Towards a general solution to the linear Heisenberg problem

W.J. Caspers; T. Lulek; B. Lulek; A. Wal

doi:10.1142/9789812704474_0018

Towards a general solution to the linear Heisenberg problem

W.J. Caspers, T. Lulek, B. Lulek, A. Wal

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

The construction of a complete set of stationary states of the linear Heisenberg system with periodic boundary conditions (rings) has been a topic of intensive research for many decades. Many eminent theoreticians have made their contribution to this joint eort, but we should mention in the rst place the epoch-making work of Bethe 1 and Hulthen. 5 Their work is the basis of many papers on this topic that have appeared during the past 70 years. We do no have the intention to give a complete survey of all this work but we will try to indicate that especially an asymptotic approach starting from the Hypothesis of Strings gives the prospect of a general and complete solution of the Heisenberg chain.

Original language	English
Title of host publication	Symmetry and Structural Properties of Condensed Matter
Subtitle of host publication	Proceedings of the 7th International School on Theoretical Physics
Editors	T. Lulek, B. Lulek, A. Wal
Publisher	World Scientific
Pages	224-240
ISBN (Electronic)	978-981-4486-67-5
ISBN (Print)	978-981-238-272-6
DOIs	https://doi.org/10.1142/9789812704474_0018
Publication status	Published - 2003
Event	7th international School on Theoretical Physics - Mycskowce, Poland Duration: 11 Sept 2002 → 18 Sept 2002 Conference number: 7

Conference

Conference	7th international School on Theoretical Physics
Country/Territory	Poland
City	Mycskowce
Period	11/09/02 → 18/09/02

Access to Document

10.1142/9789812704474_0018

Cite this

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title = "Towards a general solution to the linear Heisenberg problem",

abstract = "The construction of a complete set of stationary states of the linear Heisenberg system with periodic boundary conditions (rings) has been a topic of intensive research for many decades. Many eminent theoreticians have made their contribution to this joint eort, but we should mention in the rst place the epoch-making work of Bethe 1 and Hulthen. 5 Their work is the basis of many papers on this topic that have appeared during the past 70 years. We do no have the intention to give a complete survey of all this work but we will try to indicate that especially an asymptotic approach starting from the Hypothesis of Strings gives the prospect of a general and complete solution of the Heisenberg chain.",

author = "W.J. Caspers and T. Lulek and B. Lulek and A. Wal",

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booktitle = "Symmetry and Structural Properties of Condensed Matter",

publisher = "World Scientific",

address = "United States",

note = "7th international School on Theoretical Physics ; Conference date: 11-09-2002 Through 18-09-2002",

}

Caspers, WJ, Lulek, T, Lulek, B & Wal, A 2003, Towards a general solution to the linear Heisenberg problem. in T Lulek, B Lulek & A Wal (eds), Symmetry and Structural Properties of Condensed Matter: Proceedings of the 7th International School on Theoretical Physics. World Scientific, pp. 224-240, 7th international School on Theoretical Physics, Mycskowce, Poland, 11/09/02. https://doi.org/10.1142/9789812704474_0018

Towards a general solution to the linear Heisenberg problem. / Caspers, W.J.; Lulek, T.; Lulek, B. et al.
Symmetry and Structural Properties of Condensed Matter: Proceedings of the 7th International School on Theoretical Physics. ed. / T. Lulek; B. Lulek; A. Wal. World Scientific, 2003. p. 224-240.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - The construction of a complete set of stationary states of the linear Heisenberg system with periodic boundary conditions (rings) has been a topic of intensive research for many decades. Many eminent theoreticians have made their contribution to this joint eort, but we should mention in the rst place the epoch-making work of Bethe 1 and Hulthen. 5 Their work is the basis of many papers on this topic that have appeared during the past 70 years. We do no have the intention to give a complete survey of all this work but we will try to indicate that especially an asymptotic approach starting from the Hypothesis of Strings gives the prospect of a general and complete solution of the Heisenberg chain.

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