Application of variation-perturbation theory for polarizability evaluation of linear polyatomic molecules

1974 ◽  
Vol 8 (3) ◽  
pp. 303-305
Author(s):  
N. P. Borisova ◽  
O. Casta�o
Keyword(s):  
Perturbation Theory ◽  
Polyatomic Molecules

An improved perturbation theory and its application to the spectral theory of polyatomic molecules

1989 ◽  
Vol 188 (1-2) ◽  
pp. 175-191 ◽  
Author(s):  
L.A. Gribov ◽  
B.K. Novosadov ◽  
O.Yu. Nikitin ◽  
L.I. Raitblat
Keyword(s):  
Perturbation Theory ◽  
Spectral Theory ◽  
Polyatomic Molecules

scholarly journals On the method of eigenvalues determination of the “truncated” matrix with morse hamiltonian as an example

2020 ◽  
pp. 172-177
Author(s):  
E.S. Bekhtereva ◽  
◽  
O.V. Gromova ◽  
P.A. Glushkov ◽  
A.S. Belova ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Potential Function ◽  
Prediction Accuracy ◽  
Polyatomic Molecules ◽  
High Order ◽  
Potential Functions ◽  
Numerical Calculations ◽  
Order Perturbation ◽  
Morse Oscillator

A method of precise eigenvalues determination is developed on the basis of high order perturbation theory and applied to di-atomic molecule, as an example. The proposed method makes it possible not only to obtain energy values, but also to estimate a prediction accuracy and limits of its applicability for a specific implemented model. Numerical calculations are performed with the use of the extended Morse oscillator functions. The sixth power of the Morse coordinate is included into the potential function expansion. Analysis of possibility to make calculation in the model of the "truncated" matrix of the Hamiltonian is performed. The comparative possibilities of the method are analyzed with respect to other approaches of the potential functions determination for polyatomic molecules.

A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch
Keyword(s):  
Perturbation Theory ◽  
Small Parameter ◽  
Classification Scheme ◽  
Sum Rules ◽  
Energy Levels ◽  
Natural Classification ◽  
Quantum Numbers ◽  
Formal Expansion ◽  
Atomic Energy Levels ◽  
As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

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