Positive energy representations for quantum spin models in 1+1 dimensions

Taku Matsui

Banach Center Publications (1998)

  • Volume: 43, Issue: 1, page 309-320
  • ISSN: 0137-6934

Abstract

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We present recent results on positive energy representations of quantum spin models.

How to cite

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Matsui, Taku. "Positive energy representations for quantum spin models in 1+1 dimensions." Banach Center Publications 43.1 (1998): 309-320. <http://eudml.org/doc/208851>.

@article{Matsui1998,
abstract = {We present recent results on positive energy representations of quantum spin models.},
author = {Matsui, Taku},
journal = {Banach Center Publications},
keywords = {-dynamical system; positive energy representation; quantum models; quantum lattice model},
language = {eng},
number = {1},
pages = {309-320},
title = {Positive energy representations for quantum spin models in 1+1 dimensions},
url = {http://eudml.org/doc/208851},
volume = {43},
year = {1998},
}

TY - JOUR
AU - Matsui, Taku
TI - Positive energy representations for quantum spin models in 1+1 dimensions
JO - Banach Center Publications
PY - 1998
VL - 43
IS - 1
SP - 309
EP - 320
AB - We present recent results on positive energy representations of quantum spin models.
LA - eng
KW - -dynamical system; positive energy representation; quantum models; quantum lattice model
UR - http://eudml.org/doc/208851
ER -

References

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  11. [11] R. Haag, Local Quantum Physics, Springer-Verlag, 1992. Zbl0777.46037
  12. [12] T. Koma and B. Nachtergaele, The spectral gap of the ferromagnetic XXZ chain, Lett. Math. Phys. 40 (1997), 1-16. Zbl0880.60103
  13. [13] T. Koma and B. Nachtergaele, preprint. 
  14. [14] T. Matsui, Translationally Symmetry Breaking and Soliton Sectors for Massive Quantum Spin Models in 1+1 Dimensions, Commun. Math. Phys. 189 (1997), 127-144. Zbl0898.46059
  15. [15] T. Matsui, On the spectrum of the kink of the ferromagnetic XXZ model, to appear in Lett. Math. Phys. Zbl0892.60099
  16. [16] T. Matsui, On ground states of the one-dimensional ferromagnetic XXZ model, Lett. Math. Phys. 37 (1996), 397-403. Zbl0855.46048
  17. [17] D. Schlingemann, On algebraic theory of soliton and anti-soliton sectors, Rev. Math. Phys. 8 (1996), 301-326. Zbl0862.46049

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