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There have been comments on the starting paper, hep-th/0106074, which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, to give more clear presentation, this paper is withdrawn.
This paper has been withdrawn
This paper has been withdrawn by the author due to a necessity of further editing. (Will be resubmitted here or elsewhere in editted form.)
This paper has been withdrawn by the author(s) for revision.
This paper has been withdrawn
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors.
This paper has been withdrawn by the author(s), due the following reasons. A similar system for a different purpose has already been studied in Phys.Rev.D60:083001,1999 (astro-ph/9904315). Moreover, our analysis was wrong because we have…
This paper has been withdrawn
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
This paper has been withdrawn by the author due to its main result being included in cond-mat/0403309 by the same author.
This paper has been withdrawn. It was an early draft submitted prematurely in error. A complete version is to be submitted shortly.
This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.
This paper has been withdrawn by the authors.
This paper has been withdrawn by the authors.
This paper has been withdrawn by the author
This paper has been withdrawn by the author.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author due to a crucial error in equation.
This paper has been withdrawn by the author.