Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model
Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factori...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bekresheva, V. V. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2023 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2023 |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical and mathematical physics - Pleiades Publishing, 1969, 214(2023), 2 vom: Feb., Seite 231-237 |
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| Übergeordnetes Werk: |
volume:214 ; year:2023 ; number:2 ; month:02 ; pages:231-237 |
| Links: |
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| DOI / URN: |
10.1134/S0040577923020071 |
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OLC2134241004 |
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| 520 | |a Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factorization. Orthogonal projections $$P_1, \dots, P_n$$, called unitons, have finite-dimensional images $$\alpha_1, \dots, \alpha_n$$. We show that for $$1\le j\le n$$, the subspaces $$\alpha_1+\dots+\alpha_j$$ are invariant under the annihilation operator, and the annihilation operator eigenvalues coincide on these subspaces. | ||
| 650 | 4 | |a canonical uniton factorization | |
| 650 | 4 | |a noncommutative sigma model | |
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10.1134/S0040577923020071 doi (DE-627)OLC2134241004 (DE-He213)S0040577923020071-p DE-627 ger DE-627 rakwb eng 530 VZ Bekresheva, V. V. verfasserin aut Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factorization. Orthogonal projections $$P_1, \dots, P_n$$, called unitons, have finite-dimensional images $$\alpha_1, \dots, \alpha_n$$. We show that for $$1\le j\le n$$, the subspaces $$\alpha_1+\dots+\alpha_j$$ are invariant under the annihilation operator, and the annihilation operator eigenvalues coincide on these subspaces. canonical uniton factorization noncommutative sigma model Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 214(2023), 2 vom: Feb., Seite 231-237 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:214 year:2023 number:2 month:02 pages:231-237 https://doi.org/10.1134/S0040577923020071 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 214 2023 2 02 231-237 |
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10.1134/S0040577923020071 doi (DE-627)OLC2134241004 (DE-He213)S0040577923020071-p DE-627 ger DE-627 rakwb eng 530 VZ Bekresheva, V. V. verfasserin aut Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factorization. Orthogonal projections $$P_1, \dots, P_n$$, called unitons, have finite-dimensional images $$\alpha_1, \dots, \alpha_n$$. We show that for $$1\le j\le n$$, the subspaces $$\alpha_1+\dots+\alpha_j$$ are invariant under the annihilation operator, and the annihilation operator eigenvalues coincide on these subspaces. canonical uniton factorization noncommutative sigma model Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 214(2023), 2 vom: Feb., Seite 231-237 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:214 year:2023 number:2 month:02 pages:231-237 https://doi.org/10.1134/S0040577923020071 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 214 2023 2 02 231-237 |
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10.1134/S0040577923020071 doi (DE-627)OLC2134241004 (DE-He213)S0040577923020071-p DE-627 ger DE-627 rakwb eng 530 VZ Bekresheva, V. V. verfasserin aut Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factorization. Orthogonal projections $$P_1, \dots, P_n$$, called unitons, have finite-dimensional images $$\alpha_1, \dots, \alpha_n$$. We show that for $$1\le j\le n$$, the subspaces $$\alpha_1+\dots+\alpha_j$$ are invariant under the annihilation operator, and the annihilation operator eigenvalues coincide on these subspaces. canonical uniton factorization noncommutative sigma model Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 214(2023), 2 vom: Feb., Seite 231-237 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:214 year:2023 number:2 month:02 pages:231-237 https://doi.org/10.1134/S0040577923020071 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 214 2023 2 02 231-237 |
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10.1134/S0040577923020071 doi (DE-627)OLC2134241004 (DE-He213)S0040577923020071-p DE-627 ger DE-627 rakwb eng 530 VZ Bekresheva, V. V. verfasserin aut Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factorization. Orthogonal projections $$P_1, \dots, P_n$$, called unitons, have finite-dimensional images $$\alpha_1, \dots, \alpha_n$$. We show that for $$1\le j\le n$$, the subspaces $$\alpha_1+\dots+\alpha_j$$ are invariant under the annihilation operator, and the annihilation operator eigenvalues coincide on these subspaces. canonical uniton factorization noncommutative sigma model Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 214(2023), 2 vom: Feb., Seite 231-237 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:214 year:2023 number:2 month:02 pages:231-237 https://doi.org/10.1134/S0040577923020071 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 214 2023 2 02 231-237 |
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10.1134/S0040577923020071 doi (DE-627)OLC2134241004 (DE-He213)S0040577923020071-p DE-627 ger DE-627 rakwb eng 530 VZ Bekresheva, V. V. verfasserin aut Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factorization. Orthogonal projections $$P_1, \dots, P_n$$, called unitons, have finite-dimensional images $$\alpha_1, \dots, \alpha_n$$. We show that for $$1\le j\le n$$, the subspaces $$\alpha_1+\dots+\alpha_j$$ are invariant under the annihilation operator, and the annihilation operator eigenvalues coincide on these subspaces. canonical uniton factorization noncommutative sigma model Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 214(2023), 2 vom: Feb., Seite 231-237 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:214 year:2023 number:2 month:02 pages:231-237 https://doi.org/10.1134/S0040577923020071 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 214 2023 2 02 231-237 |
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structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model |
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Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model |
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Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factorization. Orthogonal projections $$P_1, \dots, P_n$$, called unitons, have finite-dimensional images $$\alpha_1, \dots, \alpha_n$$. We show that for $$1\le j\le n$$, the subspaces $$\alpha_1+\dots+\alpha_j$$ are invariant under the annihilation operator, and the annihilation operator eigenvalues coincide on these subspaces. © Pleiades Publishing, Ltd. 2023 |
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Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factorization. Orthogonal projections $$P_1, \dots, P_n$$, called unitons, have finite-dimensional images $$\alpha_1, \dots, \alpha_n$$. We show that for $$1\le j\le n$$, the subspaces $$\alpha_1+\dots+\alpha_j$$ are invariant under the annihilation operator, and the annihilation operator eigenvalues coincide on these subspaces. © Pleiades Publishing, Ltd. 2023 |
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Abstract It is known that each solution $$\Phi$$ with a nonzero finite energy can be represented up to a multiplicative constant as a composition of finitely many reflections of the special form $$\Phi = e^{i\theta}(I-2P_1) \dots (I-2P_n)$$. This representation is called the canonical uniton factorization. Orthogonal projections $$P_1, \dots, P_n$$, called unitons, have finite-dimensional images $$\alpha_1, \dots, \alpha_n$$. We show that for $$1\le j\le n$$, the subspaces $$\alpha_1+\dots+\alpha_j$$ are invariant under the annihilation operator, and the annihilation operator eigenvalues coincide on these subspaces. © Pleiades Publishing, Ltd. 2023 |
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