搜索结果: 1-15 共查到“数学 Schrodinger”相关记录69条 . 查询时间(0.062 秒)
This paper is concerned with the numerical solution of the Maxwell–Schrodinger system under the temporal gauge, which describes light–matter interactions. We first propose a semidiscrete finite elemen...
分数阶非线性Schrodinger方程的守恒算法
分数阶非线性Schrodinger方程 谱方法 守恒律 收敛性 数值实验
2022/3/11
利用傅里叶谱方法对空间分数阶非线性Schrodinger方程进行数值求解，并证明该格式保持了能量和质量的守恒性且无条件稳定。该方法在空间方向具有谱精度，在时间方向具有二阶精度。还对该格式进行误差分析及收敛性分析。最后通过数值实验验证了该算法的守恒性、准确性和有效性。
具波动算子非线性Schrodinger方程线性化差分格式
非线性Schrodinger方程 波动算子 收敛性 稳定性 线性化格式
2022/3/18
构造了具波动算子的非线性Schrodinger方程的一种线性化差分格式。即在守恒非线性差分格式的基础上，利用Taylor方法展开非线性项，引入小参数ε得到该方程的线性化差分格式。利用Fourier方法证明了其格式的收敛性和稳定性。最后通过数值例子验证了该方法的可信性和有效性。
分数阶非线性Schrodinger方程的时间分裂算法
分数阶非线性Schrodinger方程 分裂算法 守恒律 收敛性 数值实验
2022/3/30
主要研究分数阶非线性Schrodinger方程的时间分裂算法，将分数阶非线性Schrodinger方程分裂成一个线性方程和一个非线性方程分别求解。其中，非线性方程可精确求解，并满足“点点守恒”，而线性方程利用Crank Nicolson差分格式离散求解。证明了该算法在离散形式下保持了原方程的质量和能量的守恒性，是无条件稳定的，收敛误差为O(h2+τ2)。最后通过数值实验验证了该算法的可行性和精度...
Growth of Sobolev norms in the cubic defocusing nonlinear Schrodinger equation
Sobolev norms cubic defocusing nonlinear Schrodinger equation
2015/9/25
We consider the cubic defocusing nonlinear Schr¨odinger equation in the two dimensional torus. Fix s > 1. Colliander, Keel, Staffilani, Tao and Takaoka proved in [CKS+10] the existence of solutions wi...
SELF-AVERAGING FROM LATERAL DIVERSITY IN THE ITO-SCHRODINGER EQUATION
Random media Parabolic approximation Stochastic partial differential equations
2015/7/14
We consider the random Schrodinger equation as it arises in the paraxial regime for wave propagation in random media. In the white noise limit it becomes the Ito-Schrodinger stochastic partial differe...
Long time energy transfer in the random Schrodinger equation
Long time energy transfer random Schrodinger equation
2015/7/14
We consider the long time behavior of solutions of the d-dimensional linear Boltzmann equation that arises in the weak coupling limit for the Schrodinger equation with a time-dependent random potentia...
Multiple positive solutions for semilinear Schrodinger equations
Multiple positive solutions semilinear Schrodinger equations
2015/4/3
Multiple positive solutions for semilinear Schrodinger equations.
A local mountain pass type result for a system of nonlinear Schrodinger equations
local mountain pass type nonlinear Schrodinger equations
2015/4/3
A local mountain pass type result for a system of nonlinear Schrodinger equations.
Standing waves with critical frequency for nonlinear Schrodinger equations
Standing waves critical frequency nonlinear Schrodinger equations
2015/4/3
Standing waves with critical frequency for nonlinear Schrodinger equations.
EQUIVARIANT SCHRODINGER MAPS IN TWO SPATIAL ¨ DIMENSIONS: THE H2 TARGET
EQUIVARIANT SCHRODINGER MAPS TWO SPATIAL DIMENSIONS THE H2 TARGET
2014/4/3
We consider equivariant solutions for the Schr¨odinger map problem from R2+1to H2 with finite energy and show that they are global in time and scatter.
A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation
Schrodinger Equation Absorbing Boundary FDTD Method Stability
2013/1/30
The Finite-Difference Time-Domain (FDTD) method is a well-known technique for the analysis of quantum devices. It solves a discretized Schr?dinger equation in an iterative process. However, the method...
Conservativity of Symplectic Methods for the Ablowitz-Ladik Discrete Nonlinear Schrodinger Equation
Nonlinear Schrdinger Equation Ablowitz-Ladik Model Darboux
2012/8/7
Using several kinds of Darboux transformations, we standardize the non-
canonical symplectic structure of Ablowitz-Ladik model (A-L model) of the
Nonlinear Schr膐dinger Equation (NLSE), then we emplo...
Schrodinger Equation on homogeneous trees
homogeneous tree nonlinear Schrodinger equation dispersive estimate Strichartz estimate scattering
2012/6/21
Let T be a homogeneous tree and L the Laplace operator on T. We consider the semilinear Schrodinger equation associated to L with a power-like nonlinearity F of degree d. We first obtain dispersive es...
On Self-Adjointness Of 1-D Schrodinger Operators With $δ$-Interactions
Schrodinger operator local point interaction self-adjoint operator deficiency indices Jacobi matrices
2012/4/23
In the present work we consider in $L^2(\mathbb{R}_+)$ the Schr\"odinger operator $\mathrm{H_{X,\alpha}}=-\mathrm{\frac{d^2}{dx^2}}+\sum_{n=1}^{\infty}\alpha_n\delta(x-x_n)$. We investigate and comple...