An integrable case of the Schrödinger matrix equation for multilevel quantum systems
... уравнения Шредингера // Там же. 2007. С. 16—22.
4.
Зайцев А.
А.
Лекции по теории динамических систем: учеб. пособие. Калининград, 2004.
Zaitsev A. A., Kargapolov D. A.
Schrödinger equation, multilevel quantum system, exact solution, invariant, characteristic equation.
18-26
An impacton solution for the vortex filament
A new way of construction of exact solutions describing the shape and the dynamics of vortex filaments is described. The new method is based on application of a binary Darboux transformation to the solutions of the nonlinear Schrödinger equation. A new type of solutions is constructed: the impacton. The explicit form of the curvature and torsion of corresponding vortex filament are calculated.
1. Валландер С. В. Лекции по гидроаэромеханике. Л.,...
A surprising tale of long-periodic spin oscillations in the synthetic antiferromagnets: some exact solutions
... functions, parameterized by a natural number N. One of those solutions with N = 2 produces the magnetization function which perfectly fits the experimental data.
Yurov V. A., Yurov A. V., Morgunov R. B.
synthetic antiferromagnets, domain walls, Schrödinger equation, degenerate hypergeometric equation
79-89
A mathematical simulation and a numerical investigation of dynamics of intramolecular tautomerny transformation without considering processes of a proton relaxation. Part I. A description of a mathematical model
... университета им. И. Канта. Вып. 10. С. 79—93.
7. Ландау Л. Д., Лифшиц Е. М. Квантовая механика. М., 1963.
Kvitko G., Kuzin E., Latyshev К., Shott D.
mathematical model, hydrogen binding, proton, Schrödinger equation, adiabatic model potentials, statistical operator, probability of tautomerny transformation.
94-101