Mean-field theory based on the Jacobi hsp ≔ semidirect sum hN⋊sp(2N,R)C algebra of boson operators
DOI10.1063/1.5109944zbMath1421.81176arXiv1809.01314OpenAlexW3125346802MaRDI QIDQ5234064
João da Providência, Seiya Nishiyama
Publication date: 9 September 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.01314
Model quantum field theories (81T10) Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Canonical transformations in symplectic and contact geometry (53D22) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- The theory of Jacobi forms
- Extended supersymmetric \(\sigma \)-model based on the \(SO(2N+1)\) Lie algebra of the fermion operators
- The discrete series of \(Sp(n,\mathbb{R})\)
- On the Segal-Shale-Weil representations and harmonic polynomials
- Construction and analysis of anomaly-free supersymmetric SO(2N)/U(N) \(\sigma\)-models
- Coherent states, wavelets and their generalizations
- On the SO(2N+1) Regular Representation of Operators and Wave Functions of Fermion Many-Body Systems
- 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
- Time Dependent SO(2N+1) Theory for Unified Description of Bose and Fermi Type Collective Excitations
- Stability conditions and nuclear rotations in the Hartree-Fock theory
- Vector coherent state representation theory
- On equations of motion on compact Hermitian symmetric spaces
- Linear dynamical systems, coherent state manifolds, flows, and matrix Riccati equation
- A CONVENIENT COORDINATIZATION OF SIEGEL–JACOBI DOMAINS
- $\frac{{\rm SO}(2N)}{U(N)}$ Riccati–Hartree–Bogoliubov equation based on the SO(2N) Lie algebra of the fermion operators
- Symplectic Geometry
- Generalized Bose Operators in the Fock Space of a Single Bose Operator
- Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
- Theory of Superconductivity
- Elements of the representation theory of the Jacobi group
This page was built for publication: Mean-field theory based on the Jacobi hsp ≔ semidirect sum hN⋊sp(2N,R)C algebra of boson operators
