Spectral averaging techniques for Jacobi matrices with matrix entries

Sadel CH, Schulz-Baldes H (2009)

Publication Type: Journal article, Original article

Publication year: 2009

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Publisher: Institute of Physics: Hybrid Open Access

Book Volume: A 42

Pages Range: 185204-185217

URI: http://de.arxiv.org/abs/0902.1937

DOI: 10.1088/1751-8113/42/18/185204

Abstract

A Jacobi matrix with matrix entries is a self-adjoint block tridiagonal matrix with invertible blocks on the off-diagonals. Averaging over boundary condi- tions leads to explicit formulae for the averaged spectral measure which can potentially be useful for spectral analysis. Furthermore, another variant of spectral averaging over coupling constants for these operators is presented. © 2009 IOP Publishing Ltd.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

How to cite

APA:

Sadel, C.H., & Schulz-Baldes, H. (2009). Spectral averaging techniques for Jacobi matrices with matrix entries. Journal of Physics A: Mathematical and Theoretical, A 42, 185204-185217. https://dx.doi.org/10.1088/1751-8113/42/18/185204

MLA:

Sadel, Christian Hermann, and Hermann Schulz-Baldes. "Spectral averaging techniques for Jacobi matrices with matrix entries." Journal of Physics A: Mathematical and Theoretical A 42 (2009): 185204-185217.

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