Asymptotic expansions for some integrals of quotients with degenerated divisorsRussian Journal of Mathematical Physics - Tập 24 Số 4 - Trang 476-487 - 2017
Kuksin, S.
We study the asymptotic expansion as ν → 0 for integrals over R2d = {(x, y)} of the quotients F(x, y)/((x · y)2 + (νΓ(x, y))2), where Γ is strictly positive and F decays at infinity sufficiently fast. Integrals of this kind appear in the description of the four-waves interactions.
Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potentialRussian Journal of Mathematical Physics - Tập 20 - Trang 438-452 - 2013
Y. A. Godin, S. Molchanov, B. Vainberg
We study the influence of disorder on propagation of waves in one-dimensional structures. Transmission properties of the process governed by the Schrödinger equation with the white noise potential can be expressed through the Lyapunov exponent γ which we determine explicitly as a function of the noise intensity σ and the frequency ω. We find uniform two-parameter asymptotic expressions for γ which...... hiện toàn bộ
On a Heavy Quantum ParticleRussian Journal of Mathematical Physics - Tập 26 Số 1 - Trang 109-121 - 2019
Dmitry Treschev, Oleg Zubelevich
Linear and nonlinear liftings of states of quantum systemsRussian Journal of Mathematical Physics - Tập 19 - Trang 417-427 - 2012
G. G. Amosov, V. Zh. Sakbaev, O. G. Smolyanov
In this paper, we study the representability of an arbitrary quantum state ρ ∈ Σ(H) as the reduction of a vector state r ∈ Σ(H) of the extended system. We extend the operation of lifting from the set of states Σ
n
(H) to the set of generalized states Σ(H). A method of constructing the Hilbert space H and the affine linear lifting Σ(H) → Σ(H) is studied. The constr...... hiện toàn bộ
Existence of Contrast Structures in a Problem with Discontinuous Reaction and AdvectionRussian Journal of Mathematical Physics - Tập 29 - Trang 214-224 - 2022
N. N. Nefedov, E. I. Nikulin, A. O. Orlov
In the paper, a boundary value problem for a singularly perturbed reaction-diffusion-advection equation is considered in a two-dimensional domain in the case of discontinuous coefficients of reaction and advection, whose discontinuity occurs on a predetermined curve lying in the domain. It is shown that this problem has a solution with a sharp internal transition layer localized near the disconti...... hiện toàn bộ
Measures on the Hilbert space of a quantum systemRussian Journal of Mathematical Physics - Tập 24 - Trang 234-240 - 2017
A. Yu. Khrennikov, O. G. Smolyanov
The paper is the first in a series of papers on the use of measures and generalized measures in quantum theory. In particular, a survey of the proofs of equivalence of various definitions of the density operator is presented. The exposition is of algebraic nature, and analytic assumptions are usually omitted.
Motion of a Smooth Foil in a Fluid under the Action of External Periodic Forces. IIRussian Journal of Mathematical Physics - Tập 27 - Trang 1-17 - 2020
A. V. Borisov, E. V. Vetchanin, I. S. Mamaev
This paper considers the plane-parallel motion of an elliptic foil in a fluid with a nonzero constant circulation under the action of external periodic forces and torque. The existence of the first integral is shown for the case in which there is no external torque and an external force acts along one of the principal axes of the foil. It is shown that, in the general case, in the absence of frict...... hiện toàn bộ