Degenerate eigenvalues for Hamiltonians with no obvious symmetries
| dc.creator | Gubser, Steven S. | |
| dc.creator | Bradley, Robert K. | |
| dc.date | 2003-12-19 | |
| dc.date | 2004-10-25 | |
| dc.date.accessioned | 2026-07-07T06:29:06Z | |
| dc.date.available | 2026-07-07T06:29:06Z | |
| dc.description | Certain Hamiltonians based on two coupled quantum mechanical spins exhibit degenerate eigenvalues despite having no obvious non-abelian symmetries. Operators acting to permute the degenerate states do not have a simple form when expressed as polynomials of the generators of rotations for the respective spins. As observed in [1], one such Hamiltonian helps explain resonances in the spin relaxation rate of optically pumped Rb_2, as a function of applied magnetic field. We give an explanation of why the degeneracies exist, based on properties of the commutator and anti-commutator of the Hamiltonian and its image under magnetic field reversal. | |
| dc.description | 5 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/physics/0312118 | |
| dc.identifier | http://arxiv.org/abs/physics/0312118 | |
| dc.identifier | Adv.Theor.Math.Phys. 9 (2005) 593-602 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97917 | |
| dc.subject | Atomic Physics | |
| dc.title | Degenerate eigenvalues for Hamiltonians with no obvious symmetries | |
| dc.type | text |