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<p>This article presents a derivation of the dispersion equation for electrostatic electron waves in a non zero-temperature quantum plasma. Using a system of quantum hydrodynamic equations, we obtain a general quadratic dispersion equation. We analyze the solutions of this equation, focusing on modifications induced by quantum effects and magnetic fields for both parallel and perpendicular wave propagation modes. Finally, we present numerical calculations on obtained analytical results and compare them for two different plasmas.</p>

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Propagation of Electrostatic Electron Waves in a Quantum Plasma

  • 期刊论文

  • 发表日期：

    2026年1月16日

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  • Ahmad Mehramiz

摘要

This article presents a derivation of the dispersion equation for electrostatic electron waves in a non zero-temperature quantum plasma. Using a system of quantum hydrodynamic equations, we obtain a general quadratic dispersion equation. We analyze the solutions of this equation, focusing on modifications induced by quantum effects and magnetic fields for both parallel and perpendicular wave propagation modes. Finally, we present numerical calculations on obtained analytical results and compare them for two different plasmas.