Perturbation of an Eigen-Value from a Dense Point Spectrum : An Example
| dc.creator | Duclos, P. | |
| dc.creator | Stovicek, P. | |
| dc.creator | Vittot, M. | |
| dc.date | 1997-02-26 | |
| dc.date.accessioned | 2026-07-07T10:59:09Z | |
| dc.date.available | 2026-07-07T10:59:09Z | |
| dc.description | We study a perturbed Floquet Hamiltonian $K+βV$ depending on a coupling constant $β$. The spectrum $σ(K)$ is assumed to be pure point and dense. We pick up an eigen-value, namely $0\inσ(K)$, and show the existence of a function $λ(β)$ defined on $I\subset\R$ such that $λ(β) \in σ(K+βV)$ for all $β\in I$, 0 is a point of density for the set $I$, and the Rayleigh-Schrödinger perturbation series represents an asymptotic series for the function $λ(β)$. All ideas are developed and demonstrated when treating an explicit example but some of them are expected to have an essentially wider range of application. | |
| dc.description | Latex, 24 pages, 51 K | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9702052 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9702052 | |
| dc.identifier | J.Phys.A30:7167-7185,1997 | |
| dc.identifier | doi:10.1088/0305-4470/30/20/018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187350 | |
| dc.subject | Quantum Physics | |
| dc.title | Perturbation of an Eigen-Value from a Dense Point Spectrum : An Example | |
| dc.type | text |