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Functional Methods for the Solution of One-Dimensional Quantum Systems: Fusion Hierarchy, Functional Bethe Ansatz and Non-Linear Integral Equations - Softcover
Synopsis
The framework of the Quantum Inverse Scattering Method is used to study the hamiltonian of the XXX and XXZ spin chain with general boundary fields. Key ingredient is the underlying algebraic structure which is a combination of the Yang-Baxter algebra and a so-called Reflection algebra including boundary fields of arbitrary direction and strength. For spin chains with diagonal boundary fields this setup has been well studied using algebraic Bethe ansatz and the inverse problem was solved by Kitanine for infinite chain lengths. These results are picked up and generalized to arbitrary lengths using non-linear integral equations. In the case of non-diagonal boundary fields the lack of a reference state or pseudo vacuum prohibits the solution by algebraic Bethe ansatz. The method of separation of variables is not constrained in that sense and is applied to the XXX chain and a spin-boson model. Finally a different approach to the case of non-diagonal boundary conditions is studied. Starting from the so-called fusion hierarchy non-linear integral equations are derived bearing the possibility to extract information about an eigenvalue of a specific state.
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About the Author
Tobias Wirth studied physics in Hannover (Germany) and received a Ph.D. in theoretical solid state physics at the Leibniz Universität Hannover in 2010.
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- PublisherSüdwestdeutscher Verlag für Hochschulschriften
- Publication date2011
- ISBN 10 3838123875
- ISBN 13 9783838123875
- BindingPaperback
- LanguageEnglish
- Number of pages124
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Functional Methods for the Solution of One-Dimensional Quantum Systems
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Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jun 2015, 2015
ISBN 10: 3838123875
ISBN 13: 9783838123875
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The framework of the Quantum Inverse Scattering Method is used to study the hamiltonian of the XXX and XXZ spin chain with general boundary fields. Key ingredient is the underlying algebraic structure which is a combination of the Yang-Baxter algebra and a so-called Reflection algebra including boundary fields of arbitrary direction and strength. For spin chains with diagonal boundary fields this setup has been well studied using algebraic Bethe ansatz and the inverse problem was solved by Kitanine for infinite chain lengths. These results are picked up and generalized to arbitrary lengths using non-linear integral equations. In the case of non-diagonal boundary fields the lack of a reference state or pseudo vacuum prohibits the solution by algebraic Bethe ansatz. The method of separation of variables is not constrained in that sense and is applied to the XXX chain and a spin-boson model. Finally a different approach to the case of non-diagonal boundary conditions is studied. Starting from the so-called fusion hierarchy non-linear integral equations are derived bearing the possibility to extract information about an eigenvalue of a specific state. 124 pp. Englisch. Seller Inventory # 9783838123875
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Functional Methods for the Solution of One-Dimensional Quantum Systems : Fusion Hierarchy, Functional Bethe Ansatz and Non-Linear Integral Equations
Published by
Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG, 2011
ISBN 10: 3838123875
ISBN 13: 9783838123875
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The framework of the Quantum Inverse Scattering Method is used to study the hamiltonian of the XXX and XXZ spin chain with general boundary fields. Key ingredient is the underlying algebraic structure which is a combination of the Yang-Baxter algebra and a so-called Reflection algebra including boundary fields of arbitrary direction and strength. For spin chains with diagonal boundary fields this setup has been well studied using algebraic Bethe ansatz and the inverse problem was solved by Kitanine for infinite chain lengths. These results are picked up and generalized to arbitrary lengths using non-linear integral equations. In the case of non-diagonal boundary fields the lack of a reference state or pseudo vacuum prohibits the solution by algebraic Bethe ansatz. The method of separation of variables is not constrained in that sense and is applied to the XXX chain and a spin-boson model. Finally a different approach to the case of non-diagonal boundary conditions is studied. Starting from the so-called fusion hierarchy non-linear integral equations are derived bearing the possibility to extract information about an eigenvalue of a specific state. Seller Inventory # 9783838123875
Quantity: 1 available
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Functional Methods for the Solution of One-Dimensional Quantum Systems
Published by
Südwestdeutscher Verlag für Hochschulschriften, 2011
ISBN 10: 3838123875
ISBN 13: 9783838123875
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Seller: moluna, Greven, Germany
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Wirth TobiasTobias Wirth studied physics in Hannover (Germany) and received aPh.D. in theoretical solid state physics at the LeibnizUniversitaet Hannover in 2010.The framework of the Quantum Inverse Scattering Method is used to st. Seller Inventory # 5406730
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