FROM BLOCH MODEL TO THE RATE EQUATIONS II: THE CASE OF ALMOST DEGENERATE ENERGY LEVELS

DOI10.1142/S0218202504003829zbMath1069.81081arXivmath/0403298WikidataQ107099889 ScholiaQ107099889MaRDI QIDQ4678333

Eric Dumas, Marguerite Gisclon, Francois Castella, Brigitte Bidégaray-Fesquet

Publication date: 23 May 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403298

zbMATH Keywords

rate equationsaveraging theorylinear Boltzmann equationBloch equationssmall divisor estimatesDensity matrixdegenerate energy levels

Mathematics Subject Classification ID

Quantum optics (81V80) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (5)

Diffusion dynamics of classical systems driven by an oscillatory force ⋮ Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity ⋮ Large time dynamics of a classical system subject to a fast varying force ⋮ HIGH FREQUENCY BEHAVIOR OF THE MAXWELL–BLOCH MODEL WITH RELAXATION: CONVERGENCE TO THE SCHRÖDINGER-RATE SYSTEM ⋮ AN ASYMPTOTIC MODEL FOR THE TRANSPORT OF AN ELECTRON GAS IN A SLAB

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