scholarly journals Nonadiabatic quantum Vlasov equation for Schwinger pair production

2011 ◽  
Vol 84 (12) ◽  
Author(s):  
Sang Pyo Kim ◽  
Christian Schubert
Keyword(s):  
Pair Production ◽  
Vlasov Equation ◽  
Quantum Vlasov Equation

scholarly journals Derivation of the Quantum Vlasov Equation and Dispersion Relation of a Relativistic Electron Gas

1967 ◽  
Vol 22 (6) ◽  
pp. 869-872 ◽  
Author(s):  
D. BlSkamp
Keyword(s):  
Dispersion Relation ◽  
Relativistic Electron ◽  
Vlasov Equation ◽  
Thermal Equilibrium ◽  
Electron Gas ◽  
Quasi Equilibrium ◽  
Electron Positron ◽  
The One ◽  
Special Case ◽  
Quantum Vlasov Equation

The selfconsistent field equation (VLASOV equation) is derived for the one-particle WIGNER function of a relativistic electron-positron gas. From the linearized form we obtain the dispersion relation for any quasi-equilibrium state, which for the special case of thermal equilibrium has already been derived by TSYTOVICH 1.

scholarly journals Quantum Vlasov equation and its Markov limit

1998 ◽  
Vol 58 (12) ◽  
Author(s):  
Yuval Kluger ◽  
Emil Mottola ◽  
Judah M. Eisenberg
Keyword(s):  
Vlasov Equation ◽  
Quantum Vlasov Equation ◽  
Markov Limit

Pair Production in a Field of Heavy Nuclei and in a Gravitational Field

1971 ◽  
Vol 105 (12) ◽  
pp. 780-781 ◽  
Author(s):  
Ya.B. Zel'dovich ◽  
Lev P. Pitaevskii ◽  
Valentin S. Popov ◽  
Aleksei A. Starobinskii
Keyword(s):  
Gravitational Field ◽  
Pair Production ◽  
Heavy Nuclei
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