搜索结果: 1-12 共查到“数学 Schroedinger”相关记录12条 . 查询时间(0.065 秒)
Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials
Non-square lattices, Nonlinear waves Photonic lattices
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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...
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
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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
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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
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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...
Conditional global regularity of Schroedinger maps: sub-threshold dispersed energy
Conditional global regularity Schroedinger maps sub-threshold dispersed energy
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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
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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
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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,
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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
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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...
The Clifford Algebra approach to Quantum Mechanics A: The Schroedinger and Pauli Particles
The Clifford Algebra approach Quantum Mechanics
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2010/11/23
In this paper we show how all the quantum properties of Schroedinger and Pauli particles can be described entirely from within a Clifford algebra taken over the reals. There is no need to appeal to a...
Near soliton evolution for equivariant Schroedinger Maps in two spatial dimensions
equivariant Schroedinger Maps two spatial dimensions
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2010/12/1
We consider the Schr¨odinger Map equation in 2 + 1 dimensions, with values into S2. This admits a lowest energy steady state Q, namely the stereographic projection,which extends to a two dimensional f...
Semiclassical limit for the Schroedinger equation with a short scale periodic potential
Semiclassical limit for the Schroedinger equation short scale periodic potential
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2010/11/2
We consider the dynamics generated by the Schroedinger operator $H=-{1/2}\Delta + V(x) + W(\epsi x)$, where $V$ is a lattice periodic potential and $W$ an external potential which varies slowly on the...