Abstract
Sum rules for longitudinal and transverse excitations in normal Fermi liquids are calculated in the low-temperature limit using the Landau theory. The analysis provides a physical interpretation of sum rules in terms of the collective parameters of macroscopic models such as the hydrodynamic and the elastic models. Different mean excitation energies are defined in terms of sum rules and compared with the frequency of the collective motion of the system (zero sound).
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Stringari, S. Sum rules for normal Fermi liquids in the low temperature limit. J Low Temp Phys 57, 307–318 (1984). https://doi.org/10.1007/BF00681195
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DOI: https://doi.org/10.1007/BF00681195