A solvable model for excitonic complexes in one dimension

It is known experimentally that stable few-body clusters containing negatively-charged electrons (e) and positively-charged holes (h) can exist in low-dimensional semiconductor nanostructures. In addition to the familiar exciton (e+h), three-body 'charged excitons' (2e+h and 2h+e) have also been observed. Much less is known about the properties of such charged excitons since three-body problems are generally very difficult to solve, even numerically. Here we introduce a simple model, which can be considered as an extended Calogero model, to calculate analytically the energy spectra for both a charged exciton and a neutral exciton in a one-dimensional nanostructure, such as a finite-length quantum wire. Apart from its physical motivation, the model is of mathematical interest in that it can be related to the Heun (or Heine) equation and, as shown explicitly, highly accurate, closed form solutions can be obtained.Comment: 14 pages, 3 figures, To appear in J. Math. Phy

Investigation of solid state traveling-wave- amplifier techniques for future satellite applications Quarterly progress report no. 4, 1 Mar. - 30 Jun. 1965

Solid state traveling wave amplifier techniques for satellite application

Investigation of solid state traveling-wave amplifier techniques for future satellite applications monthly progress report no. 5, 1 - 31 jan. 1965

Solid state traveling wave amplifier techniques for satellite application

High pressure cosmochemistry applied to major planetary interiors: Experimental studies

The infrared spectra of H2O ice VII and D2O ice VII were studied and techniques were developed for measuring adiabats of phases of NH3-H2O to 5 GPa. A mixing system for pressurized fluids was constructed in which liquid solutions of definite compositions can be prepared and loaded reliably into diamond cells in a project which seeks to determine the properties and boundaries of several high pressure phases of the H2-He-H2O-NH3-CH4 system. These data are needed to constrain theoretical models of the interiors of the major planets

Geological utilization of Gemini color photograph of Duba area, Saudi Arabia

Geological fault in Duba area, Saudi Arabia, observed on Gemini 5 color photograp

High pressure cosmochemistry applied to major planetary interiors: Experimental studies

Progress is reported in the development of the P-T-X diagram for 0 less than or = X less than or = 0.50 and in the development of techniques for measuring adiabats of phases of NH3-H2O. The partial phase diagram is presented, investigations of the compositions of ammonia ices are described, and methods for obtaining the infrared spectra of ices are discussed

Orbiting astronomical observatory Final report /including status reports for 1 Dec. 1967 - 30 Jun. 1968 and 1 Jul. 1968 - 31 Mar. 1969/

Research activities of Lunar and Planetary Laborator