RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 
Lyskova, Alla Stanislavovna

Statistics Math-Net.Ru
Total publications: 5
Scientific articles: 5

Number of views:
This page:191
Abstract pages:859
Full texts:364
References:117
Associate professor
Candidate of physico-mathematical sciences (1981)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 08.02.1956
Keywords: theory of Group Representations and its applications to Quantum Mechanics; Spectral theory for the linear differential operators; N-variable analogues of the classical orthogonal polynomials.

Subject:

For two-dimensional Schrodinger operator H in periodic magnetic field $B(x,y)$ and electric field with periodic potential $V(x,y)$ are studied typical dispersion laws $\lambda_j(p_1, p_2)$ and their topological characteristics (quantum numbers) are established. The following theorem is proved: in general case, the Schrodinger operator possesses a countable set of dispersion laws with arbitrary quantum numbers which are no way related to each other or to the flux of the external magnetic field.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1978; the post graduated course of Department of Mathematics from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University in 1981 (department of differential geometry and topology) Ph.D. thesis was defended in 1981.

   
Main publications:
  • Lyskova A. S. Topologicheskie kharakteristiki operatora Shredingera v magnitnom pole i slabom potentsiale. // Teor. i matem. fizika, 1985, t. 65, # 3.
  • Lyskova A. S. Ortogonalnye mnogochleny neskolkikh peremennykh // DAN SSSR, 1991, t. 316, # 6, 1301–1306.

http://www.mathnet.ru/eng/person17319
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/229930

Publications in Math-Net.Ru
1997
1. A. S. Lyskova, “On some properties of orthogonal polynomials in several variables”, Uspekhi Mat. Nauk, 52:4(316) (1997),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 52:4 (1997), 840–841  isi  scopus
1996
2. A. S. Lyskova, “Polynomial solutions of a certain class of ordinary differential equations”, Uspekhi Mat. Nauk, 51:3(309) (1996),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:3 (1996), 557–558  isi  scopus
1985
3. A. S. Lyskova, “Topological characteristics of the spectrum of the Schrödinger operator in a magnetic field and in a weak potential”, TMF, 65:3 (1985),  368–378  mathnet  mathscinet; Theoret. and Math. Phys., 65:3 (1985), 1218–1225  isi
1981
4. A. S. Lyskova, “Topological properties of the Schrödinger operator in a magnetic field and with a weak potential”, Uspekhi Mat. Nauk, 36:5(221) (1981),  181–182  mathnet  mathscinet; Russian Math. Surveys, 36:5 (1981), 165–166  isi
5. A. S. Lyskova, “On the Schrödinger operator in a magnetic field”, Uspekhi Mat. Nauk, 36:2(218) (1981),  189–190  mathnet  mathscinet; Russian Math. Surveys, 36:2 (1981), 181–182  isi

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019