1998
Quantum Vlasov equation and its Markov limit
Kluger Y, Mottola E, Eisenberg J. Quantum Vlasov equation and its Markov limit. Physical Review D 1998, 58: 125015. DOI: 10.1103/physrevd.58.125015.Peer-Reviewed Original ResearchQuantum Vlasov equationElectric fieldVlasov equationMarkov limitAdiabatic particle numberParticle creation processBoltzmann-Vlasov equationDensity matrix descriptionParticle numberLongitudinal momentum dependenceBack-reaction problemStrong electric fieldParticle distribution functionField theoryEffective source termConstant electric fieldSingle-particle distribution functionMean-field theoryPair creationMomentum dependenceHamiltonian evolutionPhase spaceSource termCreation rateTime structure
1993
PAIR PRODUCTION IN A STRONG ELECTRIC FIELD: AN INITIAL VALUE PROBLEM IN QUANTUM FIELD THEORY
KLUGER Y, EISENBERG J, SVETITSKY B. PAIR PRODUCTION IN A STRONG ELECTRIC FIELD: AN INITIAL VALUE PROBLEM IN QUANTUM FIELD THEORY. International Journal Of Modern Physics E 1993, 2: 333-380. DOI: 10.1142/s0218301393000121.Peer-Reviewed Original ResearchInitial value problemPlasma oscillationsOrdinary differential equationsQuantum field theoryMean-field approximationBoltzmann-Vlasov equationClassical distribution functionTime-dependent electric fieldParticle creation rateDifferential equationsSimple intuitive understandingQuantum backreactionField theoryElectric fieldKlein–GordonValue problemNumerical stabilityAdiabatic regularizationDirac fieldNumber of particlesSource termExpectation valuesCreation rateBackreactionTime evolution
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