Completeness of non-normalizable modes

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چکیده

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ar X iv : h ep - t h / 06 07 09 0 v 1 13 J ul 2 00 6 Completeness of non - normalizable modes

Abstract We establish the completeness of some characteristic sets of non-normalizable modes by constructing fully localized square steps out of them, with each such construction expressly displaying the Gibbs phenomenon associated with trying to use a complete basis of modes to fit functions with discontinuous edges. As well as being of interest in and of itself, our study is also of interest ...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 2006

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/39/44/012