Abstract:
The paper is devoted to the calculation of superfluid current in the $A$-phase of helium-$3$, which is related to the solution of some ordinary non-homogeneous differential equation arising in the low-temperature limit from the Gor'kov equation for normal and anomalous Green functions. The hew solution is obtained in the form of the expansion over the eigenfunctions of electron in homogeneous magnetic field. In the formal hightemperature limit the suggested solution reproduces the known result. Bibliography: 16 titles.