Related papers: The L^p-continuity of the wave operators for the t…

This paper has been withdrawn by the author in favor of a stronger result proven by the author with R. Frank and T. Weidl in arXiv:0707.0998

This paper has been withdrawn since the results are not satisfied.

This paper has been withdrawn by the author due to crucial sign error in Lemma 8.1.

This paper has been withdrawn by the author due to some error in the result

We prove existence of modified wave operators for one-dimensional Schr\"odinger equations with potential in $L^p(\reals)$, $p<2$. If in addition the potential is conditionally integrable, then the usual M\"oller wave operators exist. We…

This article is withdrawn because of a mistake in the main result of the paper.

This paper has been withdrawn due to a error in Theorem 3.1.

This paper has been withdrawn because of serious errors.

The paper has been withdrawn due to a crucial error in section 3.

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

This paper has been withdrawn due to an error in the proof of the main theorem.

This paper has been withdrawn by the author due to a error in attachment of source file.

This paper has been withdrawn by the authors due to a mistake in the proof of Theorem 1.

This paper has been withdrawn by the authors due to errors in the X-ray diffraction data. Other measured data are not affected; however, the errors significantly change the interpretation and conclusions, and thus warrant withdrawal and…

This paper has been withdrawn by the author due to a crucial problem in Lemma 3. This equation must be changed.

Major mistake. The paper has been withdrawn.

The paper has been temporarily withdrawn.

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

The paper has been withdrawn because the proof of part (b) of the main theorem is incomplete.

This paper has been withdrawn by the author due to a crucial error in the submission action.