No. 2

Nanosystems: physics, chemistry, mathematics
April 2015, Volume 6, Issue 2, pp 155-303

Special Issue:
INTERNATIONAL CONFERENCE
“WAVE DYNAMICS IN LOW-DIMENSIONAL BRANCHED STRUCTURES”
24.09.2014 – 25.09.2014, Tashkent, Uzbekistan.

PAPERS, PRESENTED AT THE CONFERENCE

K.K. Sabirov, A.R. Khalmukhamedov
A solution of nonlinear Schrödinger equation on metric graphs 162

D.U. Matrasulov, J.R. Yusupov, K.K. Sabirov, Z.A. Sobirov
Time-dependent quantum graph 173

J. Lipovský
An introduction to the spectral asymptotics of a damped wave equation on metric graphs 182

K.K. Sabirov, Z.A. Sobirov, O.V. Karpova, A.A. Saidov
The relativistic inverse scattering problem for quantum graphs 192

Z.A. Sobirov, M.I. Akhmedov, H. Uecker
Cauchy problem for the linearized KdV equation on general metric star graphs 198

Sh. Tanimura
Uncertainty relation between angle and orbital angular momentum: interference effect in electron vortex beams 205

D.B. Abdullaev, B. Abdullaev, M.M. Musakhanov
Perturbative hydrodynamic Gross-Pitaevskii treatment for Bose-Einstein condensate in infinite length ring with disorder 213

S. Rakhmanov, D. Babajanov, O. Karpova, F. Khoshimova
Quantum dynamics in a kicked square billiards 216

D.B. Babajanov, D.U. Matrasulov, Z.A. Sobirov, S.K. Avazbaev, O.V. Karpova
Time-dependent quantum circular billiard 224

U.K. Sapaev, V.E. Eshniyazov, B.Kh. Eshchanov, D.B. Yusupov
Femtosecond pulse shaping via engineered nonlinear photonic crystals 244

B.L. Oksengendler, B. Askarov, I.N. Nurgaliyev, S.E. Maksimov, V.N. Nikiforov
Nanocatalysis: hypothesis on the action mechanism of gold 249

T. Akhmadjanov, E. Rakhimov, D. Otajanov
Particle dynamics in corrugated rectangular billiard 262

REGULAR PAPERS

D.K. Durdiev
Inverse problem for the identification of a memory kernel from Maxwell’s system integro-differential equations
for a homogeneous anisotropic media
268

N.N. Konobeeva, A.A. Polunina, M.B. Belonenko
Renyi entropy for the doped graphene at low temperatures 274

M.I. Muminov, T.H. Rasulov
Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice 280

K.N. Semenov, N.A. Charykov, A.S. Kritchenkov, I.A. Cherepkova, O.S. Manyakina, D.P. Tyurin, A.A. Shestopalova, V.A. Keskinov, K.V. Ivanova, N.M. Ivanova, D.G. Letenko, V.A. Nikitin, E.L. Fokina, M.S. Gutenev
Dependence of the dimension of the associates of water-soluble tris-malonate of light fullerene — C60 [= C(COOH)2]3 in water solutions at 25 °C 294

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