Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Effective masses and conformal mappings. / Kargaev, P.; Korotyaev, E.
в: Communications in Mathematical Physics, Том 169, № 3, 05.1995, стр. 597-625.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Effective masses and conformal mappings
AU - Kargaev, P.
AU - Korotyaev, E.
PY - 1995/5
Y1 - 1995/5
N2 - Let Gn, N∞N, denote the set of gaps of the Hill operator. We solve the following problems: 1) find the effective masses Mn±, 2) compare the effective mass Mn± with the length of the gap Gn, and with the height of the corresponding slit on the quasimomentum plane (both with fixed number n and their sums), 3) consider the problems 1), 2) for more general cases (the Dirac operator with periodic coefficients, the Schrödinger operator with a limit periodic potential). To obtain 1)-3) we use a conformal mapping corresponding to the quasimomentum of the Hill operator or the Dirac operator.
AB - Let Gn, N∞N, denote the set of gaps of the Hill operator. We solve the following problems: 1) find the effective masses Mn±, 2) compare the effective mass Mn± with the length of the gap Gn, and with the height of the corresponding slit on the quasimomentum plane (both with fixed number n and their sums), 3) consider the problems 1), 2) for more general cases (the Dirac operator with periodic coefficients, the Schrödinger operator with a limit periodic potential). To obtain 1)-3) we use a conformal mapping corresponding to the quasimomentum of the Hill operator or the Dirac operator.
UR - http://www.scopus.com/inward/record.url?scp=0002254974&partnerID=8YFLogxK
U2 - 10.1007/BF02099314
DO - 10.1007/BF02099314
M3 - Article
AN - SCOPUS:0002254974
VL - 169
SP - 597
EP - 625
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 3
ER -
ID: 86258333