Kramers-Kronig Relations and Sum Rules
- 1 October 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (10) , 1454-1461
- https://doi.org/10.1063/1.1665862
Abstract
The concept of moments, which are integrals of positive or negative integral powers ωn weighted by real or imaginary parts of admittance functions, is here generalized so as to be applied to a wide category of admittance functions, including Lorentzian functions. The generalized moments are related to the derivatives or integrals of sum rules in a general sense. This analysis is based on differentiation and integration‐mapping of admittance functions and the associated Kramers‐Kronig relations. Some model calculations are also shown.Keywords
This publication has 7 references indexed in Scilit:
- The fluctuation-dissipation theoremReports on Progress in Physics, 1966
- A Continued-Fraction Representation of the Time-Correlation FunctionsProgress of Theoretical Physics, 1965
- Transport, Collective Motion, and Brownian MotionProgress of Theoretical Physics, 1965
- Hydrodynamic equations and correlation functionsAnnals of Physics, 1963
- Stochastic Liouville EquationsJournal of Mathematical Physics, 1963
- Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction ProblemsJournal of the Physics Society Japan, 1957
- On the Theory of Dispersion of X-RaysJournal of the Optical Society of America, 1926