{"paper":{"title":"Spectral properties of two-body random matrix ensembles for boson systems with spin","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"nlin.CD","authors_text":"Manan Vyas, N.D. Chavda, V.K.B. Kota, V. Potbhare","submitted_at":"2010-10-28T19:08:47Z","abstract_excerpt":"For $m$ number of bosons, carrying spin ($\\cs=\\spin$) degree of freedom, in $\\Omega$ number of single particle orbitals, each doubly degenerate, we introduce and analyze embedded Gaussian orthogonal ensemble of random matrices generated by random two-body interactions that are spin ($S$) scalar [BEGOE(2)-$\\cs$]. Embedding algebra for the BEGOE(2)-$\\cs$ ensemble and also for BEGOE(1+2)-$\\cs$ that includes the mean-field one-body part is $U(2\\Omega) \\supset U(\\Omega) \\otimes SU(2)$ with SU(2) generating spin. A method for constructing the ensembles in fixed-($m,S$) spaces has been developed. Num"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.6054","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}