ABSTRACT
An electron is located on a segment of length L on which it is free to ‘slide’ but which it cannot leave. It is assumed that the potential is constant and that it abruptly takes on a high value at the extremities. It is also the first picture which one may have of a ‘free’ electron in certain so-called one-dimensional organic crystal conductors. In these crystals, cyclic molecules are stacked on top of each other and each of these ‘piles’ constitutes a molecular line. The agglomeration of these lines forms a crystal in which each line has a length equal to that of the crystal. A first consequence of the Pauli principle is apparent in the determinant: a state constructed with two identical space and spin states cannot exist, since the corresponding Slater determinant, having two identical lines, would be zero.
