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On the two methods of calculation of the superfluid current in the A-phase of helium-3

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Abstract

This paper is devoted to the calculation of superfluid current in the A-phase of helium-3. This calculation is connected with the solution of a nonhomogeneous ordinary differential equation arising in the low-temperature limit from the Gor'kov equation for normal and anomalous Green functions. The new solution is obtained in the form of the expansion in the eigenfunctions of the problem of an electron in a uniform magnetic field. In the formal high-temperature limit the result obtained in the paper reproduces the known result. Bibliography: 18 titles.

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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 209, 1994, pp. 179–193.

Translated by K. Malyshev.

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Malyshev, K. On the two methods of calculation of the superfluid current in the A-phase of helium-3. J Math Sci 83, 113–122 (1997). https://doi.org/10.1007/BF02398466

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  • DOI: https://doi.org/10.1007/BF02398466

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