Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Spectrum Generating Algebra and its role in solvability of Alkali elements

Document Type : Original Article

Author
H. Rahmati
Department of Physics, Qom University of Technology, Qom, Iran
10.30511/ttmp.2023.709670
Abstract
Abstract Hydrogen atom is always helpful in obtaining data
from the other atoms. Revision of the Lie algebraic approach
in studying the radial part of the Hydrogen atom and using
the Tilting transformation are reasonable means to discuss
Alkali elements. The characteristic difference between Alkali
elements and Hydrogen atom is the screening effect in
Alkali elements which causes much more freedom to the
highest electron, valence electron. In this case, these atoms
have another terms besides coulomb potential energy; Sentences
of the order of inverse square of the distance and
above. So, we can consider we have dipole moments, quadrupole
moments and etc. Therefore, these terms , although they
are small, make these elements attractive for applications in
quantum information. Also, we can consider them as Rydberg
atoms with strong long-range interactions. Here, by
considering an inverse square distance potential, Lie algebraic
methods help us to obtain energy levels of both bound
and excited states and corresponding wave functions too.
Keywords
Spectrum Generating Algebra
( ) Lie algebra
Screening effect
Alkali atoms
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Transactions in Theoretical and Mathematical Physics
Volume 1, Issue 1
Winter 2024
Pages 18-21

  • Receive Date 13 March 2022
  • Revise Date 13 December 2023
  • Accept Date 15 December 2023
  • First Publish Date 31 December 2023
  • Publish Date 01 February 2024