Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Physics Letters

Energy Spectrum Symmetry of Heisenberg Model in Fock Space

王安民, 朱仁贵

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

我们扩大 BCS paring 模型与同等地，到 generalone 维的 spin-1/2 海森堡的 spaced 层次当模特儿。海森堡的二著名对称当模特儿，即 permutational 和纺纱倒置对称，不再存在。然而，当一起连接这二操作时，我们发现在它的潜水艇空间 n 和 Fock 空间的潜水艇空间 L- n 之间的精力光谱的新对称。一个严密证明被介绍。

Related papers

Possible permutation symmetry in two dimensional Heisenberg Model

Riichiro Saito

Solid State Communications•Nov 1, 1989•19 citations

Energy Spectrum Symmetry of Heisenberg Model in Fock Space

Wang An-Min, Ren-Gui Zhu

We extend the BCS paring model with equally spaced energy levels to a general one-dimensional spin-1/2 Heisenberg model. The two well-known symmetries of the Heisenberg model, i.e. permutational and spin-inversion symmetries, no longer exist. However, when jointing these two operations together, we find a new symmetry of energy spectrum between its subspace n and subspace L − n of the Fock space. A rigorous proof is presented.

arXiv:cond-mat/0505499•Chinese Physics Letters•Sep 1, 2006•0 citations

一次元Heisenberg modelの二体問題 : 統計力学

重俊 桂

日本物理学会春季分科会講演予稿集•Apr 6, 1964•0 citations

Finite Heisenberg modelの統計力学(「相転移」(第2回),基研研究会報告)

Chikao Kawabata, Masuo Suzuki

•Jul 20, 1968•0 citations

Heisenberg models and a particular isotropic model

Arjan J. van der Sijs

The Heisenberg model, a quantum-mechanical analogue of the Ising model, has a large ground-state degeneracy, due to the symmetry generated by the total spin. This symmetry is also responsible for degeneracies in the rest of the spectrum. We discuss the global structure of the spectrum of Heisenberg models with arbitrary couplings, using group-theoretical methods. The Hilbert space breaks up in blocks characterized by the quantum numbers of the total spin, S and M, and each block is shown to constitute the representation space of an explicitly given irreducible representation of the symmetric group ${\mathit{S}}_{\mathit{N}}$, consisting of permutations of the N spins in the system. In the second part of the paper we consider, as a concrete application, the model where each spin is coupled to all the other spins with equal strength. Its partition function is written as a single integral, elucidating its N dependence. This provides a useful framework for studying finite-size effects. We give explicit results for the heat capacity, revealing interesting behavior just around the phase transition.

arXiv:cond-mat/9306045•Physical review. B, Condensed matter•Sep 1, 1993•10 citations

Finite Heisenberg modelの統計力学(「相転移」(第2回),基研研究会報告)

Chikao Kawabata, Masuo Suzuki

物性研究•Jul 20, 1968•0 citations
我们扩大 BCS paring 模型与同等地，到 generalone 维的 spin-1/2 海森堡的 spaced 层次当模特儿。海森堡的二著名对称当模特儿，即 permutational 和纺纱倒置对称，不再存在。然而，当一起连接这二操作时，我们发现在它的潜水艇空间 n 和 Fock 空间的潜水艇空间 L- n 之间的精力光谱的新对称。一个严密证明被介绍。
The Heisenberg model, a quantum-mechanical analogue of the Ising model, has a large ground-state degeneracy, due to the symmetry generated by the total spin. This symmetry is also responsible for degeneracies in the rest of the spectrum. We discuss the global structure of the spectrum of Heisenberg models with arbitrary couplings, using group-theoretical methods. The Hilbert space breaks up in blocks characterized by the quantum numbers of the total spin, S and M, and each block is shown to constitute the representation space of an explicitly given irreducible representation of the symmetric group SN{\mathit{S}}_{\mathit{N}}SN​, consisting of permutations of the N spins in the system. In the second part of the paper we consider, as a concrete application, the model where each spin is coupled to all the other spins with equal strength. Its partition function is written as a single integral, elucidating its N dependence. This provides a useful framework for studying finite-size effects. We give explicit results for the heat capacity, revealing interesting behavior just around the phase transition.