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Applications of EGOE(1+2) and EGOE(1+2)-s

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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

This chapter is devoted to applications of EGOE(1+2) and EGOE(1+2)-s to nuclei and mesoscopic systems. For example, simple applications to quantum dots and small metallic grains include: (i) delay in Stoner instability due to random interactions; (ii) odd-even staggering in ground state energies; (iii) distribution of conductance peak spacings. Similarly, the spin dependent chaos markers provide a stronger basis for statistical nuclear spectroscopy and presented in this topic are: (i) theory for smoothed level densities and occupancies in nuclei with interactions; (ii) simple form for transition strengths generated by one-body transition operators; (iii) binary correlation results showing that the transition strength density, for operators like those that generate neutrinoless double beta decay transition matrix elements, will take bivariate Gaussian form.

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  1. Physical Research Laboratory, Ahmedabad, India

    V. K. B. Kota

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Kota, V.K.B. (2014). Applications of EGOE(1+2) and EGOE(1+2)-s . 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_7

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