The Stark problem as a concave toric domain

Author:

Frauenfelder UrsORCID

Abstract

AbstractThe Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains.

Funder

deutsche forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference16 articles.

1. Choi, K., Cristofaro-Gardiner, D., Frenkel, D., Hutchings, M., Ramos, V.: Symplectic embeddings into four-dimensional concave toric domains. J. Topol. 7(4), 1054–1076 (2014)

2. Cristofaro-Gardiner, D.: Symplectic embeddings from concave toric domains into convex ones. J. Differ. Geom. 112(2), 199–232 (2019)

3. Delzant, T.: Hamiltoniens périodiques et images convexes de l’application moment. Bull. Soc. Math. France 116(3), 315–339 (1988)

4. Epstein, P.: Zur Theorie des Starkeffektes. Ann. Phys. 50, 489–520 (1916)

5. Karshon, Y., Lerman, E.: Non-compact symplectic toric manifolds. SIGMA symmetry integrability. Geom. Methods Appl. 11(055), 37 (2015)

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3