115 citations · 528 across the 12 of their papers we have counts for
12 papers
The Toeplitz matrix and its application to a layered electron gas
Onuttom Narayan, B Sriram Shastry
We present an explicit solution of the eigen-spectrum Toeplitz matrix with and apply it to find analytically the plasma modes of a layered…
Functionally independent conservations laws in a quantum integrable model
Haile Owusu, B. Sriram Shastry
We study a recently proposed quantum integrable model defined on a lattice with N sites, with Fermions or Bosons populating each site, as a close relative of the well known spin-1/…
The Origin of Degeneracies and Crossings in the 1d Hubbard Model
E. A. Yuzbashyan, B. L. Altshuler, B. S. Shastry
The paper is devoted to the connection between integrability of a finite quantum system and degeneracies of its energy levels. In particular, we analyze in detail the energy spectr…
The 2-d Coulomb Gas on a 1-d lattice
O. Narayan, B. S. Shastry
The statistical mechanics of a two dimensional Coulomb gas confined to one dimension is studied, wherein hard core particles move on a ring. Exact self-duality is shown for a versi…
Random Matrix Model and the Calogero-Sutherland Model: A Novel Current-Density Mapping
N. Taniguchi, B. S. Shastry, B. L. Altshuler
We investigate the relation between the invariant correlators of random matrix theory and correlators of the integrable one-dimensional systems. Starting from the relation between…
On Quantum Solitons in the Sawtooth Lattice
Diptiman Sen, B. Sriram Shastry, R. E. Walstedt +1
We study the sawtooth lattice of a coupled spin Heisenberg system, a variant of the railroad trestle lattice. The ground state of this system is two-fold degenerate with peri…
Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction
Bill Sutherland, Rudolf A. Römer, B. Sriram Shastry
We present the exact solution to a one-dimensional multicomponent quantum lattice model interacting by an exchange operator which falls off as the inverse-sinh-square of the distan…
Exact Dynamical Correlations of the 1/r^2 Model
E. R. Mucciolo, B. S. Shastry, B. D. Simons +1
We present exact results for the dynamical structure function, i.e.~the density-density correlations for the 1/r^2 system of interacting particles at three special values of the co…
What Does The Korringa Ratio Measure?
B. Sriram Shastry, Elihu Abrahams
We present an analysis of the Korringa ratio in a dirty metal, emphasizing the case where a Stoner enhancement of the uniform susceptibilty is present. We find that the relaxation…
Dyson's Brownian Motion and Universal Dynamics of Quantum Systems
Onuttom Narayan, B. Sriram Shastry
We establish a correspondence between the evolution of the distribution of eigenvalues of a matrix subject to a random Gaussian perturbing matrix, and a Fokker-Planck e…
Solution of Some Integrable One-Dimensional Quantum Systems
Bill Sutherland, B. Sriram Shastry
In this paper, we investigate a family of one-dimensional multi-component quantum many-body systems. The interaction is an exchange interaction based on the familiar family of inte…
Super Lax Pairs and Infinite Symmetries in The System
B. Sriram Shastry, Bill Sutherland
We present an algebraic structure that provides an interesting and novel link between supersymmetry and quantum integrability. This structure underlies two classes of models that a…