THE EXTENSION OF A LAGRANGIAN FORMULA TO EIGENVALUE PROBLEMS (in French)
A implicit eigenvalue equation may be transformed into an ordinary eigenvalue problem by generalizing the Lagrange formula to operators. A method is given to build a constuct operator h which has the same eigenvalues and eigenvectors as the original equation. Moreover it is possible to find a hermitian operator K which has the same eigenvalues and whose eigenvectors are related in a simple way to the original ones. The method is applied to the calculation of perturbation expansions for bound states starting from the Brillouin-Wigner formula. In this case, the eigeavectors of K have a simple geometric meaning and may be considered as unperturbed wave functions. (auth)
- Research Organization:
- Centre d'Etudes Nucleaires, Saclay, France
- NSA Number:
- NSA-15-018594
- OSTI ID:
- 4011954
- Report Number(s):
- CEA-1867
- Journal Information:
- Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 20
- Country of Publication:
- France
- Language:
- French
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