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William & Mary

Arts & Sciences Articles

1984

Articles 1 - 5 of 5

Full-Text Articles in Physical Sciences and Mathematics

Trajectories Of An Atomic Electron In A Magnetic Field, John B. Delos, Stephen Knudson, D. W. Noid Sep 1984

Trajectories Of An Atomic Electron In A Magnetic Field, John B. Delos, Stephen Knudson, D. W. Noid

Arts & Sciences Articles

Classical trajectories of an atomic electron in a magnetic field are calculated for various values of the field strength B. Qualitative properties of these trajectories are examined. With use of a scaling law, it is shown that the equations of motion can be written in a form such that they depend upon only one parameter, which may be regarded as a reduced angular momentum (proportional to LzB13). For small values of this parameter there is an "elliptical regime" in which the trajectory may be regarded as a Kepler ellipse with orbital parameters that evolve slowly in time. For large values …


Construction Of A Multidimensional Potential Energy Surface From An Energy Spectrum, Robert Leonard Waterland, John B. Delos Mar 1984

Construction Of A Multidimensional Potential Energy Surface From An Energy Spectrum, Robert Leonard Waterland, John B. Delos

Arts & Sciences Articles

A method for the systematic construction of a multidimensional potential energy surface from an energy spectrum is presented. We show that if the Hamiltonian and the energy spectrum satisfy certain conditions then there is an inversion technique which gives a potential energy function from the spectrum. The method proceeds via a sequence of canonical transformations and leads to a potential energy which is symmetric in all its variables. We test the procedure for one‐ and two‐dimensional examples and show that it gives reasonable results. However, the method does not give a unique result and we discuss two types of nonuniqueness …


Electron Detachment In Negative-Ion Collisions. I. Time-Dependent Theory And Models For A Propagator, T. S. Wang, John B. Delos Feb 1984

Electron Detachment In Negative-Ion Collisions. I. Time-Dependent Theory And Models For A Propagator, T. S. Wang, John B. Delos

Arts & Sciences Articles

A theory of electron detachment in slow collisions of negative ions with atoms is developed. The theory is based on assumptions that are similar to, but more general than, the assumptions made in earlier papers: The motion of the nuclei is described semiclassically, the electronic wave function is expanded in a partially diabatic basis that includes a discrete state and a continuum, and certain couplings are assumed to be small. With such assumptions the Schrödinger equation is reduced to a nondenumerably infinite set of coupled differential equations, and then to a single integro-differential equation (an equation with "memory"). It is …


Electron Detachment In Negative-Ion Collisions. Ii. The Dynamical Complex Potential, T. S. Wang, John B. Delos Feb 1984

Electron Detachment In Negative-Ion Collisions. Ii. The Dynamical Complex Potential, T. S. Wang, John B. Delos

Arts & Sciences Articles

No abstract provided.


Atlas Of High Resolution Infrared Spectra Of Carbon Dioxide: February 1984 Edition, D. Chris Benner Jan 1984

Atlas Of High Resolution Infrared Spectra Of Carbon Dioxide: February 1984 Edition, D. Chris Benner

Arts & Sciences Articles

Long-path, low-pressure laboratory absorption spectra of carbon dioxide i are presented in an atlas format for the spectral regions 1830 to 2100 cm" , 2395 to 2680 cm-I i , and 3140 to 3235 cm- . The data were recorded at 0.01 cm"I resolution and room temperature with the Fourier transform spectrometer in the McMath solar telescope complex of the National Solar Observatory at Kitt Peak. A list of positions and assignments is given for the 3336 lines observed. A total of 52 bands of 12C1602, 13C1602, 12C160180, 12C160170, and 13C160180 have been identified.