Year: 2025
Type: article
Abstract: The 4-body equations of motion are derived in our previously published paper. Here we prove the existence and uniqueness of a periodic solution by applying the fixed point method for a suitable introduced operator. A natural example of such a problem is the Lithium atom, which has three electrons orbiting the nucleus. The inequalities that ensure the existence of a periodic solution allow us to estimate the minimal distances between the electrons on the first and second Bohr-Sommerfeld stationary states.
Source: AppliedMath
Author: Vasil Angelov
Institution: University of Mining and Geology "Saint Ivan Rilski"
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,207
OpenAlex ID: W4413780463