On quantum integrability and Hamiltonians with pure point spectrum
| dc.creator | Enciso, A. | |
| dc.creator | Peralta-Salas, D. | |
| dc.date | 2004-06-11 | |
| dc.date | 2004-07-06 | |
| dc.date.accessioned | 2026-07-07T06:31:10Z | |
| dc.date.available | 2026-07-07T06:31:10Z | |
| dc.description | We prove that any $n$-dimensional Hamiltonian operator with pure point spectrum is completely integrable via self-adjoint first integrals. Furthermore, we establish that given any closed set $Σ\subset\mathbb R$ there exists an integrable $n$-dimensional Hamiltonian which realizes it as its spectrum. We develop several applications of these results and discuss their implications in the general framework of quantum integrability. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0406022 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0406022 | |
| dc.identifier | An extended and improved version has been published in Theor. Math. Phys. 148 (2006) 1086 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98530 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Quantum Physics | |
| dc.title | On quantum integrability and Hamiltonians with pure point spectrum | |
| dc.type | text |