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

Physica B Condensed Matter

Spin-Hamiltonians by means of hierarchies of group-indexed algebras (II) The eigenstates and matrix elements of the spin-Hamiltonian in the frame of the hierarchy of algebras

Stavros Thanos

Published Sep 1, 1994• 11 citations
Publisher
DOI
10.1016/0921-4526(94)00012-3

Related papers

Spin-Hamiltonians by means of hierarchies of group-indexed algebras: (I) The hierarchy of algebras

A. K. Theophilou, Stavros Thanos

Physica B Condensed Matter•Sep 1, 1994•11 citations

Matrix elements of unitary group generators in many-fermion correlation problem. II. Graphical methods of spin algebras

Josef Paldus

Journal of Mathematical Chemistry•Sep 25, 2020•17 citations

Quantum Spin Systems and Their Operator Algebras

Pedro de M. Rios, Eldar Straume

Springer eBooks•Jan 1, 2014•0 citations

From Symmetries to Commutant Algebras in Standard Hamiltonians

Sanjay Moudgalya, Olexei I. Motrunich

arXiv:2209.03370•Annals of Physics•Jan 1, 2023•36 citations

Symmetric‐group algebraic variational solutions for Heisenberg models at finite temperature

Douglas J. Klein, W. A. Seitz

Abstract The Heisenberg spin Hamiltonian for a collection of N spin‐1/2 sites is viewed, as favored by Professor Matsen, to be an element of the group algebra of the symmetric group 𝒮N. Several computationally tractable, variational group–algebraic approximations for the finite‐temperature density matrix are made so as to minimize the Gibb's free–energy functional. Relations to previous quite differently motivated approximations are identified, though improvements are noted with the present approach.

International Journal of Quantum Chemistry•Jan 5, 1992•6 citations

Representations of the Rotationally Invariant Algebra of Quantum Spin Systems.

Masahico Saito

•Jan 1, 1979•3 citations
Abstract The Heisenberg spin Hamiltonian for a collection of N spin‐1/2 sites is viewed, as favored by Professor Matsen, to be an element of the group algebra of the symmetric group 𝒮N. Several computationally tractable, variational group–algebraic approximations for the finite‐temperature density matrix are made so as to minimize the Gibb's free–energy functional. Relations to previous quite differently motivated approximations are identified, though improvements are noted with the present approach.