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A minimal approach for the local statistical properties of a one-dimensional disordered wire
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UNSPECIFIED (2005) A minimal approach for the local statistical properties of a one-dimensional disordered wire. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 38 (25). pp. 5751-5760. doi:10.1088/0305-4470/38/25/010 ISSN 0305-4470.
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Official URL: http://dx.doi.org/10.1088/0305-4470/38/25/010
Abstract
We consider a one-dimensional wire in Gaussian random potential. By treating the spatial direction as imaginary time, we construct a 'minimal' zero-dimensional quantum system such that the local statistical properties of the wire are given as products of statistically independent matrix elements of the evolution operator of the system. The space of states of this quantum system is found to be a particular non-unitary, infinite-dimensional representation of the pseudo-unitary group, U(1, 1). We show that our construction is minimal in a well-defined sense, and compare it to the supersymmetry and Berezinskii techniques.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | ||||
Publisher: | IOP PUBLISHING LTD | ||||
ISSN: | 0305-4470 | ||||
Official Date: | 24 June 2005 | ||||
Dates: |
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Volume: | 38 | ||||
Number: | 25 | ||||
Number of Pages: | 10 | ||||
Page Range: | pp. 5751-5760 | ||||
DOI: | 10.1088/0305-4470/38/25/010 | ||||
Publication Status: | Published |
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