scholarly journals Student difficulties with finding the corrections to the energy spectrum of the hydrogen atom for the strong and weak field Zeeman effects using degenerate perturbation theory

2018 ◽  
Author(s):  
Emily Marshman ◽  
Christof Keebaugh ◽  
Chandralekha Singh
Keyword(s):  
Perturbation Theory ◽  
Energy Spectrum ◽  
Hydrogen Atom ◽  
Weak Field ◽  
Student Difficulties ◽  
Degenerate Perturbation Theory

scholarly journals The Stark effect with minimum length

2017 ◽  
Vol 32 (02n03) ◽  
pp. 1750010 ◽  
Author(s):  
H. L. C. Louzada ◽  
H. Belich
Keyword(s):  
Perturbation Theory ◽  
Energy Spectrum ◽  
Hydrogen Atom ◽  
Electric Field ◽  
Stark Effect ◽  
Heisenberg Algebra ◽  
Uniform Electric Field ◽  
Minimum Length

We will study the splitting in the energy spectrum of the hydrogen atom subjected to an uniform electric field (Stark effect) with the Heisenberg algebra deformed leading to the minimum length. We will use the perturbation theory for cases not degenerate (n[Formula: see text]=[Formula: see text]1) and degenerate (n[Formula: see text]=[Formula: see text]2), along with known results of corrections in these levels caused by the minimum length applied purely to the hydrogen atom, so that we may find and estimate the corrections of minimum length applied to the Stark effect.

The application of analytical methods in degenerate perturbation theory

1974 ◽  
Vol 21 (3) ◽  
pp. 1229-1233
Author(s):  
A. G. Makhanek ◽  
V. S. Korol'kov ◽  
A. F. Fedorov
Keyword(s):  
Perturbation Theory ◽  
Analytical Methods ◽  
Degenerate Perturbation Theory
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