Wigner-Weyl calculus in description of non-dissipative transport phenomena
M.A. Zubkov
TL;DR
This paper reviews how Wigner-Weyl calculus is used to analyze non-dissipative transport phenomena like quantum Hall and chiral effects, emphasizing interactions, inhomogeneity, and non-equilibrium conditions.
Contribution
It provides a comprehensive review of applying Wigner-Weyl calculus to non-dissipative transport phenomena, highlighting recent developments and challenges.
Findings
Wigner-Weyl calculus effectively describes quantum Hall and chiral effects.
Interactions and inhomogeneity significantly influence non-dissipative transport.
Deviations from equilibrium pose challenges for theoretical modeling.
Abstract
Application of Wigner-Weyl calculus to the investigation of non-dissipative transport phenomena is reviewed. We focus on the quantum Hall effect, Chiral Magnetic effect, and Chiral separation effect, and discuss the role of interactions, inhomogeneity, and deviations from equilibrium.
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Taxonomy
TopicsQuantum and electron transport phenomena · Quantum, superfluid, helium dynamics · Atomic and Subatomic Physics Research