Vector Coherent States of Sp(2n,R) Lie algebra for XYZ Antiferromagnetic Heisenberg Model

Shuo Jin; Bing Hao Xie; Zhao Xian Yu

doi:10.1007/s10773-012-1417-y

Vector Coherent States of Sp(2n,R) Lie algebra for XYZ Antiferromagnetic Heisenberg Model

Shuo Jin^*
, Bing Hao Xie
, Zhao Xian Yu

^*Corresponding author for this work

School of Physics

Beijing Information Science & Technology University

Research output: Contribution to journal › Article › peer-review

Abstract

XYZ antiferromagnetic Heisenberg chains and the one in a magnetic field models under linear spin-wave frame are shown explicitly to possess Su(1,2) and So(3,2) algebraic structures respectively. Their algebra solutions related to Sp(2n,R) Lie algebra are derived. The energy spectra of these two models are determined by one-boson excitation energies, which are built on vector coherent states of Sp(6,R)⊃U(1,2) and Sp(8,R)⊃O(3,2), respectively.

Original language	English
Pages (from-to)	1033-1042
Number of pages	10
Journal	International Journal of Theoretical Physics
Volume	52
Issue number	4
DOIs	https://doi.org/10.1007/s10773-012-1417-y
State	Published - Apr 2013

Keywords

So(3,2) algebra
Sp(2n,R) Lie algebra
Su(1,2) algebra
Vector coherent states
XYZ Heisenberg model

Access to Document

10.1007/s10773-012-1417-y

Cite this

@article{9413233da8fc4fafb6f304e724cacfd7,

title = "Vector Coherent States of Sp(2n,R) Lie algebra for XYZ Antiferromagnetic Heisenberg Model",

abstract = "XYZ antiferromagnetic Heisenberg chains and the one in a magnetic field models under linear spin-wave frame are shown explicitly to possess Su(1,2) and So(3,2) algebraic structures respectively. Their algebra solutions related to Sp(2n,R) Lie algebra are derived. The energy spectra of these two models are determined by one-boson excitation energies, which are built on vector coherent states of Sp(6,R)⊃U(1,2) and Sp(8,R)⊃O(3,2), respectively.",

keywords = "So(3,2) algebra, Sp(2n,R) Lie algebra, Su(1,2) algebra, Vector coherent states, XYZ Heisenberg model",

author = "Shuo Jin and Xie, \{Bing Hao\} and Yu, \{Zhao Xian\}",

year = "2013",

month = apr,

doi = "10.1007/s10773-012-1417-y",

language = "英语",

volume = "52",

pages = "1033--1042",

journal = "International Journal of Theoretical Physics",

issn = "0020-7748",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - Vector Coherent States of Sp(2n,R) Lie algebra for XYZ Antiferromagnetic Heisenberg Model

AU - Jin, Shuo

AU - Xie, Bing Hao

AU - Yu, Zhao Xian

PY - 2013/4

Y1 - 2013/4

N2 - XYZ antiferromagnetic Heisenberg chains and the one in a magnetic field models under linear spin-wave frame are shown explicitly to possess Su(1,2) and So(3,2) algebraic structures respectively. Their algebra solutions related to Sp(2n,R) Lie algebra are derived. The energy spectra of these two models are determined by one-boson excitation energies, which are built on vector coherent states of Sp(6,R)⊃U(1,2) and Sp(8,R)⊃O(3,2), respectively.

AB - XYZ antiferromagnetic Heisenberg chains and the one in a magnetic field models under linear spin-wave frame are shown explicitly to possess Su(1,2) and So(3,2) algebraic structures respectively. Their algebra solutions related to Sp(2n,R) Lie algebra are derived. The energy spectra of these two models are determined by one-boson excitation energies, which are built on vector coherent states of Sp(6,R)⊃U(1,2) and Sp(8,R)⊃O(3,2), respectively.

KW - So(3,2) algebra

KW - Sp(2n,R) Lie algebra

KW - Su(1,2) algebra

KW - Vector coherent states

KW - XYZ Heisenberg model

UR - https://www.scopus.com/pages/publications/84874340268

U2 - 10.1007/s10773-012-1417-y

DO - 10.1007/s10773-012-1417-y

M3 - 文章

AN - SCOPUS:84874340268

SN - 0020-7748

VL - 52

SP - 1033

EP - 1042

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 4

ER -

Vector Coherent States of Sp(2n,R) Lie algebra for XYZ Antiferromagnetic Heisenberg Model

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this