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math-ph2011
Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction
Rupert L. Frank, Christian Hainzl, Robert Seiringer +1
In a recent paper we give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Here we…
math-ph2011
Asymptotics for Two-dimensional Atoms
Phan Thanh Nam, Fabian Portmann, Jan Philip Solovej
We prove that the ground state energy of an atom confined to two dimensions with an infinitely heavy nucleus of charge and quantum electrons of charge -1 is $E(N,Z)=-{1/2…