74 citations · 196 across the 13 of their papers we have counts for
13 papers
Multivalued Wess-Zumino-Novikov Functional and Chiral Anomaly in Hydrodynamics
P. B. Wiegmann
We present a hydrodynamic framework derived from the action of a perfect fluid, modified by the hydrodynamic analog of Novikov's multivalued functional. This modification introduce…
Exact and asymptotic features of the edge density profile for the one component plasma in two dimensions
T. Can, P. J. Forrester, G. Tellez +1
There is a well known analogy between the Laughlin trial wave function for the fractional quantum Hall effect, and the Boltzmann factor for the two-dimensional one-component plasma…
Singular Behavior At The Edge of Laughlin States
T. Can, P. J. Forrester, G. Téllez +1
A distinguishing feature of fractional quantum Hall (FQH) states is a singular behavior of equilibrium densities at boundaries. In contrast to states at integer filling fraction, s…
Nonlinear Dynamics of Quantum Systems and Soliton Theory
Eldad Bettelheim, Alexander G. Abanov, Paul Wiegmann
We show that space-time evolution of one-dimensional fermionic systems is described by nonlinear equations of soliton theory. We identify a space-time dependence of a matrix elemen…
-function for analytic curves
I. K. Kostov, I. Krichever, M. Mineev-Weinstein +2
We review the concept of -function for simple analytic curves. The -function gives a formal solution to the 2D inverse potential problem and appears as the -function of th…
On the singular spectrum of the Almost Mathieu operator. Arithmetics and Cantor spectra of integrable models
P. B. Wiegmann
I review a recent progress towards solution of the Almost Mathieu equation (A.G. Abanov, J.C. Talstra, P.B. Wiegmann, Nucl. Phys. B 525, 571, 1998), known also as Harper's equation…