Vector coherent states of \(\mathrm{Sp}(2n,\mathbb{R})\) Lie algebra for XYZ antiferromagnetic Heisenberg model
DOI10.1007/s10773-012-1417-yzbMath1268.81091OpenAlexW2088881810WikidataQ115383763 ScholiaQ115383763MaRDI QIDQ1955888
Shuo Jin, Bing-Hao Xie, Zhao-Xian Yu
Publication date: 19 June 2013
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-012-1417-y
vector coherent statesXYZ Heisenberg modelSo\((3,2)\) algebraSp\((2n,R)\) Lie algebraSu\((1,2)\) algebra
Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30)
Cites Work
- Unnamed Item
- Algebra solutions of antiferromagnet-antiferromagnet-ferromagnet quantum Heisenberg chains related to Sp(6,R) Lie algebra
- A simple independent-particle system having collective properties
- Exact solutions ofn-coupled harmonic oscillators related toSp(2n,R) Lie algebra
- Analytic expressions for the matrix elements of generators of Sp(6) in an Sp(6)⊇U(3) basis
- Vector coherent state theory and its application to the orthogonal groups
- su(1,2) Algebraic Structure of XYZ Antiferromagnetic Model in Linear Spin-Wave Frame
- On Bahadur Efficiency of the Joint-Ranking Procedure
- Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
- Limits on the Energy of the Antiferromagnetic Ground State
- The Spin-Wave Theory of Antiferromagnetics
This page was built for publication: Vector coherent states of \(\mathrm{Sp}(2n,\mathbb{R})\) Lie algebra for XYZ antiferromagnetic Heisenberg model