The Levitron TM : an adiabatic trap for spins
1996; Royal Society; Volume: 452; Issue: 1948 Linguagem: Inglês
10.1098/rspa.1996.0062
ISSN1471-2946
Autores Tópico(s)Quantum and electron transport phenomena
ResumoRestricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Berry Michael Victor 1996The LevitronTM: an adiabatic trap for spinsProc. R. Soc. Lond. A.4521207–1220http://doi.org/10.1098/rspa.1996.0062SectionRestricted accessArticleThe LevitronTM: an adiabatic trap for spins Michael Victor Berry Google Scholar Find this author on PubMed Search for more papers by this author Michael Victor Berry Google Scholar Find this author on PubMed Published:01 January 1996https://doi.org/10.1098/rspa.1996.0062AbstractA magnet in the form of a spinning-top can float stably above a repelling magnetic base. The principal mechanism of stability is static equilibrium in a potential energy field E, arising dynamically from the adiabatic coupling of the spin with the magnetic field B of the base and involving the magnitude B of this field. E is close to a harmonic potential, that is, one whose Laplacian is zero, for which Earnshaw's theorem would forbid stable equilibrium. Therefore its minimum is very shallow, and requires the mass of the top to be adjusted delicately so that it hangs within a small interval of height. The stability interval is increased by a post-adiabatic dynamic coupling of the velocity of the top to B, through an effective 'geometric magnetic field' constructed from the spatial derivatives of B; this effect gets stronger as the top is spun faster. The device is analogous to several traps for microscopic particles.FootnotesThis text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR. 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