LEADER 04056nam 22006975 450 001 9910257441003321 005 20250729103304.0 010 $a3-540-44532-3 024 7 $a10.1007/3-540-44532-3 035 $a(CKB)1000000000778294 035 $a(SSID)ssj0000322265 035 $a(PQKBManifestationID)12091377 035 $a(PQKBTitleCode)TC0000322265 035 $a(PQKBWorkID)10286761 035 $a(PQKB)11168046 035 $a(DE-He213)978-3-540-44532-6 035 $a(MiAaPQ)EBC3072753 035 $a(PPN)155216600 035 $a(EXLCZ)991000000000778294 100 $a20121227d2000 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aConnectivity and Superconductivity /$fedited by Jorge Berger, Jacob Rubinstein 205 $a1st ed. 2000. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000. 215 $a1 online resource (XIV, 258 p.) 225 1 $aLecture Notes in Physics Monographs ;$v62 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-642-08751-5 311 08$a3-540-67932-4 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIn the Memory of Shlomo Alexander -- Topological Considerations in Superconductivity -- The de Gennes-Alexander Theory of Superconducting Micronetworks -- Nodal Sets, Multiplicity and Superconductivity in Non-simply Connected Domains -- Connectivity and Flux Confinement Phenomena in Nanostructured Superconductors -- Zero Set of the Order Parameter, Especially in Rings -- Persistent Currents in Ginzburg-Landau Models -- On the Normal/Superconducting Phase Transition in the Presence of Large Magnetic Fields -- On the Numerical Solution of the Time-Dependent Ginzburg-Landau Equations in Multiply Connected Domains -- Formation of Vortex-Antivortex Pairs -- The Order Parameter as a Macroscopic Quantum Wavefunction -- The Ehrenberg-Siday-Aharonov-Bohm Effect -- Connectivity and Superconductivity in Inhomogeneous Structures. 330 $aThe motto of connectivity and superconductivity is that the solutions of the Ginzburg--Landau equations are qualitatively influenced by the topology of the boundaries, as in multiply-connected samples. Special attention is paid to the "zero set", the set of the positions (also known as "quantum vortices") where the order parameter vanishes. The effects considered here usually become important in the regime where the coherence length is of the order of the dimensions of the sample. It takes the intuition of physicists and the awareness of mathematicians to find these new effects. In connectivity and superconductivity, theoretical and experimental physicists are brought together with pure and applied mathematicians to review these surprising results. This volume is intended to serve as a reference book for graduate students and researchers in physics or mathematics interested in superconductivity, or in the Schrödinger equation as a limiting case of the Ginzburg--Landau equations. 410 0$aLecture Notes in Physics Monographs ;$v62 606 $aMathematical physics 606 $aSuperconductivity 606 $aSuperconductors 606 $aMathematics 606 $aMathematical Methods in Physics 606 $aSuperconductivity 606 $aApplications of Mathematics 615 0$aMathematical physics. 615 0$aSuperconductivity. 615 0$aSuperconductors. 615 0$aMathematics. 615 14$aMathematical Methods in Physics. 615 24$aSuperconductivity. 615 24$aApplications of Mathematics. 676 $a537.6/23/0151 702 $aBerger$b Jorge$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRubinstein$b Jacob$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910257441003321 996 $aConnectivity and Superconductivity$9374227 997 $aUNINA