@article{Cushman2023, 
author = {Richard Cushman},
title = {Normalization and reduction of the Stark Hamiltonian},
year = {2023},
journal = {Communications in Analysis and Mechanics},
volume = {15},
number = {3},
pages = {457-469},
keywords = {Kustaanheimo-Stiefel normalization, Stark Hamiltonian, reduction of symmetries},
url = {https://www.sciopen.com/article/10.3934/cam.2023022},
doi = {10.3934/cam.2023022},
abstract = {We detail a calculation of the second order normal form of the Stark effect Hamiltonian after regularization, using the Kustaanheimo-Stiefel mapping. After reduction, we obtain an integrable two degree of freedom system on        S    h    2    ×      S    h    2  , which we reduce again to obtain a one degree of freedom Hamiltonian system.}
}