On the SO(2N+1) Regular Representation of Operators and Wave Functions of Fermion Many-Body Systems
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Publication:2749982
DOI10.1143/PTP.58.1692zbMath1098.81530OpenAlexW2077187390MaRDI QIDQ2749982
Publication date: 18 October 2001
Published in: Progress of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1143/ptp.58.1692
Related Items (6)
Finite dimensional systems of free fermions and diffusion processes on spin groups ⋮ A NEW DESCRIPTION OF MOTION OF THE FERMIONIC SO(2N+2) TOP IN THE CLASSICAL LIMIT UNDER THE QUASI-ANTICOMMUTATION RELATION APPROXIMATION ⋮ Anomaly-free supersymmetric \(\frac{{{\text{SO}}\left( {2N + 2} \right)}}{{{\text{U}}\left( {N + 1} \right)}} \) {\(\sigma\)}-model based on the SO(2\(N\) + 1) Lie algebra of the fermion operators ⋮ Nonlinear Bogolyubov-Valatin transformations: two modes ⋮ Mean-field theory based on the Jacobi hsp ≔ semidirect sum hN⋊sp(2N,R)C algebra of boson operators ⋮ $\frac{{\rm SO}(2N)}{U(N)}$ Riccati–Hartree–Bogoliubov equation based on the SO(2N) Lie algebra of the fermion operators
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