Results 271 to 280 of about 25,004 (307)

ANALYTIC SOLUTIONS TO NONLINEAR SCHRODINGER EQUATIONS (Microlocal Analysis of the Schrodinger Equation and Related Topics)

open access: yesANALYTIC SOLUTIONS TO NONLINEAR SCHRODINGER EQUATIONS (Microlocal Analysis of the Schrodinger Equation and Related Topics)
openaire  

On smoothing properties of Nonlinear Schrodinger Equations (Microlocal Analysis of the Schrodinger Equation and Related Topics)

open access: yesOn smoothing properties of Nonlinear Schrodinger Equations (Microlocal Analysis of the Schrodinger Equation and Related Topics)
openaire  

Convergence properties for the Schrodinger equation

Rendiconti del Seminario Matematico e Fisico di Milano, 1987
The paper is a survey of recent results on a.e. convergence of the solutionu(x, t) to the Schrodinger equation\(\Delta u = i\frac{{\partial u}}{{\partial t}}\) andu(x, 0)=f(x) wheref belongs to the Schwartz class Open image in new window . A.e. convergence is established via estimates of the kind $$\left( {\int\limits_B {(\mathop {Sup}\limits_{0 ...
openaire   +1 more source

Is There a Relativistic Effect in the Schrodinger Equation?

2021
We prove that associated with mass is spacetime curvature which leads to creation of volume and mass shells in every instance due to the energy equivalence principle. We put forth the relations between a point surface tension and a spacetime curvature. The conclusion is that the spacetime is of fluid nature.
openaire   +1 more source

The Linear Schrodinger Equation

2009
In this chapter, we study smoothing properties of solutions of the initial value problem to the linear Schrodinger equation. In Section 4.1 we present general basic results related to solutions of the initial value problem. The global smoothing properties of solutions of the linear problem which are described by estimates of the type \(L^q(\mathbb{R}:L^
Felipe Linares, Gustavo Ponce
openaire   +1 more source

A comparison of the Schrodinger and Salpeter equations

AIP Conference Proceedings, 1985
A unified approach to the solution of the Schrodinger and spinless Salpeter equations is presented. Fits to heavy quark bound state energies using various potential models are employed to determine whether the Salpeter equation provides a better description of heavy quark systems than the Schrodinger equation.
S. Jacobs, M. G. Olsson
openaire   +1 more source

Dispersive properties of Schrodinger equations

2005
This thesis mainly concerns the dispersive properties of Schrodinger equations with certain potentials, and some of their consequences. First, we consider the charge transfer models in R^n with n > 2. In this case, the potential is a sum of several individual real-valued potentials, each moving with constant velocities.
openaire   +1 more source

Simulation of the Schrodinger equation on SHAC

Physics Education, 1976
Describes a simulation of the Schrodinger wave equation for the hydrogen atom on SHAC, a simple homogeneous analogue computer. The program is part of a scheme of research aimed at showing the value of a simple general purpose analogue computer as a teaching aid in chemistry and biology as well as in physics, and in higher education as well as in ...
openaire   +1 more source

Approximate solutions of Schrodinger equation and thermodynamic properties with Hua potential

Results in Physics, 2021
I J Njoku   +2 more
exaly  

On the stochastic nonlinear Schrodinger equation

2010
We consider a non linear Schrodinger equation on a compact manifold of dimension d subject to some multiplicative random perturbation. Using some stochastic Strichartz inequality, we prove the existence and uniqueness of a maximal solution in H^1 under some general conditions on the diffusion coefficient.
openaire   +1 more source

Home - About - Disclaimer - Privacy