搜索结果: 1-11 共查到“偏微分方程 dinger Equation”相关记录11条 . 查询时间(0.187 秒)
erbolic Schrödinger map and non-elliptic derivative Schrödinger equation in two spatial dimensions
Hyperbolic Schr¨odinger map Derivative Schr¨odinger equation Gabor frame
2011/1/17
Using the Gabor frame, we get some time-global dispersive estimates for the Schr¨odinger semi-group in anisotropic Lebesgue spaces, which include a time-global maximal function estimate in the space L...
Bound State Solutions of the Schrödinger Equation for Generalized Morse Potential With Position Dependent Mass
Position dependent mass Schr¨odinger Equation Generalized Morse potential
2011/1/19
The effective mass one-dimensional Schr¨odinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions
are comput...
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
Symmetry-breaking bifurcation nonlinear Schrö dinger equation symmetric potentials
2011/2/22
We consider the focusing (attractive) nonlinear Schr¨odinger (NLS) equation with an external,
symmetric potential which vanishes at infinity and supports a linear bound state. We prove that
the symm...
Solution for a non linear Schrödinger equation via Hopf-Cole transformation
non linear Schrö dinger equation Hopf-Cole transformation
2010/11/26
In this short letter we show that the one dimensional non linear Schr¨odinger equation(NLS)can be solved by a Hopf-Cole transformation which converts it to the Burgers equation in turbulence.
Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
Remarks Solution of the Position Dependent Mass (PDM) Schrö dinger Equation
2010/12/15
An approximate method is proposed to solve position dependent mass Schr¨odinger equation. The
procedure suggested here leads to the solution of the PDM Schr¨odinger equation without transforming the ...
Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
Remarks Solution of the Position Dependent Mass (PDM) Schrö dinger Equation
2010/12/15
An approximate method is proposed to solve position dependent mass Schr¨odinger equation. The
procedure suggested here leads to the solution of the PDM Schr¨odinger equation without transforming the ...
A note on Schrödinger equation with linear potential and hitting times
Schrö dinger equation linear potential hitting times
2010/11/29
In this note we derive a solution to the Schr¨odingertype backward equation which satisfies a necessary boundary condition used in hitting-time problems [as described in Hern´andezdel-
Valle (2...
What is the boundary condition for radial wave function of the Schrödinger equation ?
Schrodinger equation radial equation boundary condition
2010/12/15
The mathematical physics literatures as well as quantum mechanics textbooks on spherically symmetric potentials are enormous. Despite of these there is no unique point of view about the boundary behav...
The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited
he semiclassical limit of eigenfunctions Schrö dinger equation Bohr-Sommerfeld quantization condition
2010/12/1
Consider the semiclassical limit, as the Planck constant ~ ! 0, of bound states of a quantum particle in a one-dimensional potential well. We justify the semiclassical asymptotics of eigenfunctions an...
Continuous Dependence of Cauchy Problem For Nonlinear Schrödinger Equation in $H^{s}$
Nonlinear Schr¨odinger equation Continuous dependence
2010/12/3
We consider the Cauchy problem for the nonlinear Schr¨odinger equation i@tu + u = 1u + 2|u| u in RN, in Hs subcritical case 0 < 4 N−2s , when 0 < s < N 2 and 0 < +1, when s > N 2 . We...
Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres
Stationary nonlinear Schr¨odinger equation semiclassical states semilinear
2010/12/6
We study positive bound states for the equation −"2u + V (x)u = K(x)f(u), x 2 RN,where " > 0 is a real parameter and V and K are radial positive potentials.We are especially interested in solut...