In this paper, we study the influence of the second order term of Perturbing Potential on electrical conductivity of metal at low temperature. Now, in our approximation, electron can interact with transuersal phonon as well as longtudinal one, while the usual theory of electrical conductivity consists of electron-longtudinal phonon coupling alone. Thus it is our main aim to study the influence of transuersal phonon on electrical conductivity at low-temperature.
After tedious caluclation, we can show that the contribution of transuersal phonon to electrical conductivity is no more than order of magnitude of 10
-2-10
-1 in percentage.
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