DOI: https://doi.org/10.30970/jps.03.468
LOW-TEMPERATURE ASYMPTOTIC BEHAVIOUR OF THE IMPURITY EFFECTIVE MASS IN SURERFLUID 4He
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Journal of Physical Studies 3(4), 468–473 (1999)
DOI: https://doi.org/10.30970/jps.03.468 LOW-TEMPERATURE ASYMPTOTIC BEHAVIOUR OF THE IMPURITY EFFECTIVE MASS IN SURERFLUID 4He |
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I. O. Vakarchuk, V. V. Babin
Ivan Franko National University of Lviv
12 Drahomanov Str., Lviv, UA-79005, Ukraine
The effective impurity Hamiltonian is built using the full statistic operator of the ‟superfluid $^4$He + $^3$He–impurity" system which is averaged over liquid $^4$He states. The eigenvalues of this Hamiltonian are treated as the impurity spectrum at $T\neq 0$. The effective mass of the impurity atom is calculated in a ‟one sum over wave vector" approximation. The low–temperature asymptotic behaviour of the effective mass is considered.