Confinement of hydrogenic impurities within asymmetric and symmetric quantum wires

The energy of the ground and first excited states, the binding energy and o scillator strengths for hydrogenic impurities confined within a cylindrical quantum wire (QW) with a finite-height-potential well are studied variatio nally as a function of the wire radius and of the relative position of the nucleus within the QW for different barrier-height potential. The trial wav e function is constructed as a product of the free wave function of hydroge n impurity and a simple auxiliary function that allows the appropriate boun dary conditions to be satisfied. Comparison with experimental and theoretic al data is discussed.