Abstract
Going beyond the embedded ensembles for spinless boson systems, it is possible to analyze BEGOE for two species boson systems in terms of bosons carrying a fictitious (\(F=\frac{1}{2}\)) spin such that the two projections of the boson correspond to the two species. With GOE embedding, this gives BEGOE(1+2)-F ensemble. Similarly, because of the interest in spinor BEC and also in the IBM-3 model of atomic nuclei, it is useful to study BEE with bosons carrying spin S=1 degree of freedom. With GOE embedding, this gives BEGOE(1+2)-S1 ensemble. Besides defining these ensembles, a method for their construction is given. Algebraic properties of these ensembles are discussed and numerical results for some of the spectral properties generated by these two ensembles are presented.
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Kota, V.K.B. (2014). Embedded GOE Ensembles for Interacting Boson Systems: BEGOE(1+2)-F and BEGOE(1+2)-S1 for Bosons with Spin. 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_10
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DOI: https://doi.org/10.1007/978-3-319-04567-2_10
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