Modified non-Euclidean transformation on the SO(2N+2) U(N+1) Grassmannian and SO(2N + 1) random phase approximation for unified description of Bose and Fermi type collective excitations

DOI10.1142/S0219887816500432zbMath1381.81174arXiv1512.00944OpenAlexW2188147298MaRDI QIDQ2805563

Seiya Nishiyama, João da Providência

Publication date: 12 May 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00944

zbMATH Keywords

\(\mathrm{SO}(2N)\) and \(\mathrm{SO}(2N+1)\) Lie algebras\(\mathrm{SO}(2N+1)\) random phase approximationHartree-Bogoliubov formalismTD Hartree-Bogoliubov equation

Mathematics Subject Classification ID

Nuclear physics (81V35) Many-body theory; quantum Hall effect (81V70)

Cites Work

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• Extended supersymmetric \(\sigma \)-model based on the \(SO(2N+1)\) Lie algebra of the fermion operators
• Self-consistent-field method and \(\tau \)-functional method on group manifold in soliton theory: a review and new results
• The Group Theoretical Structure of Fermion Many-Body Systems Arising from the Canonical Anticommutation Relation. I: Lie Algebras of Fermion Operators and Exact Generator Coordinate Representations of State Vectors
• QUANTUM HADRODYNAMICS IN TWO DIMENSIONS

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