The self-consistent Bloch-equation in one dimension

DOI10.1016/0898-1221(91)90099-PzbMath0727.35067MaRDI QIDQ803404

Anton Arnold, Norbert J. Mauser, Peter Alexander Markowich

Publication date: 1991

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessBanach's fixed point theoremBloch equationBoltzmann statisticsthermal equilibrium density matrix

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40)

Cites Work

• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices
• The Wigner function for thermal equilibrium

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