On the normal ordering of multi-mode boson operators
Abstract Combinatorial aspects of normal ordering for annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the n...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mansour, T. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2008 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2008 |
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| Übergeordnetes Werk: |
Enthalten in: Russian journal of mathematical physics - Nauka/Interperiodica, 1993, 15(2008), 1 vom: März, Seite 77-88 |
|---|---|
| Übergeordnetes Werk: |
volume:15 ; year:2008 ; number:1 ; month:03 ; pages:77-88 |
| Links: |
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| DOI / URN: |
10.1134/S1061920808010093 |
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OLC204926982X |
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| 520 | |a Abstract Combinatorial aspects of normal ordering for annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the normal ordering in the multi-mode case, for each mode, a color is introduced, and colored contractions are considered. A depiction for colored contractions via colored linear representations is given. By analogy with the single-mode case, associated colored Stirling numbers are defined as coefficients appearing in the process of normal ordering for powers of the number operators. Several properties of these colored Stirling numbers are discussed. | ||
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10.1134/S1061920808010093 doi (DE-627)OLC204926982X (DE-He213)S1061920808010093-p DE-627 ger DE-627 rakwb eng 530 510 VZ Mansour, T. verfasserin aut On the normal ordering of multi-mode boson operators 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2008 Abstract Combinatorial aspects of normal ordering for annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the normal ordering in the multi-mode case, for each mode, a color is introduced, and colored contractions are considered. A depiction for colored contractions via colored linear representations is given. By analogy with the single-mode case, associated colored Stirling numbers are defined as coefficients appearing in the process of normal ordering for powers of the number operators. Several properties of these colored Stirling numbers are discussed. Commutation Relation Operator Function Recursion Relation Annihilation Operator Creation Operator Schork, M. aut Enthalten in Russian journal of mathematical physics Nauka/Interperiodica, 1993 15(2008), 1 vom: März, Seite 77-88 (DE-627)190282460 (DE-600)1291704-7 (DE-576)285631713 1061-9208 nnns volume:15 year:2008 number:1 month:03 pages:77-88 https://doi.org/10.1134/S1061920808010093 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 AR 15 2008 1 03 77-88 |
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10.1134/S1061920808010093 doi (DE-627)OLC204926982X (DE-He213)S1061920808010093-p DE-627 ger DE-627 rakwb eng 530 510 VZ Mansour, T. verfasserin aut On the normal ordering of multi-mode boson operators 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2008 Abstract Combinatorial aspects of normal ordering for annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the normal ordering in the multi-mode case, for each mode, a color is introduced, and colored contractions are considered. A depiction for colored contractions via colored linear representations is given. By analogy with the single-mode case, associated colored Stirling numbers are defined as coefficients appearing in the process of normal ordering for powers of the number operators. Several properties of these colored Stirling numbers are discussed. Commutation Relation Operator Function Recursion Relation Annihilation Operator Creation Operator Schork, M. aut Enthalten in Russian journal of mathematical physics Nauka/Interperiodica, 1993 15(2008), 1 vom: März, Seite 77-88 (DE-627)190282460 (DE-600)1291704-7 (DE-576)285631713 1061-9208 nnns volume:15 year:2008 number:1 month:03 pages:77-88 https://doi.org/10.1134/S1061920808010093 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 AR 15 2008 1 03 77-88 |
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10.1134/S1061920808010093 doi (DE-627)OLC204926982X (DE-He213)S1061920808010093-p DE-627 ger DE-627 rakwb eng 530 510 VZ Mansour, T. verfasserin aut On the normal ordering of multi-mode boson operators 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2008 Abstract Combinatorial aspects of normal ordering for annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the normal ordering in the multi-mode case, for each mode, a color is introduced, and colored contractions are considered. A depiction for colored contractions via colored linear representations is given. By analogy with the single-mode case, associated colored Stirling numbers are defined as coefficients appearing in the process of normal ordering for powers of the number operators. Several properties of these colored Stirling numbers are discussed. Commutation Relation Operator Function Recursion Relation Annihilation Operator Creation Operator Schork, M. aut Enthalten in Russian journal of mathematical physics Nauka/Interperiodica, 1993 15(2008), 1 vom: März, Seite 77-88 (DE-627)190282460 (DE-600)1291704-7 (DE-576)285631713 1061-9208 nnns volume:15 year:2008 number:1 month:03 pages:77-88 https://doi.org/10.1134/S1061920808010093 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 AR 15 2008 1 03 77-88 |
