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- catalog abstract "The 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.".
- catalog contributor b12129660.
- catalog contributor b12129661.
- catalog created "c2000.".
- catalog date "2000".
- catalog date "c2000.".
- catalog dateCopyrighted "c2000.".
- catalog description "In 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 Ehrenburg--Siday--Aharonov--Bohm Effect -- Connectivity and Superconductivity in Inhomogeneous Structures.".
- catalog description "Includes bibliographical references.".
- catalog description "The 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.".
- catalog extent "xiv, 256 p. :".
- catalog identifier "3540679324 (alk. paper)".
- catalog isPartOf "Lecture notes in physics. Monographs, 0940-7677 ; m62".
- catalog isPartOf "Lecture notes in physics. New series m, Monographs ; m62.".
- catalog issued "2000".
- catalog issued "c2000.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "537.6/23/0151 21".
- catalog subject "Connections (Mathematics)".
- catalog subject "Electromagnetism.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Physics.".
- catalog subject "QC611.92 .C65 2000".
- catalog subject "Superconductivity Mathematics.".
- catalog subject "Superconductivity.".
- catalog tableOfContents "In 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 Ehrenburg--Siday--Aharonov--Bohm Effect -- Connectivity and Superconductivity in Inhomogeneous Structures.".
- catalog title "Connectivity and superconductivity / Jorge Berger, Jacob Rubinstein, (eds.).".
- catalog type "Aufsatzsammlung. swd".
- catalog type "text".