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Bulletin of the MRSU / Section "Physics and mathematics" / 2012 № 2.

 

Latyshev A.V., Yushkanov A.A.

TRANSVERSE ELECTRIC CONDUCTIVITY OF QUANTUM COLLISIONAL PLASMAS WITH CONSTANT COLLISION FREQUENCY IN MERMIN' APPROACH // Bulletin of the Moscow Regional State University (electronic journal) [Bulletin of the Moscow Regional State University (electronic journal)]. 2012. no. 2. pp. 127-150.


UDC Index: 517.958:530.145

Date of publication:

The full text of the article

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Abstract


The article presents the formulae for transverse electric conductivity and dielectric permeability in quantum collisional plasma. The kinetic equation in momentum space in relaxation approaching with constant collision frequency for derivation of these formulae is used. It is shown, that when Planck's constant tends to zero the deduced formula passes in the corresponding formula for classical plasma. It is shown also, that when frequency of collisions of particles of plasma tends to zero (i.e. plasma passes in collisionless plasma), the formula for electric conductivity passes in the well-known Lindhard's formula.

Key words


collisional quantum plasma, density matrix, Schroedinger equation, commutator, dielectric permeability, electric conductivity, Lindhard' function, degenerate plasma

List of references


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