Ground state degeneracy of the Pauli-Fierz Hamiltonian inlcuding spin
| dc.creator | Hiroshima, F. | |
| dc.creator | Spohn, H. | |
| dc.date | 2002-10-30 | |
| dc.date.accessioned | 2026-07-07T04:29:32Z | |
| dc.date.available | 2026-07-07T04:29:32Z | |
| dc.description | We consider an electron, spin 1/2, minimally coupled to the quantized radiation field in the nonrelativistic approximation, a situation defined by the Pauli-Fierz Hamiltonian $H$. There is no external potential and $H$ fibers as $\int^\oplus H_p dp$ according to the total momentum $p$. We prove that the ground state subspace of $H_p$ is two-fold degenerate provided the charge $e$ and the total momentum $p$ are sufficiently small. We also establish that the total angular momentum of the ground state subspace is $\pm1/2$ and study the case of a confining external potential. | |
| dc.description | See also http://www.intlpress.com/ATMP | |
| dc.identifier | https://arxiv.org/abs/math-ph/0210052 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0210052 | |
| dc.identifier | Adv. Theor. Math. Phys. 5 (2001) 1091-1104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57190 | |
| dc.subject | Mathematical Physics | |
| dc.title | Ground state degeneracy of the Pauli-Fierz Hamiltonian inlcuding spin | |
| dc.type | text |