Physics – Mathematical Physics
Scientific paper
2009-02-11
J. Phys. A: Math. Theor. 42, 185204 (2009)
Physics
Mathematical Physics
Scientific paper
10.1088/1751-8113/42/18/185204
A Jacobi matrix with matrix entries is a self-adjoint block tridiagonal
matrix with invertible blocks on the off-diagonals. Averaging over boundary
conditions leads to explicit formulas 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.
Sadel Christian
Schulz-Baldes Hermann
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