[10] Hose G., Taylor H.S. Quantum Kolmogorov – Arnol’d –Moser — like theorem:
fundamentals of localization in quantum theory.
Phys. Rev. Lett
., 1983, vol. 51,
no. 11, pp. 947–950.
[11] Henon M., Heiles C. The applicability of the third integral of motion: some numerical
experiments.
Astron. J
., 1964, vol. 69, no. 1, pp. 73–79.
[12] Gurchenkov A.A., Kulagin N.E. Lokalizovannye i periodicheskie resheniya v
modelyakh nelineynogo skalyarnogo polya [Localized and Periodic Solutions in
Nonlinear Scalar Field Models]. Moscow, VTs RAN (Institute for System Research,
Russian Academy of Sciences) Publ., 2004. 87 p.
[13] Gurchenkov A.A., Kulagin N.E. Ob uzorakh simmetrii v prostykh modelyakh
nelineynogo skalyarnogo polya [On the Patterns of Symmetry in Simple Models
of the Nonlinear Scalar Field]. Moscow, VTs RAN (Institute for System Research,
Russian Academy of Sciences) Publ., 2005, 190 p.
[14] Gurchenkov A.A., Kulagin N.E. Sloistye struktury v nelineynykh vektornykh
polyakh [The Layered Structures in Nonlinear Vector Fields]. Moscow, VTs RAN
(Institute for System Research, Russian Academy of Sciences) Publ., 2005. 130 p.
[15] Gurchenkov A.A., Kulagin N.E. O sopostavlenii bifurkatsiy v klassicheskoy i
kvantovoy mekhanike [On Comparison of Bifurcations in the Classical and Quantum
Mechanics]. Moscow, VTs RAN (Institute for System Research, Russian Academy
of Sciences) Publ., 2009. 87 p.
[16] Gurchenkov A.A. The Distribution Function of Quantum Fermi Gas in the Problem
of Evaporation. The Dynamics of Inhomogeneous Systems.
Tr. Inst. Sist. Analiza
RAN
[Proc. Inst. for Systems Analysis of the Russian Academy of Sciences (ISA
RAS)], 2008, vol. 32 (3), pp. 8–17 (in Russ.).
Статья поступила в редакцию 15.06.2015
Гурченков Анатолий Андреевич — д-р физ.-мат. наук, сотрудник ВЦ РАН, профессор
кафедры “Высшая математика” МГТУ им. Н.Э. Баумана.
ВЦ РАН, Российская Федерация, 119333, Москва, ул. Вавилова, д. 40.
МГТУ им. Н.Э. Баумана, Российская Федерация, 105005, Москва, 2-я Бауманская ул.,
д. 5.
Gurchenkov A.A. —
D.Sc.(Phys.-Math.), Fellow of Dorodnitsyn Computing Centre of the
Russian Academy of Sciences, Professor, Department of Higher Mathematics, Bauman
Moscow State Technical University.
Dorodnitsyn Computing Centre, Russian Academy of Sciences, ul. Vavilova 40, Moscow,
119333 Russian Federation.
Bauman Moscow State Technical University, 2-ya Baumanskaya ul. 5, Moscow, 105005
Russian Federation.
Просьба ссылаться на эту статью следующим образом:
Гурченков А.А. Спектр собственных значений квантовых интегрируемых систем //
Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2015. № 6. C. 3–15.
Please cite this article in English as:
Gurchenkov A.A. Eigenvalues spectrum of quantum integrable systems.
Vestn. Mosk.
Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki
[Herald of the Bauman Moscow State
Tech. Univ., Nat. Sci.], 2015, no. 6, pp. 3–15.
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. “Естественные науки”. 2015. № 6
15