A variational approach to frozen planet orbits in helium
نویسندگان
چکیده
We present variational characterizations of frozen planet orbits for the helium atom in Lagrangian and Hamiltonian picture. They are based on a Levi-Civita regularization with different time reparametrizations two electrons lead to nonlocal functionals. Within this setup, we deform problem one where interact only by their mean values use deduce existence orbits.
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2022
ISSN: ['0294-1449', '1873-1430']
DOI: https://doi.org/10.4171/aihpc/46