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Further Extended Embedded Ensembles

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Embedded Random Matrix Ensembles in Quantum Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 884))

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Abstract

Going beyond the embedded ensembles considered in Chaps. 4–12, various other physically relevant extended embedded ensembles, that are explored analytically to a very limited extent in literature and studied numerically in some detail, are briefly described. These are: (i) EGOE(1+2)-(j 1,j 2,…,j r :J) ensemble with fermions in j-orbits and Hamiltonians preserving many fermion angular momentum J symmetry as appropriate for atoms and atomic nuclei; (ii) BEGOE(1+2)-(ℓ 1,ℓ 2,…,ℓ r :L) ensembles for interacting boson systems with bosons in ℓ-orbits and preserving many boson angular momentum L; (iii) Partitioned EGOE and K+EGOE ensembles considered in nuclear structure.

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  1. Physical Research Laboratory, Ahmedabad, India

    V. K. B. Kota

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Kota, V.K.B. (2014). Further Extended Embedded Ensembles. In: Embedded Random Matrix Ensembles in Quantum Physics. Lecture Notes in Physics, vol 884. Springer, Cham. https://doi.org/10.1007/978-3-319-04567-2_13

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