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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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