CONFINED QUANTUM-SYSTEMS IN ONE-DIMENSION AND CONDUCTANCE OSCILLATIONS IN NARROW CHANNELS

An exactly solvable electron model of a confined system with inverse-s quare interaction is presented. The ground state is given by the Jastr ow-product wave function of power-law form. We then apply the results to conductance oscillations in semiconductor nanostructures by general izing the approach of Johnson and Payne to single-electron charging ef fects. Due to the internal spin degrees of freedom, there appear two i ndependent periods of the conductance oscillations in very narrow chan nels even at zero temperature.