H\'enon-Heiles Interaction for Hydrogen Atom in Phase Space
J.S. da Cruz Filho, R.G.G. Amorim, S.C. Ulhoa, F.C. Khanna, A. E., Santana, J.D.M. Vianna
TL;DR
This paper explores the hydrogen atom in phase space using symmetry principles and introduces a Hénon-Heiles potential to investigate chaotic dynamics within this quantum framework.
Contribution
It presents a novel analysis of the hydrogen atom in phase space incorporating symmetry and gauge invariance, and extends it by adding a Hénon-Heiles potential to study chaos.
Findings
Symmetry and gauge invariance are effectively used in phase-space Schrödinger equations.
The addition of Hénon-Heiles potential reveals chaotic features in the hydrogen atom.
The approach provides new insights into quantum chaos in atomic systems.
Abstract
Using elements of symmetry, as gauge invariance, several aspects of a Schr\"odinger equation represented in phase-space are introduced and analyzed under physical basis. The Hydrogen atom is explored in the same context. Then we add a H\'enon-Heiles potential to the Hydrogen atom in order to explore chaotic features.
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