Jul 17 – 22, 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

Analyzing the hyperfine structure using the quantum orbit eccentricity

Jul 21, 2022, 5:00 PM
1h 30m
Hart House (Hart House)

Hart House

Hart House

7 Hart House Cir, Toronto, ON M5S 3H3
Poster presentation Structure and properties of atoms, ions, and molecules Poster session


The old problem of the discrete spectrum of the hydrogen atom obeys a SO(4) symmetry, which is isomorphous to two subgroups that obey the algebra of angular momentum. The algebraic structure allows us to formulate a basis closely related to the properties of the wave function in parabolic coordinates. On the other hand, the properties of other angular momenta, such as electron spin and nucleus spin, are introduced by adding angular momentum. All these contributions are known as the hyperfine structure. In this work, we explore the symmetries of the problem to analyze the atomic hyperfine structure strictly using the properties of the SO(4) group of the Laplace-Runge-Lenz vector. Additionally, we have done a brief analysis of the symmetry breaking in the presence of electric and magnetic fields.

Presenter name Freddy Jackson Poveda Cuevas
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Primary authors

Alejandra del Rio Lima (IF-UNAM) Ms Ana Karen Cuervo Montiel (nstituto de Física, Universidad Nacional Autónoma de México) Mr Francisco Javier Cárcamo Verde (Instituto de Física, Universidad Nacional Autónoma de México) Freddy Jackson Poveda Cuevas (Cátedras Conacyt - Instituto de Física - Universidad Nacional Autónoma de México)

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