Perturbation of an Eigen-Value from a Dense Point Spectrum : An Example

Details Perturbation of an Eigen-Value from a Dense Point Spectrum : An Example Perturbation of an Eigen-Value from a Dense Point Spectrum : An Example

1997-02-26

arxiv.org/abs/quant-ph/9702052v1

J.Phys.A30:7167-7185,1997

Physics

Quantum Physics

Latex, 24 pages, 51 K

Scientific paper

10.1088/0305-4470/30/20/018

We study a perturbed Floquet Hamiltonian $K+\beta V$ depending on a coupling constant $\beta$. The spectrum $\sigma(K)$ is assumed to be pure point and dense. We pick up an eigen-value, namely $0\in\sigma(K)$, and show the existence of a function $\lambda(\beta)$ defined on $I\subset\R$ such that $\lambda(\beta) \in \sigma(K+\beta V)$ for all $\beta\in I$, 0 is a point of density for the set $I$, and the Rayleigh-Schr\"odinger perturbation series represents an asymptotic series for the function $\lambda(\beta)$. 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.

Affiliated with

Also associated with

No associations

Rating

Perturbation of an Eigen-Value from a Dense Point Spectrum : An Example does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Perturbation of an Eigen-Value from a Dense Point Spectrum : An Example, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbation of an Eigen-Value from a Dense Point Spectrum : An Example will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-117129