搜索结果: 1-15 共查到“理学 Schroedinger”相关记录25条 . 查询时间(0.073 秒)
Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials
Non-square lattices, Nonlinear waves Photonic lattices
2014/12/8
The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schr¨odinger (NLS) equations with periodic confining potent...
A Family of Exact, Analytic Time Dependent Wave Packet Solutions to a Nonlinear Schroedinger Equation
A Family of Exact Analytic Time Dependent Packet Solutions Nonlinear Schroedinger Equation Mathematical Physics
2012/6/19
We obtain time dependent $q$-Gaussian wave-packet solutions to a non linear Schr\"odinger equation recently advanced by Nobre, Rego-Montero and Tsallis (NRT) [Phys. Rev. Lett. 106 (2011) 10601]. The N...
Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations
Stability analysis pitchfork bifurcations of solitary waves generalized nonlinear Schroedinger equations Optics
2012/4/26
Linear stability of both sign-definite (positive) and sign-indefinite solitary waves near pitchfork bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms o...
Reflection of Channel-Guided Solitons at Junctions in Two-Dimensional Nonlinear Schroedinger Equation
Reflection of Channel-Guided Solitons Junctions Two-Dimensional Nonlinear Schroedinger Equation Pattern Formation and Solitons
2012/4/26
Solitons confined in channels are studied in the two-dimensional nonlinear Schr\"odinger equation. We study the dynamics of two channel-guided solitons near the junction where two channels are merged....
Markov processes and generalized Schroedinger equations
Markov processes Stochastic mechanics Doob transformation
2011/8/26
Abstract: Starting from the forward and backward infinitesimal generators of bilateral, time-homogeneous Markov processes, the self-adjoint Hamiltonians of the generalized Schroedinger equations are f...
A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
nonlinear Schroedinger solitons spatiotemporal
2011/7/6
We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form $f(x,t) = a \exp[iK(t)x]$. For the case of time-independen...
A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
Schroedinger solitons
2011/9/29
We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form f(x, t) = a exp[iK(t)x].For the case of time-independent f...
Control for Schroedinger operators on tori
Schroedinger operator Jaffard states Systems and Control
2011/7/27
Abstract: A well known result of Jaffard states that an arbitrary region on a torus controls, in the L2 sense, solutions of the free stationary and dynamical Schroedinger equations. In this note we sh...
Conditional global regularity of Schroedinger maps: sub-threshold dispersed energy
Conditional global regularity Schroedinger maps sub-threshold dispersed energy
2011/2/22
We consider the Schr¨odinger map initial value problem ( ∂tϕ = ϕ × ϕ ϕ(x, 0) = ϕ0(x),
with ϕ0 : R2 ! S2 ֒! R3 a smooth H1 Q map from the Euclidean space R2 ...
The Nonlinear Schroedinger Equation: Existence, Stability and Dynamics of Solitons
Soliton dynamics Nonlinear Schroedinger Equation
2011/2/28
In this paper we present some recent results concerning the existence,the stability and the dynamics of solitons occurring in the nonlinear Schroedinger equation when the parameter h → 0.
Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity
Nonlinear Equations Variational Methods Orlicz Spaces
2011/2/28
We consider the problem u + V (x)u = f0(u) + g(x) in RN, under the assumption limx!1 V (x) = 0, and with the non linear term f with a double power behavior. We prove the existence two solut...
Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0
Nonlinear Equations Variational Methods Orlicz Spaces,
2011/2/28
We consider the problem u + V (x)u = f′(u) in RN. Here the non-linearity has a double power behavior and V is invariant under an orthogonal involution, with V (∞) = 0. An existence theorem of one pai...
On Integrability of Nonautonomous Nonlinear Schroedinger Equations
Nonlinear Schr¨odinger equations generalized harmonic oscillators
2011/2/21
We show, in general, how to transform nonautonomous nonlinear Schr¨odinger equation
with quadratic Hamiltonians into the standard autonomous form that is completely integrable by the familiar inverse...
Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
Classical Integrability the Squashed Three-sphere Warped AdS3 Schroedinger Spacetime
2010/12/23
We discuss the integrability of 2d non-linear sigma models with target space being the squashed three-sphere, warped anti-de Sitter space and the Schroedinger spacetime. These models can be obtained v...
Spherically Symmetric Approximation (and beyond) in Relativistic Schroedinger Theory
Spherically Symmetric Approximation Relativistic Schroedinger Theory
2010/12/23
The energy eigenvalue problem of non-relativistic positronium is considered within the framework of Relativistic Schroedinger Theory (RST), and the results are compared to those of the conventional qu...