Equal-time kinetic equations in a rotational field
- Resource Type
- Authors
- Pengfei Zhuang; Shile Chen; Ziyue Wang
- Source
- Chinese Physics
- Subject
- Physics
Coupling
Nuclear and High Energy Physics
Number density
Field (physics)
FOS: Physical sciences
Astronomy and Astrophysics
Fermion
Classical limit
High Energy Physics - Phenomenology
symbols.namesake
High Energy Physics - Phenomenology (hep-ph)
Classical mechanics
Dirac equation
symbols
Instrumentation
Quantum
Spin-½
- Language
- English
We investigate quantum kinetic theory for a massive fermion system under a rotational field. From the Dirac equation in curved space we derive the complete set of kinetic equations for the spin components of the covariant and equal-time Wigner functions. While the particles are no longer on a mass shell in general case due to the rotation-spin coupling, there are always only two independent components, which can be taken as the number and spin densities. With the help from the off-shell constraint we obtain the closed transport equations for the two independent components in classical limit and at quantum level. The classical rotation-orbital coupling controls the dynamical evolution of the number density, but the quantum rotation-spin coupling explicitly changes the spin density.
12 pages