The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 18 3 2019 11 26 Quantum generalization of the Appleton- Hartree formulation Quantum generalization of the Appleton- Hartree formulation 485 489 1379 10.29252/ijpr.18.3.485 FA B Rajabi A Mehramiz Journal Article 2019 11 26 Abstract The purpose of this paper is to present a new generalized form of the Appleton-Hartree formulation. To that end, we use a system of linearized quantum plasma equations to include quantum corrections due to the quantum force produced by the density fluctuations of electrons. Dispersion relations and their modifications resulting form quantum effects are derived for both quasi-parallel and quasi- perpendicular wave modes. In comparison to the previous studies, the results show that quantum effects modify the dispersion of the whistler, helicon, left-handed, ordinary and extraordinary waves. Furthermore, the analysis of results, in particular cases, confirms those of previous studies and, in limiting cases, leads to known relationships in classical plasma physics. Abstract The purpose of this paper is to present a new generalized form of the Appleton-Hartree formulation. To that end, we use a system of linearized quantum plasma equations to include quantum corrections due to the quantum force produced by the density fluctuations of electrons. Dispersion relations and their modifications resulting form quantum effects are derived for both quasi-parallel and quasi- perpendicular wave modes. In comparison to the previous studies, the results show that quantum effects modify the dispersion of the whistler, helicon, left-handed, ordinary and extraordinary waves. Furthermore, the analysis of results, in particular cases, confirms those of previous studies and, in limiting cases, leads to known relationships in classical plasma physics. https://ijpr.iut.ac.ir/article_1379_bad5f33780c42f2588878a9d07405083.pdf