Semi-classical motion of dressed electrons
Teufel, Stefan ; Spohn, Herbert
arXiv, 0010009 / Harvested from arXiv
Text on arXiv
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|
Publié le : 2000-10-05
Classification:  Mathematical Physics,  Mathematics - Functional Analysis,  Quantum Physics 
@article{0010009,
     author = {Teufel, Stefan and Spohn, Herbert},
     title = {Semi-classical motion of dressed electrons},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010009}
}

Teufel, Stefan; Spohn, Herbert. Semi-classical motion of dressed electrons. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010009/