scholarly journals Lower Bounds to Energy Eigenvalues for the Stark Effect in a Rigid Rotator

1965 ◽  
Vol 43 (10) ◽  
pp. S189-S193 ◽  
Author(s):  
Jong H. Choi ◽  
Darwin W. Smith
Keyword(s):  
Lower Bounds ◽  
Stark Effect ◽  
Rigid Rotator ◽  
Energy Eigenvalues

Lower Bounds to Energy Eigenvalues

1969 ◽  
Vol 50 (8) ◽  
pp. 3339-3342 ◽  
Author(s):  
Alexander Mazziotti
Keyword(s):  
Lower Bounds ◽  
Energy Eigenvalues

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.

Calculation of Lower Bounds to Energy Eigenvalues of He, Li+ and Li by Means of the Effective Field Method

1991 ◽  
Vol 46 (10) ◽  
pp. 873-875 ◽  
Author(s):  
Jörg Fleischhauer ◽  
Wolfgang Schleker ◽  
Gerhard Raabe
Keyword(s):  
Lower Bounds ◽  
Field Method ◽  
Effective Field ◽  
Small Systems ◽  
Energy Eigenvalues ◽  
Modified Method ◽  
Effective Field Method

AbstractTwo versions of the effective field method have been applied to calculate lower bounds to the energy eigenvalues of the small systems He, Li+, and Li. Although our modified method leads to an improvement compared with the originally proposed scheme, the results are still far from being satisfying.

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