Geodesic
Wave functions and spectrum of~electrons in~a~bounded crystal
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 127-137

Voir la notice de l'article provenant de la source Math-Net.Ru

Problem of determining the spectrum and the wave function of an electron in a semi-bounded crystal with periodical potential of the muffin-tin type is considered. Solution of the Schrodinger equation is reduced to the solution of the system of the Hilbert boundary value problems, the condition of solvability of which determines the electron spectrum. It is shown that the wave functions and the spectrum of an electron can be expressed in terms of the parameters relating to one layer parallel to the boundary of the crystal. 
@article{TMF_1980_44_1_a10,
     author = {M. B. Sultanov},
     title = {Wave functions and spectrum of~electrons in~a~bounded crystal},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {127--137},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a10/}
}
TY  - JOUR
AU  - M. B. Sultanov
TI  - Wave functions and spectrum of~electrons in~a~bounded crystal
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1980
SP  - 127
EP  - 137
VL  - 44
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a10/
LA  - ru
ID  - TMF_1980_44_1_a10
ER  - 
%0 Journal Article
%A M. B. Sultanov
%T Wave functions and spectrum of~electrons in~a~bounded crystal
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1980
%P 127-137
%V 44
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a10/
%G ru
%F TMF_1980_44_1_a10
M. B. Sultanov. Wave functions and spectrum of~electrons in~a~bounded crystal. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 1, pp. 127-137. http://geodesic.mathdoc.fr/item/TMF_1980_44_1_a10/