A novel examination of the similarity between a perturbed hydrogen atom and an anharmonic oscillator

2019 ◽  
Vol 60 (10) ◽  
pp. 102102 ◽  
Author(s):  
K. V. Kazakov
Keyword(s):  
Hydrogen Atom ◽  
Anharmonic Oscillator ◽  
Perturbed Hydrogen Atom

Variable scaling method and the Stark effect in the hydrogen atom

1985 ◽  
Vol 63 (9) ◽  
pp. 1212-1214
Author(s):  
R. K. Roychoudhury ◽  
Barnana Roy
Keyword(s):  
Hydrogen Atom ◽  
Stark Effect ◽  
Anharmonic Oscillator ◽  
Laguerre Polynomials ◽  
Numerical Results ◽  
Optimal Solutions ◽  
Matrix Elements ◽  
Scaling Method ◽  
Energy Eigenvalues

By relating the Stark-effect problem in hydrogenlike atoms to that of the spherical anharmonic oscillator, we have found simple formulae for energy eigenvalues for the Stark effect. Matrix elements have been calculated using the properties of Laguerre polynomials, and then the variable scaling method has been used to find optimal solutions. Our numerical results are compared with those of Hioe and Yoo and also with the results obtained by Lanczos.

An Application of Nekhoroshev Theory to the Study of the Perturbed Hydrogen Atom

2015 ◽  
Vol 18 (1) ◽  
Author(s):  
Francesco Fassò ◽  
Daniele Fontanari ◽  
Dmitrií A. Sadovskií
Keyword(s):  
Hydrogen Atom ◽  
Nekhoroshev Theory ◽  
Perturbed Hydrogen Atom

The perturbed hydrogen atom: some new algebraic results

1989 ◽  
Vol 22 (7) ◽  
pp. 803-809 ◽  
Author(s):  
S Kais ◽  
M Cohen ◽  
R D Levine
Keyword(s):  
Hydrogen Atom ◽  
Perturbed Hydrogen Atom
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