scholarly journals DIAGONAL AND NONDIAGONAL MATRIX ELEMENTS OF THE EFFECTIVE HAMILTONIAN OF ELECTRONS IN A SEMICONDUCTOR (TAKING INTO ACCOUNT SPIN-ORBIT INTERACTION)

2020 ◽  
pp. 120-127
Author(s):  
Voxob Rustamovich Rasulov ◽  
Rustam Yavkachovich Rasulov ◽  
Akhmedov Bahodir Bahromovich ◽  
Ravshan Rustamovich Sultanov
Keyword(s):  
Wave Function ◽  
Matrix Element ◽  
Valence Band ◽  
Heavy Hole ◽  
Orbit Interaction ◽  
Effective Hamiltonian ◽  
Spin Orbit ◽  
Matrix Elements ◽  
The Matrix ◽  
Split Band

The matrix elements of the effective Hamiltonian of current carriers are calculated as in the Kane approximation, where the conduction band, the valence band consisting of light and heavy hole subbands, and the spin-split band, as well as in the Luttinger-Kohn model, are considered. KEYWORDS: matrix element, effective Hamiltonian, current carriers, wave function.

ON THE SPIN–ORBIT INTERACTION IN DIATOMIC MOLECULES. I

1958 ◽  
Vol 36 (3) ◽  
pp. 309-328 ◽  
Author(s):  
I. Kovács
Keyword(s):  
Diatomic Molecules ◽  
Electron System ◽  
Orbit Interaction ◽  
Spin Orbit ◽  
Matrix Elements ◽  
Molecular Constants ◽  
Spin Orbit Interaction ◽  
The Matrix

The purpose of the present paper is to give further details of an investigation of the spin–orbit interaction in diatomic molecules. The first part of the paper deals with perturbations between states of odd multiplicity in a two-electron system. With the aid of the matrix elements which have been obtained, a comparison of the perturbations in the various components of a given state and in some cases a comparison of perturbations in two different states is possible. Also for certain cases it has been possible to establish relationships between the matrix elements which give the magnitude of the perturbations and experimentally measurable molecular constants of the perturbed states.

ON THE SPIN–ORBIT INTERACTION IN DIATOMIC MOLECULES. II

1958 ◽  
Vol 36 (3) ◽  
pp. 329-351 ◽  
Author(s):  
I. Kovács
Keyword(s):  
Diatomic Molecules ◽  
Electron System ◽  
Orbit Interaction ◽  
Spin Orbit ◽  
Matrix Elements ◽  
Molecular Constants ◽  
Spin Orbit Interaction ◽  
The Matrix

This paper deals with perturbations between states of even multiplicity in a three-electron system. With the aid of the matrix elements which have been obtained, a comparison of the perturbations in the various components of a given state and in some cases a comparison of perturbations in two different states is possible. Also for certain cases it has been possible to establish relationships between the matrix elements which give the magnitude of the perturbations and experimentally measurable molecular constants of the perturbed states.

Orbit–orbit interaction inn fN electron configurations

1969 ◽  
Vol 47 (17) ◽  
pp. 1885-1888 ◽  
Author(s):  
K. M. S. Saxena ◽  
G. Malli
Keyword(s):  
Orbit Interaction ◽  
Matrix Elements ◽  
Atomic Systems ◽  
Hartree Fock ◽  
The Matrix

The expressions of the matrix elements of the orbit–orbit interaction for various fN electron configurations are computed and tabulated for general usage. These expressions are used to evaluate the Hartree–Fock values of the orbit–orbit interaction in all the states for a large number of fN electron atomic systems.

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