Results 31 to 40 of about 856 (85)
Spectral Shift Function for the Perturbations of Schrödinger Operators at High Energy [PDF]
, 2008 2000 Mathematics Subject Classification: 35P20, 35J10, 35Q40.We give a complete pointwise asymptotic expansion for the Spectral Shift Function for Schrödinger operators that are perturbations of the Laplacian on Rn with slowly decaying ...
Assel, Rachid, Dimassi, Mouez
core
Existence of Dirac resonances in the semi-classical limit [PDF]
, 2014 We study the existence of quantum resonances of the three-dimensional semiclassical Dirac operator perturbed by smooth, bounded and real-valued scalar potentials V decaying like ⟨x⟩−δ at infinity for some δ>0.
Kungsman, J, Melgaard, M
core +2 more sources
Stability of spectral eigenspaces in nonlinear Schrodinger equations
, 2006 We consider the time-dependent non linear Schrodinger equations with a double well potential in dimensions d =1 and d=2. We prove, in the semiclassical limit, that the finite dimensional eigenspace associated to the lowest two eigenvalues of the linear ...
Bambusi, Dario, Sacchetti, Andrea
core +2 more sources
THE EVOLUTION OF AN ANISOTROPIC HYPERBOLIC SCHRODINGER MAP HEAT FLOW
, 2015 Solution of Schrödinger map heat flow equation with applied field in 2-dimensional H2 space is obtained. Two different methods are used to construct the norm −1 exact solution. The solution admit a finite time singularity or a global smooth property. AMS
P. Zhong
semanticscholar +1 more source
Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system
Advances in Nonlinear AnalysisThis article is concerned with the following Hamiltonian elliptic system: −ε2Δu+εb→⋅∇u+u+V(x)v=Hv(u,v)inRN,−ε2Δv−εb→⋅∇v+v+V(x)u=Hu(u,v)inRN,\left\{\begin{array}{l}-{\varepsilon }^{2}\Delta u+\varepsilon \overrightarrow{b}\cdot \nabla u+u+V\left(x)v={H}_ ...
Zhang Jian, Zhou Huitao, Mi Heilong
doaj +1 more source
Global Analytic Solutions for the Nonlinear Schr\"odinger Equation
, 2019 We prove the existence of global analytic solutions to the nonlinear Schr\"odinger equation in one dimension for a certain type of analytic initial data in $L^2$.Comment: Corrected errors in proofs in section
Biyar, Magzhan +1 more
core +1 more source
The asymptotic limits of zero modes of massless Dirac operators
, 2007 Asymptotic behaviors of zero modes of the massless Dirac operator $H=\alpha\cdot D + Q(x)$ are discussed, where $\alpha= (\alpha_1, \alpha_2, \alpha_3)$ is the triple of $4 \times 4$ Dirac matrices, $ D=\frac{1}{i} \nabla_x$, and $Q(x)=\big(q_{jk} (x) \
A.A. Balinsky +13 more
core +2 more sources
"Thermodynamique cach\'ee des particules" and the quantum potential [PDF]
, 2012 According to de Broglie, temperature plays a basic role in quantum Hamilton-Jacobi theory. Here we show that a possible dependence on the temperature of the integration constants of the relativistic quantum Hamilton-Jacobi may lead to corrections to the ...
Matone, Marco
core +1 more source
Dispersive estimate for the Schroedinger equation with point interactions
, 2005 We consider the Schroedinger operator in R^3 with N point interactions placed at Y=(y_1, ... ,y_N), y_j in R^3, of strength a=(a_1, ... ,a_N). Exploiting the spectral theorem and the rather explicit expression for the resolvent we prove a (weighted ...
Albeverio +6 more
core +3 more sources
Numerical Mathematics: Theory, Methods and Applications, 2019 A numerical method is proposed to approach the Approximate Inertial Manifolds (AIMs) in unsteady incompressible Navier-Stokes equations, using multilevel finite element method with hierarchical basis functions.
M. Aslam
semanticscholar +1 more source