Lens Rigidity for a Particle in a Yang–Mills Field
We consider the motion of a classical colored spinless particle under the influence of an external Yang–Mills potential A on a compact manifold with boundary of dimension ≥ 3 . We show that under suitable convexity assumptions, we can recover the potential A , up to gauge transformations, from the l...
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| Veröffentlicht in: | Communications in mathematical physics 2019-03, Vol.366 (2), p.681-707 |
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| container_title | Communications in mathematical physics |
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| creator | Paternain, Gabriel P. Uhlmann, Gunther Zhou, Hanming |
| description | We consider the motion of a classical colored spinless particle under the influence of an external Yang–Mills potential
A
on a compact manifold with boundary of dimension
≥
3
. We show that under suitable convexity assumptions, we can recover the potential
A
, up to gauge transformations, from the lens data of the system, namely, scattering data plus travel times between boundary points. |
| doi_str_mv | 10.1007/s00220-019-03388-6 |
| format | Article |
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A
on a compact manifold with boundary of dimension
≥
3
. We show that under suitable convexity assumptions, we can recover the potential
A
, up to gauge transformations, from the lens data of the system, namely, scattering data plus travel times between boundary points.</description><identifier>ISSN: 0010-3616</identifier><identifier>EISSN: 1432-0916</identifier><identifier>DOI: 10.1007/s00220-019-03388-6</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Complex Systems ; Convexity ; Mathematical and Computational Physics ; Mathematical Physics ; Physics ; Physics and Astronomy ; Quantum Physics ; Relativity Theory ; Theoretical ; Travel time</subject><ispartof>Communications in mathematical physics, 2019-03, Vol.366 (2), p.681-707</ispartof><rights>The Author(s) 2019</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-23d488c5dcce8337dfdba7bdb616e83cff464db35334537957a4801d9a653a263</citedby><cites>FETCH-LOGICAL-c363t-23d488c5dcce8337dfdba7bdb616e83cff464db35334537957a4801d9a653a263</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00220-019-03388-6$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00220-019-03388-6$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Paternain, Gabriel P.</creatorcontrib><creatorcontrib>Uhlmann, Gunther</creatorcontrib><creatorcontrib>Zhou, Hanming</creatorcontrib><title>Lens Rigidity for a Particle in a Yang–Mills Field</title><title>Communications in mathematical physics</title><addtitle>Commun. Math. Phys</addtitle><description>We consider the motion of a classical colored spinless particle under the influence of an external Yang–Mills potential
A
on a compact manifold with boundary of dimension
≥
3
. We show that under suitable convexity assumptions, we can recover the potential
A
, up to gauge transformations, from the lens data of the system, namely, scattering data plus travel times between boundary points.</description><subject>Classical and Quantum Gravitation</subject><subject>Complex Systems</subject><subject>Convexity</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>Theoretical</subject><subject>Travel time</subject><issn>0010-3616</issn><issn>1432-0916</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNp9kLFOwzAQhi0EEqXwAkyRmA1nn-M4I6ooRSoCIRiYLCd2KlchKXY6dOMdeEOeBJcgsbHc6U7__9_pI-ScwSUDKK4iAOdAgZUUEJWi8oBMmEBOoWTykEwAGFCUTB6TkxjXAFByKSdELF0Xsye_8tYPu6zpQ2ayRxMGX7cu812aXk23-vr4vPdtG7O5d609JUeNaaM7--1T8jK_eZ4t6PLh9m52vaQ1ShwoRyuUqnNb104hFraxlSkqW6U30qJuGiGFrTBHFDkWZV4YoYDZ0sgcDZc4JRdj7ib071sXB73ut6FLJzVnJeQqFZZUfFTVoY8xuEZvgn8zYacZ6D0dPdLRiY7-oaP30TiaYhJ3Kxf-ov9xfQN1KmYU</recordid><startdate>20190304</startdate><enddate>20190304</enddate><creator>Paternain, Gabriel P.</creator><creator>Uhlmann, Gunther</creator><creator>Zhou, Hanming</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190304</creationdate><title>Lens Rigidity for a Particle in a Yang–Mills Field</title><author>Paternain, Gabriel P. ; Uhlmann, Gunther ; Zhou, Hanming</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-23d488c5dcce8337dfdba7bdb616e83cff464db35334537957a4801d9a653a263</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Complex Systems</topic><topic>Convexity</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>Theoretical</topic><topic>Travel time</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Paternain, Gabriel P.</creatorcontrib><creatorcontrib>Uhlmann, Gunther</creatorcontrib><creatorcontrib>Zhou, Hanming</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><jtitle>Communications in mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Paternain, Gabriel P.</au><au>Uhlmann, Gunther</au><au>Zhou, Hanming</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lens Rigidity for a Particle in a Yang–Mills Field</atitle><jtitle>Communications in mathematical physics</jtitle><stitle>Commun. Math. Phys</stitle><date>2019-03-04</date><risdate>2019</risdate><volume>366</volume><issue>2</issue><spage>681</spage><epage>707</epage><pages>681-707</pages><issn>0010-3616</issn><eissn>1432-0916</eissn><abstract>We consider the motion of a classical colored spinless particle under the influence of an external Yang–Mills potential
A
on a compact manifold with boundary of dimension
≥
3
. We show that under suitable convexity assumptions, we can recover the potential
A
, up to gauge transformations, from the lens data of the system, namely, scattering data plus travel times between boundary points.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00220-019-03388-6</doi><tpages>27</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Communications in mathematical physics, 2019-03, Vol.366 (2), p.681-707 |
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| language | eng |
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| source | SpringerNature Complete Journals |
| subjects | Classical and Quantum Gravitation Complex Systems Convexity Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical Travel time |
| title | Lens Rigidity for a Particle in a Yang–Mills Field |
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