Volume no :8, Issue no: 2, April 2011

DECAY OF SCATTERING SOLUTIONS TO ONE-DIMENSIONAL FREE SCHRÖDINGER EQUATION

Author's: Yuya Dan
Pages: [53] - [59]
Received Date: April 4, 2011
Submitted by:

Abstract

In this paper, we investigate the decay property of scattering solutions to the initial value problem for the free Schrödinger equation in It becomes clear that the rate of time decay is essentially determined by the behaviour of the Fourier transform of initial data near the origin. The proof is described by basic calculus.

Keywords

decay rate, Fourier transform, initial data wavefunction, survival probability.