Quantum condensation in superconductivity perceived in its space–time aspects

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Masumi Taizo 2003Quantum condensation in superconductivity perceived in its space–time aspectsProc. R. Soc. Lond. A.4592643–2661http://doi.org/10.1098/rspa.2002.1108SectionRestricted accessQuantum condensation in superconductivity perceived in its space–time aspects Taizo Masumi Taizo Masumi National Institute for Materials Science, Nano-Materials Laboratory, 3-13 Sakura, Tsukuba, Ibaraki, 305-0003, Japan and Department of Pure and Applied Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan() Google Scholar Find this author on PubMed Search for more papers by this author Taizo Masumi Taizo Masumi National Institute for Materials Science, Nano-Materials Laboratory, 3-13 Sakura, Tsukuba, Ibaraki, 305-0003, Japan and Department of Pure and Applied Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan() Google Scholar Find this author on PubMed Search for more papers by this author Published:08 October 2003https://doi.org/10.1098/rspa.2002.1108AbstractSince the work of F. and H. London in 1935, the important question of explaining the relation between the static and uniform electric and magnetic responses of superconductors, namely, the zero–resistivity E = 0 and the perfect diamagnetism B = 0, seems to have long been forgotten. London & London postulated their famous macroscopic equation ΛcJ = −A, where Λ = m/nSe2. A logical gap [α], however, has been clearly admitted for a long time in the argument used to obtain B = 0 from dB/dt = 0. Here, we point out that there exists another hidden logical gap [β] in the argument used to obtain E = 0 from curl E = 0. Microscopically, the Bardeen–Cooper–Schrieffer (BCS) theory was constructed with the London equation in mind, and the concept of Josephson's phase locking in the macroscopic wave function ψmacro was established later. Quite recently (in 2001), we successfully clarified a substantial problem in superconductivity, unsolved and forgotten for a long time, in a stabilized form. Here, in particular, we must point out that, in order to remove logical gaps [α] and [β], we must simultaneously account for the zero–resistivity, ϕ(R) = 0 at ω = 0, and the perfect diamagnetism, [ℏK − (q/c)A(R)] = 0 at q = 0, equivalent to the second London equation, as a set of equally fundamental inherent properties of pure superconductivity at T ≃ 0 K. We further clarify why and how the BCS theory must be extended to the (1+3)–dimensional Minkowski space–time on the basis of the concept of coherence in the macroscopic wave function, Ψmacro, as an inevitable consequence of the gauge field theory. Previous Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Masumi T (2007) Quantum condensates classified in superconductivity with topology in the Minkowski space-time, Phase Transitions, 10.1080/01411590701275704, 80:9, (901-966), Online publication date: 1-Sep-2007. This Issue08 October 2003Volume 459Issue 2038 Article InformationDOI:https://doi.org/10.1098/rspa.2002.1108Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/10/2003Published in print08/10/2003 License: Citations and impact Keywordspure superconductivityLondon equationMeissner effectzero–resistivityMinkowski space–timequantum coherent condensation