Casimir-Polder interaction for gently curved surfaces
We use a derivative expansion for gently curved surfaces to compute the leading and the next-to-leading curvature corrections to the Casimir-Polder interaction between a polarizable small particle and a nonplanar surface. While our methods apply to any homogeneous and isotropic surface, explicit res...
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American Physical Society
2014
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Online Access: | http://hdl.handle.net/1721.1/91244 https://orcid.org/0000-0002-1112-5912 |
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author | Bimonte, Giuseppe Emig, Thorsten Kardar, Mehran |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics Bimonte, Giuseppe Emig, Thorsten Kardar, Mehran |
author_sort | Bimonte, Giuseppe |
collection | MIT |
description | We use a derivative expansion for gently curved surfaces to compute the leading and the next-to-leading curvature corrections to the Casimir-Polder interaction between a polarizable small particle and a nonplanar surface. While our methods apply to any homogeneous and isotropic surface, explicit results are presented here for perfect conductors. We show that the derivative expansion of the Casimir-Polder potential follows from a resummation of its perturbative series, for small in-plane momenta. We consider the retarded, nonretarded and classical high-temperature limits. |
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format | Article |
id | mit-1721.1/91244 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T11:50:14Z |
publishDate | 2014 |
publisher | American Physical Society |
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spelling | mit-1721.1/912442022-10-01T06:21:00Z Casimir-Polder interaction for gently curved surfaces Bimonte, Giuseppe Emig, Thorsten Kardar, Mehran Massachusetts Institute of Technology. Department of Physics Kardar, Mehran We use a derivative expansion for gently curved surfaces to compute the leading and the next-to-leading curvature corrections to the Casimir-Polder interaction between a polarizable small particle and a nonplanar surface. While our methods apply to any homogeneous and isotropic surface, explicit results are presented here for perfect conductors. We show that the derivative expansion of the Casimir-Polder potential follows from a resummation of its perturbative series, for small in-plane momenta. We consider the retarded, nonretarded and classical high-temperature limits. National Science Foundation (U.S.) (Grant No. DMR-12-06323) 2014-10-30T19:38:43Z 2014-10-30T19:38:43Z 2014-10 2014-09 2014-10-29T22:00:03Z Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/91244 Bimonte, Giuseppe, Thorsten Emig, and Mehran Kardar. "Casimir-Polder interaction for gently curved surfaces." Phys. Rev. D 90 (2014): 081702(R). © 2014 American Physical Society. https://orcid.org/0000-0002-1112-5912 en http://dx.doi.org/10.1103/PhysRevD.90.081702 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
spellingShingle | Bimonte, Giuseppe Emig, Thorsten Kardar, Mehran Casimir-Polder interaction for gently curved surfaces |
title | Casimir-Polder interaction for gently curved surfaces |
title_full | Casimir-Polder interaction for gently curved surfaces |
title_fullStr | Casimir-Polder interaction for gently curved surfaces |
title_full_unstemmed | Casimir-Polder interaction for gently curved surfaces |
title_short | Casimir-Polder interaction for gently curved surfaces |
title_sort | casimir polder interaction for gently curved surfaces |
url | http://hdl.handle.net/1721.1/91244 https://orcid.org/0000-0002-1112-5912 |
work_keys_str_mv | AT bimontegiuseppe casimirpolderinteractionforgentlycurvedsurfaces AT emigthorsten casimirpolderinteractionforgentlycurvedsurfaces AT kardarmehran casimirpolderinteractionforgentlycurvedsurfaces |