Connectivity and Superconductivity
Contributors: Jorge Berger (Editor); Jacob Rubinstein (Editor)
Edition: 1 edition
Publisher: Springer
Published: March 1, 2001
Language: eng
Format: Hardcover
Number of pages: 256
ISBN-13: 9783540679325
Subjects: Biophysics; Electricity, magnetism & electromagnetism; Materials science; Sound, vibration & waves (acoustics); Science; Superconductivity; Technology & Industrial Arts; Science/Mathematics; Superconductors & Superconductivity; General; Physics; Science / Mathematical Physics; Connections (Mathematics); Mathematical Physics; Mathematics
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.