%0 Journal Article %T Coulombically Interacting Electrons in a One-dimensional Quantum Dot %A Wolfgang Haeusler %A Bernhard Kramer %A PTB Braunschweig %J Physics %D 1993 %I arXiv %R 10.1103/PhysRevB.47.16353 %X The spectral properties of up to four interacting electrons confined within a quasi one--dimensional system of finite length are determined by numerical diagonalization including the spin degree of freedom. The ground state energy is investigated as a function of the electron number and of the system length. The limitations of a description in terms of a capacitance are demonstrated. The energetically lowest lying excitations are physically explained as vibrational and tunneling modes. The limits of a dilute, Wigner-type arrangement of the electrons, and a dense, more homogeneous charge distribution are discussed. %U http://arxiv.org/abs/cond-mat/9303043v1