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A Quantum Kinetic Equation for Particle Production in the Schwinger Mechanism
Open accessAbstract
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.
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Citations
Cited by
Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
Roberts, C. (2000) · Progress in Particle and Nuclear Physics · doi:10.1016/s0146-6410(00)00106-x · Cited by 632
Particle Self-Bunching in the Schwinger Effect in Spacetime-Dependent Electric Fields
Hebenstreit, F., Alkofer, R., & Gies, H. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.180403 · Cited by 136
Plasma dynamics and vacuum pair creation using the Dirac-Heisenberg-Wigner formalism
Al-Naseri, H., Zamanian, J., & Brodin, G. (2021) · Physical Review E · doi:10.1103/physreve.104.015207 · Cited by 18
Metadata
- Authors
- Schmidt, S., Blaschke, D., Röpke, G., Smolyansky, S. A., Prozorkevich, A. V., & Toneev, V. D.
- Venue
- International Journal of Modern Physics E
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1998-12
- Volume
- 07
- Issue
- 06
- Pages
- 709-722
- ISSN
- 0218-3013 (ISSN-L)
- 1793-6608
- OpenAlex
- W2144074844
- Cited by
- 205
- References
- 0
- FWCI
- 2.70
- Type
- journal article
- Language
- en
- Open access
- green
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- CoChat. (2026). Citation check: A Quantum Kinetic Equation for Particle Production in the Schwinger Mechanism. https://app.cochat.ai/papers/10.1142/s0218301398000403
- The paper
- Schmidt, S., Blaschke, D., Röpke, G., Smolyansky, S. A., Prozorkevich, A. V., & Toneev, V. D. (1998). A Quantum Kinetic Equation for Particle Production in the Schwinger Mechanism. International Journal of Modern Physics E. https://doi.org/10.1142/s0218301398000403
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