Quantum Trivelpiece-Gould waves in a magnetized dense plasma

Abstract

The dispersion relation for the electrostatic waves below the electron plasma frequency in a dense quantum plasma is derived by using the magnetohydrodynamic model. It is shown that in the classical case the dispersion relation reduces to the expression obtained for the well-known Trivelpiece-Gould (TG) modes. Attention is also devoted to the case of solitary waves associated with the nonlinear TG modes.

8 pages, 0 figures

References in corpus (5)

• Dynamics of spin 1/2 quantum plasmas
• Modified Zakharov equations for plasmas with a quantum correction
• Statistical Effects in the Multistream Model for Quantum Plasmas
• Magnetosonic solitons in a Fermionic quantum plasma
• Nyquist method for Wigner-Poisson quantum plasmas

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• Effects of the electron spin on the nonlinear generation of quasi-static magnetic fields in a plasma