Vladimir E. Korepin

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Painlevé analysis of correlation functions of the impenetrable Bose gas1] was based on the determinant representation of these correlation functions obtained by A. Lenard [2]. The impenetrable Bose gas is the free fermionic case of the quantum non-linear Schrödinger equation. In this paper we generalize the Lenard determinant representation for ψ(0, 0)ψ †(More)
We consider the one-dimensional XXX spin 1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of formation of a ferromagnetic string P (n) in the antiferromagnetic ground-state. We call it emptiness formation probability [EFP]. We suggest a new technique for computation of the EFP in the(More)
We consider a model of strongly correlated electrons that exhibits superconduc-tivity. It diiers from the Hubbard model by nearest neighbour interactions. We nd the ground state wave function (in one, two or three dimensions) and show it to be superconducting for attractive and moderately repulsive on-site interaction. 1 The phenomenon of high-T c(More)
We consider non-relativistic electrons in one dimension with infinitely strong repulsive delta function interaction. We calculate the long-time, large-distance asymptotics of field-field correlators in the gas phase. The gas phase at low temperatures is characterized by the ideal gas law. We calculate the exponential decay, the power law corrections and the(More)