2021/04/12 by Haidar Al-Naseri, Jens Zamanian, Gert Brodin
Physics and Astronomy · #Atomic and Molecular Physics #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Dispersion relation #Heisenberg picture #Mathematical physics #Partial differential equation #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #astro-ph.HE #hep-th #physics.plasm-ph
paper · pdf · doi:10.1103/physreve.104.015207
published as Phys. Rev. E 104, 015207 (2021)
arxiv created 2021/04/12 · openalex publication_date 2021/07/15 · arxiv updated 2021/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive a system of coupled partial differential equations for the equal-time Wigner function in an arbitrary strong electromagnetic field using the Dirac-Heisenberg-Wigner formalism. In the electrostatic limit, we present a system of four coupled partial differential equations, which are completed by Ampères law. This electrostatic system is further studied for two different cases. In the first case, we consider linearized wave propagation in a plasma accounting for the nonzero vacuum expectation values. We then derive the dispersion relation and compare it with well-known limiting cases. In the second case, we consider Schwinger pair production using the local density approximation to allow for analytical treatment. The dependence of the pair production rate on the perpendicular momentum is investigated and it turns out that the spread of the produced pairs along with perpendicular momentum depends on the strength of the applied electric field.