High‐Order Approximation to Two‐Level Systems with Quasiresonant Control

Lin Wang and Jian Zu

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: In this paper, we focus on high‐order approximate solutions to two‐level systems with quasi‐resonant control. Firstly, we develop a high‐order renormalization group (RG) method for Schrödinger equations. By this method, we get the high‐order RG approximate solution in both resonance case and out of resonance case directly. Secondly, we introduce a time transformation to avoid the invalid expansion and get the high‐order RG approximate solution in near resonance case. Finally, some numerical simulations are presented to illustrate the effectiveness of our RG method. We aim to provide a mathematically rigorous framework for mathematicians and physicists to analyze the high‐order approximate solutions of quasi‐resonant control problems.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2020/2549307

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:2549307

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().