The Stark problem as a concave toric domain
Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfa...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Frauenfelder, Urs [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Geometriae dedicata - Springer Netherlands, 1972, 217(2022), 1 vom: 10. Nov. |
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| Übergeordnetes Werk: |
volume:217 ; year:2022 ; number:1 ; day:10 ; month:11 |
| Links: |
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| DOI / URN: |
10.1007/s10711-022-00744-0 |
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OLC2079951890 |
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| 520 | |a Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains. | ||
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10.1007/s10711-022-00744-0 doi (DE-627)OLC2079951890 (DE-He213)s10711-022-00744-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Frauenfelder, Urs verfasserin (orcid)0000-0002-5151-7793 aut The Stark problem as a concave toric domain 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2022 Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains. Integrable system Moment Map Regularization Enthalten in Geometriae dedicata Springer Netherlands, 1972 217(2022), 1 vom: 10. Nov. (DE-627)129385301 (DE-600)183909-3 (DE-576)014772213 0046-5755 nnns volume:217 year:2022 number:1 day:10 month:11 https://doi.org/10.1007/s10711-022-00744-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 AR 217 2022 1 10 11 |
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10.1007/s10711-022-00744-0 doi (DE-627)OLC2079951890 (DE-He213)s10711-022-00744-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Frauenfelder, Urs verfasserin (orcid)0000-0002-5151-7793 aut The Stark problem as a concave toric domain 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2022 Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains. Integrable system Moment Map Regularization Enthalten in Geometriae dedicata Springer Netherlands, 1972 217(2022), 1 vom: 10. Nov. (DE-627)129385301 (DE-600)183909-3 (DE-576)014772213 0046-5755 nnns volume:217 year:2022 number:1 day:10 month:11 https://doi.org/10.1007/s10711-022-00744-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 AR 217 2022 1 10 11 |
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10.1007/s10711-022-00744-0 doi (DE-627)OLC2079951890 (DE-He213)s10711-022-00744-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Frauenfelder, Urs verfasserin (orcid)0000-0002-5151-7793 aut The Stark problem as a concave toric domain 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2022 Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains. Integrable system Moment Map Regularization Enthalten in Geometriae dedicata Springer Netherlands, 1972 217(2022), 1 vom: 10. Nov. (DE-627)129385301 (DE-600)183909-3 (DE-576)014772213 0046-5755 nnns volume:217 year:2022 number:1 day:10 month:11 https://doi.org/10.1007/s10711-022-00744-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 AR 217 2022 1 10 11 |
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10.1007/s10711-022-00744-0 doi (DE-627)OLC2079951890 (DE-He213)s10711-022-00744-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Frauenfelder, Urs verfasserin (orcid)0000-0002-5151-7793 aut The Stark problem as a concave toric domain 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2022 Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains. Integrable system Moment Map Regularization Enthalten in Geometriae dedicata Springer Netherlands, 1972 217(2022), 1 vom: 10. Nov. (DE-627)129385301 (DE-600)183909-3 (DE-576)014772213 0046-5755 nnns volume:217 year:2022 number:1 day:10 month:11 https://doi.org/10.1007/s10711-022-00744-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 AR 217 2022 1 10 11 |
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10.1007/s10711-022-00744-0 doi (DE-627)OLC2079951890 (DE-He213)s10711-022-00744-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Frauenfelder, Urs verfasserin (orcid)0000-0002-5151-7793 aut The Stark problem as a concave toric domain 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2022 Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains. Integrable system Moment Map Regularization Enthalten in Geometriae dedicata Springer Netherlands, 1972 217(2022), 1 vom: 10. Nov. (DE-627)129385301 (DE-600)183909-3 (DE-576)014772213 0046-5755 nnns volume:217 year:2022 number:1 day:10 month:11 https://doi.org/10.1007/s10711-022-00744-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 AR 217 2022 1 10 11 |
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Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains. © The Author(s) 2022 |
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Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains. © The Author(s) 2022 |
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Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains. © The Author(s) 2022 |
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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">OLC2079951890</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506145023.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230131s2022 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10711-022-00744-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2079951890</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10711-022-00744-0-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">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Frauenfelder, Urs</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-5151-7793</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Stark problem as a concave toric domain</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</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">© The Author(s) 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Integrable system</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Moment Map</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Regularization</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Geometriae dedicata</subfield><subfield code="d">Springer Netherlands, 1972</subfield><subfield code="g">217(2022), 1 vom: 10. Nov.</subfield><subfield code="w">(DE-627)129385301</subfield><subfield code="w">(DE-600)183909-3</subfield><subfield code="w">(DE-576)014772213</subfield><subfield code="x">0046-5755</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:217</subfield><subfield code="g">year:2022</subfield><subfield code="g">number:1</subfield><subfield code="g">day:10</subfield><subfield code="g">month:11</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10711-022-00744-0</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-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">217</subfield><subfield code="j">2022</subfield><subfield code="e">1</subfield><subfield code="b">10</subfield><subfield code="c">11</subfield></datafield></record></collection>
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