Abstract
The mobility of impurities in He3 is calculated using Kubo's formula and assuming a quasi-particle-like behaviour of the impurities. This is reasonable in the low temperature limit. If one has to deal with charged particles having a large cross-section for the scattering of He3 quasi-particles on account of their large effective radii, this limit is as low as presumably 0.01 °K. For uncharged particles the validity of the theory is not confined to such a small region of the temperature.
The mobility behaves as 1/T 2 and its dependence upon the frequency is almost that of a classical sphere experiencing a force of friction proportional to its velocity.
The parameters occuring in the formula for the mobility (the effective mass and the scattering cross-section between He3 and the impurities) may in principle be determined by independent experiments.
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I wish to thank Professor W.Brenig for numerous helpful discussions during the course of this work.
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Winter, H. The mobility of dilute solutions of impurities in He3 at low temperatures. Z. Physik 221, 186–210 (1969). https://doi.org/10.1007/BF01392142
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DOI: https://doi.org/10.1007/BF01392142