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29 March 2024
 
  » arxiv » math-ph/0010009

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Semi-classical motion of dressed electrons
Stefan Teufel ; Herbert Spohn ;
Date 5 Oct 2000
Subject Mathematical Physics; Functional Analysis | math-ph math.FA math.MP quant-ph
AbstractWe consider an electron coupled to the quantized radiation field and subject to a slowly varying electrostatic potential. We establish that over sufficiently long times radiation effects are negligible and the dressed electron is governed by an effective one-particle Hamiltonian. In the proof only a few generic properties of the full Pauli-Fierz Hamiltonian H_PF enter. Most importantly, H_PF must have an isolated ground state band for |p| < p_c <= infty with p the total momentum and p_c indicating that the ground state band may terminate. This structure demands a local approximation theorem, in the sense that the one- particle approximation holds until the semi-classical dynamics violates |p|
Source arXiv, math-ph/0010009
Other source [GID 527927] math-ph/0010009
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