Turing Computability of a Nonlinear Schrödinger Propagator

Authors:
Klaus Weihrauch;Ning Zhong
Affiliations:
-;-
Venue:
COCOON '01 Proceedings of the 7th Annual International Conference on Computing and Combinatorics
Year:
2001

Citing 3
Cited 0

Complexity theory of real functions

Complexity theory of real functions
Computable analysis: an introduction

Computable analysis: an introduction
The Wave Propagator Is Turing Computable

ICAL '99 Proceedings of the 26th International Colloquium on Automata, Languages and Programming

Quantified Score

Hi-index	0.00

Visualization

Abstract

We study Turing computability of the nonlinear solution operator S of the Cauchy problem for the Schrödinger equation of the form idu/dt = -d2u/dx2+mu+ |u|2u in R. We prove that S is a computable operator from H1(R) to C(R;H1(R)) with respect to the canonical representations.