theory previously used to study hydrogen in a magnetic field. Electric fields are simpler than magnetic fields, because the classical motion is regular and closed orbits can be enumerated. In alkali metals the core modifies the relevant dipole matrix elements, and it produces additional phase shifts.
Closed-Orbit Theory Of Oscillations In Atomic Photoabsorption Cross Sections In A Strongelectric Field. I. Comparison Between Theory And Experiments On Hydrogen And Sodium Above Threshold, J. Gao, John B. Delos, M. Baruch
Closed-Orbit Theory Of Oscillations In Atomic Photoabsorption Cross Sections In A Strongelectric Field. I. Comparison Between Theory And Experiments On Hydrogen And Sodium Above Threshold, J. Gao, John B. Delos, M. Baruch
Arts & Sciences Articles
Using a simple analytic formula from closed-orbit theory, we calculate photoabsorption cross sections of hydrogen and sodium in a strong electric field. The theoretical spectra show good agreement with experimental results. A scaled variable measurement is also suggested.
Hamiltonian Bifurcation Theory Of Closed Orbits In The Diamagnetic Kepler Problem, J. M. Mao, John B. Delos
Hamiltonian Bifurcation Theory Of Closed Orbits In The Diamagnetic Kepler Problem, J. M. Mao, John B. Delos
Arts & Sciences Articles
Classically chaotic systems possess a proliferation of periodic orbits. This phenomenon was observed in a quantum system through measurements of the absorption spectrum of a hydrogen atom in a magnetic field. This paper gives a theoretical interpretation of the bifurcations of periodic or closed orbits of electrons in atoms in magnetic fields. We ask how new periodic orbits can be created out of existing ones or ‘‘out of nowhere’’ as the energy changes. Hamiltonian bifurcation theory provides the answer: it asserts the existence of just five typical types of bifurcation in conservative systems with two degrees of freedom. We show …