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The Linear Schrodinger Equation
2009In 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
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A comparison of the Schrodinger and Salpeter equations
AIP Conference Proceedings, 1985A 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
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Convergence properties for the Schrodinger equation
Rendiconti del Seminario Matematico e Fisico di Milano, 1987The 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 ...
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A new class of eigenstates for Schrodinger equation
I use the method of moments to obtain a solution of the Schr\"odinger equation, with new eigenvalues and new ...openaire +1 more source
Dispersive properties of Schrodinger equations
2005This 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.
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Simulation of the Schrodinger equation on SHAC
Physics Education, 1976Describes 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 ...
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On the stochastic nonlinear Schrodinger equation
2010We 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.
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