Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field

DOI10.1063/1.3470767zbMath1312.82025OpenAlexW1979417996MaRDI QIDQ5253706

Francois M. Peeters, Joris Van Deun, Milorad V. Milošević, Andrei Ludu, Annie A. M. Cuyt

Publication date: 27 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3470767

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Statistical mechanics of superconductors (82D55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Statistical thermodynamics (82B30) Ginzburg-Landau equations (35Q56)

Related Items (3)

Vortex structures inside spherical mesoscopic superconductor plus magnetic dipole ⋮ Guiding structures with multiply connected cross sections: Evolution of propagation in external fields at complex Robin parameters ⋮ Variational method applied to two-component Ginzburg-Landau theory

Cites Work

• Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions.
• On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov--Bohm magnetic field
• Supersymmetric solitons
• Eigenvalue estimates for magnetic Schrödinger operators in domains
• Quantum Magnetic Hamiltonians with Remarkable Spectral Properties
• Derivatives of any order of the confluent hypergeometric function F11(a,b,z) with respect to the parameter a or b
• Asymptotic Representations of Confluent Hypergeometric Functions
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