The derivation of the quantum kinetic equation

1967 ◽  
Vol 10 (5) ◽  
pp. 39-40
Author(s):  
V. L. Kon'kov ◽  
V. N. Gorshenkov ◽  
E. P. Bogdanov
Keyword(s):  
Kinetic Equation ◽  
Quantum Kinetic Equation

scholarly journals Sterile Neutrinos as Dark Matter: Alternative Production Mechanisms in the Early Universe

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 264
Author(s):  
Daniel Boyanovsky
Keyword(s):  
Dark Matter ◽  
Distribution Function ◽  
Kinetic Equation ◽  
Standard Model ◽  
Early Universe ◽  
Quantum Kinetic Equation ◽  
Sterile Neutrinos ◽  
The Standard Model ◽  
Production Mechanisms ◽  
Freeze Out

We study various production mechanisms of sterile neutrinos in the early universe beyond and within the standard model. We obtain the quantum kinetic equations for production and the distribution function of sterile-like neutrinos at freeze-out, from which we obtain free streaming lengths, equations of state and coarse grained phase space densities. In a simple extension beyond the standard model, in which neutrinos are Yukawa coupled to a Higgs-like scalar, we derive and solve the quantum kinetic equation for sterile production and analyze the freeze-out conditions and clustering properties of this dark matter constituent. We argue that in the mass basis, standard model processes that produce active neutrinos also yield sterile-like neutrinos, leading to various possible production channels. Hence, the final distribution function of sterile-like neutrinos is a result of the various kinematically allowed production processes in the early universe. As an explicit example, we consider production of light sterile neutrinos from pion decay after the QCD phase transition, obtaining the quantum kinetic equation and the distribution function at freeze-out. A sterile-like neutrino with a mass in the keV range produced by this process is a suitable warm dark matter candidate with a free-streaming length of the order of few kpc consistent with cores in dwarf galaxies.

scholarly journals A Quantum Kinetic Equation for Particle Production in the Schwinger Mechanism

1998 ◽  
Vol 07 (06) ◽  
pp. 709-722 ◽  
Author(s):  
S. Schmidt ◽  
D. Blaschke ◽  
G. Röpke ◽  
S. A. Smolyansky ◽  
A. V. Prozorkevich ◽  
...  
Keyword(s):  
Kinetic Equation ◽  
Particle Production ◽  
Source Term ◽  
Particle Creation ◽  
Pair Creation ◽  
Density Approximation ◽  
Quantum Kinetic Equation ◽  
Homogeneous Electric Field ◽  
Collisional Damping ◽  
Schwinger Mechanism

A quantum kinetic equation is derived for the description of pair production in a time-dependent homogeneous electric field E(t). As a source term, the Schwinger mechanism for particle creation is incorporated. Possible particle production due to collisions and collisional damping are neglected. The main result is a kinetic equation of non-Markovian character. In the low density approximation, the source term is reduced to the leading part of the well known Schwinger formula for the probability of pair creation. We discuss the momentum and time dependence of the derived source term and compare with other approaches.

A Derivation of Quantum Kinetic Equation from Bohm Potential

2008 ◽  
Vol 37 (5-7) ◽  
pp. 589-600 ◽  
Author(s):  
D. Mostacci ◽  
V. Molinari ◽  
F. Pizzio
Keyword(s):  
Kinetic Equation ◽  
Quantum Kinetic Equation ◽  
Bohm Potential

scholarly journals Second harmonic generation in the Weyl semimetal TaAs from a quantum kinetic equation

2018 ◽  
Vol 97 (8) ◽  
Author(s):  
Zhi Li ◽  
Ya-Qin Jin ◽  
Takami Tohyama ◽  
Toshiaki Iitaka ◽  
Jiu-Xing Zhang ◽  
...  
Keyword(s):  
Kinetic Equation ◽  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Quantum Kinetic Equation ◽  
Weyl Semimetal
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