Magnetic response of a quantum wire of elliptical cross-section in a magnetic field perpendicular to the axis of the wire

The magnetic response of a quantum wire of elliptical cross section is investigated. An explicit analytic expression is found for the spectrum and wave functions of an electron in the wire. Using an approach based on finding the classical partition function, an expression is obtained for the magnetic response of the electron gas in the wire. The dependence of the response on the magnitude and direction of the magnetic field is found.