Where are the roots of the Bethe Ansatz equations?
Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Vieira, R.S. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015transfer abstract |
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| Schlagwörter: |
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| Umfang: |
4 |
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| Übergeordnetes Werk: |
Enthalten in: Transient response and failure of medium density fibreboard panels subjected to air-blast loading - Langdon, G.S. ELSEVIER, 2021, Amsterdam |
|---|---|
| Übergeordnetes Werk: |
volume:379 ; year:2015 ; number:37 ; day:2 ; month:10 ; pages:2150-2153 ; extent:4 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.physleta.2015.07.016 |
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ELV039785831 |
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| 520 | |a Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. | ||
| 520 | |a Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. | ||
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10.1016/j.physleta.2015.07.016 doi GBVA2015012000014.pica (DE-627)ELV039785831 (ELSEVIER)S0375-9601(15)00618-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 51.75 bkl Vieira, R.S. verfasserin aut Where are the roots of the Bethe Ansatz equations? 2015transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Algebraic Bethe Ansatz Elsevier Salem polynomials Elsevier Self-inversive polynomials Elsevier Bethe Ansatz equations Elsevier Lima-Santos, A. oth Enthalten in North-Holland Publ Langdon, G.S. ELSEVIER Transient response and failure of medium density fibreboard panels subjected to air-blast loading 2021 Amsterdam (DE-627)ELV006407811 volume:379 year:2015 number:37 day:2 month:10 pages:2150-2153 extent:4 https://doi.org/10.1016/j.physleta.2015.07.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.75 Verbundwerkstoffe Schichtstoffe VZ AR 379 2015 37 2 1002 2150-2153 4 045F 530 |
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10.1016/j.physleta.2015.07.016 doi GBVA2015012000014.pica (DE-627)ELV039785831 (ELSEVIER)S0375-9601(15)00618-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 51.75 bkl Vieira, R.S. verfasserin aut Where are the roots of the Bethe Ansatz equations? 2015transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Algebraic Bethe Ansatz Elsevier Salem polynomials Elsevier Self-inversive polynomials Elsevier Bethe Ansatz equations Elsevier Lima-Santos, A. oth Enthalten in North-Holland Publ Langdon, G.S. ELSEVIER Transient response and failure of medium density fibreboard panels subjected to air-blast loading 2021 Amsterdam (DE-627)ELV006407811 volume:379 year:2015 number:37 day:2 month:10 pages:2150-2153 extent:4 https://doi.org/10.1016/j.physleta.2015.07.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.75 Verbundwerkstoffe Schichtstoffe VZ AR 379 2015 37 2 1002 2150-2153 4 045F 530 |
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10.1016/j.physleta.2015.07.016 doi GBVA2015012000014.pica (DE-627)ELV039785831 (ELSEVIER)S0375-9601(15)00618-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 51.75 bkl Vieira, R.S. verfasserin aut Where are the roots of the Bethe Ansatz equations? 2015transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Algebraic Bethe Ansatz Elsevier Salem polynomials Elsevier Self-inversive polynomials Elsevier Bethe Ansatz equations Elsevier Lima-Santos, A. oth Enthalten in North-Holland Publ Langdon, G.S. ELSEVIER Transient response and failure of medium density fibreboard panels subjected to air-blast loading 2021 Amsterdam (DE-627)ELV006407811 volume:379 year:2015 number:37 day:2 month:10 pages:2150-2153 extent:4 https://doi.org/10.1016/j.physleta.2015.07.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.75 Verbundwerkstoffe Schichtstoffe VZ AR 379 2015 37 2 1002 2150-2153 4 045F 530 |
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10.1016/j.physleta.2015.07.016 doi GBVA2015012000014.pica (DE-627)ELV039785831 (ELSEVIER)S0375-9601(15)00618-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 51.75 bkl Vieira, R.S. verfasserin aut Where are the roots of the Bethe Ansatz equations? 2015transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Algebraic Bethe Ansatz Elsevier Salem polynomials Elsevier Self-inversive polynomials Elsevier Bethe Ansatz equations Elsevier Lima-Santos, A. oth Enthalten in North-Holland Publ Langdon, G.S. ELSEVIER Transient response and failure of medium density fibreboard panels subjected to air-blast loading 2021 Amsterdam (DE-627)ELV006407811 volume:379 year:2015 number:37 day:2 month:10 pages:2150-2153 extent:4 https://doi.org/10.1016/j.physleta.2015.07.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.75 Verbundwerkstoffe Schichtstoffe VZ AR 379 2015 37 2 1002 2150-2153 4 045F 530 |
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10.1016/j.physleta.2015.07.016 doi GBVA2015012000014.pica (DE-627)ELV039785831 (ELSEVIER)S0375-9601(15)00618-0 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 51.75 bkl Vieira, R.S. verfasserin aut Where are the roots of the Bethe Ansatz equations? 2015transfer abstract 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. Algebraic Bethe Ansatz Elsevier Salem polynomials Elsevier Self-inversive polynomials Elsevier Bethe Ansatz equations Elsevier Lima-Santos, A. oth Enthalten in North-Holland Publ Langdon, G.S. ELSEVIER Transient response and failure of medium density fibreboard panels subjected to air-blast loading 2021 Amsterdam (DE-627)ELV006407811 volume:379 year:2015 number:37 day:2 month:10 pages:2150-2153 extent:4 https://doi.org/10.1016/j.physleta.2015.07.016 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.75 Verbundwerkstoffe Schichtstoffe VZ AR 379 2015 37 2 1002 2150-2153 4 045F 530 |
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Enthalten in Transient response and failure of medium density fibreboard panels subjected to air-blast loading Amsterdam volume:379 year:2015 number:37 day:2 month:10 pages:2150-2153 extent:4 |
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Transient response and failure of medium density fibreboard panels subjected to air-blast loading |
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530 530 DE-600 670 VZ 51.75 bkl Where are the roots of the Bethe Ansatz equations? Algebraic Bethe Ansatz Elsevier Salem polynomials Elsevier Self-inversive polynomials Elsevier Bethe Ansatz equations Elsevier |
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Transient response and failure of medium density fibreboard panels subjected to air-blast loading |
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Transient response and failure of medium density fibreboard panels subjected to air-blast loading |
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Where are the roots of the Bethe Ansatz equations? |
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Vieira, R.S. |
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Transient response and failure of medium density fibreboard panels subjected to air-blast loading |
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where are the roots of the bethe ansatz equations? |
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Where are the roots of the Bethe Ansatz equations? |
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Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. |
| abstractGer |
Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. |
| abstract_unstemmed |
Changing the variables in the Bethe Ansatz Equations (bae) for the xxz six-vertex model we had obtained a coupled system of polynomial equations. This provided a direct link between the bae deduced from the Algebraic Bethe Ansatz (aba) and the bae arising from the Coordinate Bethe Ansatz (cba). For two magnon states this polynomial system could be decoupled and the solutions given in terms of the roots of some self-inversive polynomials. From theorems concerning the distribution of the roots of self-inversive polynomials we made a thorough analysis of the two magnon states, which allowed us to find the location and multiplicity of the Bethe roots in the complex plane, to discuss the completeness and singularities of Bethe's equations, the ill-founded string-hypothesis concerning the location of their roots, as well as to find an interesting connection between the bae with Salem’s polynomials. |
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Where are the roots of the Bethe Ansatz equations? |
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