Calculation of Metric for Gaussian Weave State
Abstract Using the recoupling theorem and graph calculation in loop quantum gravity, it is demonstrated that the action of metric matrix operator on Gaussian weave state is an eigenaction, the representation matrix elements of the metric operator and their expectation values are calculated. The valu...
Ausführliche Beschreibung
Autor*in: |
Shao, L. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2007 |
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Schlagwörter: |
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Anmerkung: |
© Springer Science+Business Media, LLC 2007 |
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Übergeordnetes Werk: |
Enthalten in: International journal of theoretical physics - Springer US, 1968, 47(2007), 6 vom: 30. Nov., Seite 1663-1691 |
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Übergeordnetes Werk: |
volume:47 ; year:2007 ; number:6 ; day:30 ; month:11 ; pages:1663-1691 |
Links: |
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DOI / URN: |
10.1007/s10773-007-9609-6 |
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Katalog-ID: |
OLC2052366067 |
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10.1007/s10773-007-9609-6 doi (DE-627)OLC2052366067 (DE-He213)s10773-007-9609-6-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Shao, L. verfasserin aut Calculation of Metric for Gaussian Weave State 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Abstract Using the recoupling theorem and graph calculation in loop quantum gravity, it is demonstrated that the action of metric matrix operator on Gaussian weave state is an eigenaction, the representation matrix elements of the metric operator and their expectation values are calculated. The values of length of tangent vectors of edges adjacent to the vertex of Gaussian weave state, as well as the angles between them are also obtained in the cases of k=0 and k=2. Gaussian weave Metric matrix operator Expectation value matrix of metric operator Action of volume operator Spin-geometry Shao, D. aut Shao, C. G. aut Noda, H. aut Enthalten in International journal of theoretical physics Springer US, 1968 47(2007), 6 vom: 30. Nov., Seite 1663-1691 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:47 year:2007 number:6 day:30 month:11 pages:1663-1691 https://doi.org/10.1007/s10773-007-9609-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2005 33.00 VZ AR 47 2007 6 30 11 1663-1691 |
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10.1007/s10773-007-9609-6 doi (DE-627)OLC2052366067 (DE-He213)s10773-007-9609-6-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Shao, L. verfasserin aut Calculation of Metric for Gaussian Weave State 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Abstract Using the recoupling theorem and graph calculation in loop quantum gravity, it is demonstrated that the action of metric matrix operator on Gaussian weave state is an eigenaction, the representation matrix elements of the metric operator and their expectation values are calculated. The values of length of tangent vectors of edges adjacent to the vertex of Gaussian weave state, as well as the angles between them are also obtained in the cases of k=0 and k=2. Gaussian weave Metric matrix operator Expectation value matrix of metric operator Action of volume operator Spin-geometry Shao, D. aut Shao, C. G. aut Noda, H. aut Enthalten in International journal of theoretical physics Springer US, 1968 47(2007), 6 vom: 30. Nov., Seite 1663-1691 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:47 year:2007 number:6 day:30 month:11 pages:1663-1691 https://doi.org/10.1007/s10773-007-9609-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2005 33.00 VZ AR 47 2007 6 30 11 1663-1691 |
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10.1007/s10773-007-9609-6 doi (DE-627)OLC2052366067 (DE-He213)s10773-007-9609-6-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Shao, L. verfasserin aut Calculation of Metric for Gaussian Weave State 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Abstract Using the recoupling theorem and graph calculation in loop quantum gravity, it is demonstrated that the action of metric matrix operator on Gaussian weave state is an eigenaction, the representation matrix elements of the metric operator and their expectation values are calculated. The values of length of tangent vectors of edges adjacent to the vertex of Gaussian weave state, as well as the angles between them are also obtained in the cases of k=0 and k=2. Gaussian weave Metric matrix operator Expectation value matrix of metric operator Action of volume operator Spin-geometry Shao, D. aut Shao, C. G. aut Noda, H. aut Enthalten in International journal of theoretical physics Springer US, 1968 47(2007), 6 vom: 30. Nov., Seite 1663-1691 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:47 year:2007 number:6 day:30 month:11 pages:1663-1691 https://doi.org/10.1007/s10773-007-9609-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2005 33.00 VZ AR 47 2007 6 30 11 1663-1691 |
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10.1007/s10773-007-9609-6 doi (DE-627)OLC2052366067 (DE-He213)s10773-007-9609-6-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Shao, L. verfasserin aut Calculation of Metric for Gaussian Weave State 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2007 Abstract Using the recoupling theorem and graph calculation in loop quantum gravity, it is demonstrated that the action of metric matrix operator on Gaussian weave state is an eigenaction, the representation matrix elements of the metric operator and their expectation values are calculated. The values of length of tangent vectors of edges adjacent to the vertex of Gaussian weave state, as well as the angles between them are also obtained in the cases of k=0 and k=2. Gaussian weave Metric matrix operator Expectation value matrix of metric operator Action of volume operator Spin-geometry Shao, D. aut Shao, C. G. aut Noda, H. aut Enthalten in International journal of theoretical physics Springer US, 1968 47(2007), 6 vom: 30. Nov., Seite 1663-1691 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:47 year:2007 number:6 day:30 month:11 pages:1663-1691 https://doi.org/10.1007/s10773-007-9609-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2005 33.00 VZ AR 47 2007 6 30 11 1663-1691 |
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Abstract Using the recoupling theorem and graph calculation in loop quantum gravity, it is demonstrated that the action of metric matrix operator on Gaussian weave state is an eigenaction, the representation matrix elements of the metric operator and their expectation values are calculated. The values of length of tangent vectors of edges adjacent to the vertex of Gaussian weave state, as well as the angles between them are also obtained in the cases of k=0 and k=2. © Springer Science+Business Media, LLC 2007 |
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Abstract Using the recoupling theorem and graph calculation in loop quantum gravity, it is demonstrated that the action of metric matrix operator on Gaussian weave state is an eigenaction, the representation matrix elements of the metric operator and their expectation values are calculated. The values of length of tangent vectors of edges adjacent to the vertex of Gaussian weave state, as well as the angles between them are also obtained in the cases of k=0 and k=2. © Springer Science+Business Media, LLC 2007 |
abstract_unstemmed |
Abstract Using the recoupling theorem and graph calculation in loop quantum gravity, it is demonstrated that the action of metric matrix operator on Gaussian weave state is an eigenaction, the representation matrix elements of the metric operator and their expectation values are calculated. The values of length of tangent vectors of edges adjacent to the vertex of Gaussian weave state, as well as the angles between them are also obtained in the cases of k=0 and k=2. © Springer Science+Business Media, LLC 2007 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2052366067</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503083628.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2007 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10773-007-9609-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2052366067</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10773-007-9609-6-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Shao, L.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Calculation of Metric for Gaussian Weave State</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2007</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Using the recoupling theorem and graph calculation in loop quantum gravity, it is demonstrated that the action of metric matrix operator on Gaussian weave state is an eigenaction, the representation matrix elements of the metric operator and their expectation values are calculated. 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