Abstract
For various materials, including liquids and disordered systems, the dielectric function in the microwave region is represented by the Debye equation. Recently, with the use of the second-moment representation for the solenoidal and irrotational losses, the generalized form of the Lyddane-Sachs-Teller (LST) relation was derived based on causality and the f-sum rule [T. W. Noh and A. J. Sievers, Phys. Rev. Lett. 63, 1800 (1989)]. However, the second-moment representation cannot be applied to the Debye equation, which does not obey the f-sum rule. A moment representation is applied to the Debye equation, and a relation equivalent to the generalized LST relation is found. In this relation, the pth moments (-1p1) should be used instead of the second moments.
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