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Fourier–Bessel analysis for ordinary and graded 2×2 Hermitian matrices

1993; American Institute of Physics; Volume: 34; Issue: 6 Linguagem: Inglês

10.1063/1.530135

1527-2427

Thomas Guhr,

Quantum chaos and dynamical systems

Chainlike integrals in matrix spaces play an important part in high-energy and solid-state physics and in general random matrix theory. In the special case of ordinary and graded 2×2 Hermitian matrices, a method is proposed to integrate out all angular variables. The essence of this method is a Fourier–Bessel analysis in these matrix spaces which is formulated in this paper. Close formal similarities are found between the ordinary and the graded case. The main differences arise from the fact that the ordinary case can be reduced to the study of a vector space whereas no analogous feature is present in the graded case.