Premium
Effective Hamiltonian Method in the Theory of Activated Crystals
Author(s) -
Nikiforov A. E.,
Mitrofanov V. Ya.,
Men A. N.
Publication year - 1972
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220510118
Subject(s) - hamiltonian (control theory) , eigenfunction , energy spectrum , perturbation (astronomy) , perturbation theory (quantum mechanics) , physics , impurity , generalization , statistical physics , mathematics , eigenvalues and eigenvectors , quantum mechanics , mathematical analysis , mathematical optimization
A generalization of the effective Hamiltonian method (EFH) proposed in [1, 2] is developed for all SR groups and for the case of “strongly interacting levels”. Such an approach makes it possible to calculate the relative transition components in the framework of a semi‐empirical method. The proposed EFH method is based on the use of eigenfunctions the zeroth‐order Hamiltonian. This yields the possibility to evaluate the EFH parameters any order of the perturbation theory. The second part of the paper is devoted to the development of the EFH method for the calculation of the energy spectrum of a pair of coupled impurity ions in crystals.