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Published in:
2001 | OriginalPaper | Chapter
Turing Computability of a Nonlinear Schrödinger Propagator
Authors : Klaus Weihrauch, Ning Zhong
Published in: Computing and Combinatorics
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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We study Turing computability of the nonlinear solution operator S of the Cauchy problem for the Schrödinger equation of the form $$ i\frac{{du}} {{dt}} = - \frac{{d^2 u}} {{dx^2 }} + mu + \left| u \right|^2 u $$ in ℝ.We prove that S is a computable operator from H1(ℝ) to C(ℝH1(ℝ))with respect to the canonical representations.