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10.1134/S1061920808010093 doi (DE-627)OLC204926982X (DE-He213)S1061920808010093-p DE-627 ger DE-627 rakwb eng 530 510 VZ Mansour, T. verfasserin aut On the normal ordering of multi-mode boson operators 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2008 Abstract Combinatorial aspects of normal ordering for annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the normal ordering in the multi-mode case, for each mode, a color is introduced, and colored contractions are considered. A depiction for colored contractions via colored linear representations is given. By analogy with the single-mode case, associated colored Stirling numbers are defined as coefficients appearing in the process of normal ordering for powers of the number operators. Several properties of these colored Stirling numbers are discussed. Commutation Relation Operator Function Recursion Relation Annihilation Operator Creation Operator Schork, M. aut Enthalten in Russian journal of mathematical physics Nauka/Interperiodica, 1993 15(2008), 1 vom: März, Seite 77-88 (DE-627)190282460 (DE-600)1291704-7 (DE-576)285631713 1061-9208 nnns volume:15 year:2008 number:1 month:03 pages:77-88 https://doi.org/10.1134/S1061920808010093 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT GBV_ILN_70 AR 15 2008 1 03 77-88 |
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Abstract Combinatorial aspects of normal ordering for annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the normal ordering in the multi-mode case, for each mode, a color is introduced, and colored contractions are considered. A depiction for colored contractions via colored linear representations is given. By analogy with the single-mode case, associated colored Stirling numbers are defined as coefficients appearing in the process of normal ordering for powers of the number operators. Several properties of these colored Stirling numbers are discussed. © Pleiades Publishing, Ltd. 2008 |
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Abstract Combinatorial aspects of normal ordering for annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the normal ordering in the multi-mode case, for each mode, a color is introduced, and colored contractions are considered. A depiction for colored contractions via colored linear representations is given. By analogy with the single-mode case, associated colored Stirling numbers are defined as coefficients appearing in the process of normal ordering for powers of the number operators. Several properties of these colored Stirling numbers are discussed. © Pleiades Publishing, Ltd. 2008 |
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Abstract Combinatorial aspects of normal ordering for annihilation and creation operators of a multi-mode boson system are discussed. The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the normal ordering in the multi-mode case, for each mode, a color is introduced, and colored contractions are considered. A depiction for colored contractions via colored linear representations is given. By analogy with the single-mode case, associated colored Stirling numbers are defined as coefficients appearing in the process of normal ordering for powers of the number operators. Several properties of these colored Stirling numbers are discussed. © Pleiades Publishing, Ltd. 2008 |
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The modes are assumed to be coupled, since otherwise the problem of normal ordering is reduced to the cooresponding problem of the single-mode case. To describe the normal ordering in the multi-mode case, for each mode, a color is introduced, and colored contractions are considered. A depiction for colored contractions via colored linear representations is given. By analogy with the single-mode case, associated colored Stirling numbers are defined as coefficients appearing in the process of normal ordering for powers of the number operators. Several properties of these colored Stirling numbers are discussed.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Commutation Relation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Recursion Relation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Annihilation Operator</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Creation Operator</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Schork, M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Russian journal of mathematical physics</subfield><subfield code="d">Nauka/Interperiodica, 1993</subfield><subfield code="g">15(2008), 1 vom: März, Seite 77-88</subfield><subfield code="w">(DE-627)190282460</subfield><subfield code="w">(DE-600)1291704-7</subfield><subfield code="w">(DE-576)285631713</subfield><subfield code="x">1061-9208</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:15</subfield><subfield code="g">year:2008</subfield><subfield code="g">number:1</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:77-88</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1134/S1061920808010093</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">15</subfield><subfield code="j">2008</subfield><subfield code="e">1</subfield><subfield code="c">03</subfield><subfield code="h">77-88</subfield></datafield></record></collection>
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