The effect of magnetic field on the band structure of polymers Part 1. Static magnetic field

The Hartree-Fock equations for a periodic polymer chain in the presence of a static magnetic field are formulated. The cases of homogeneous and inhomogeneous static field are treated separately. In the case where the magnetic field strength is dependent on the coordinate z (the direction of the main axis of the polymer), the periodic symmetry of the polymer breaks down. For the case of weak z dependence of the magnetic field the chain can be divided into segments, each one characterized by an averge field, and the interface of these segments can be treated with the help of two Dyson equations (one for each segment at the interface).