Long-distance asymptotics of temperature correlators of the impenetrable Bose gas

The inverse scattering method is applied to the integrable nonlinear system describing temperature correlators of the impenetrable bosons in one space dimension. The corresponding matrix Riemann problems are constructed for two-point as well as for multi-point correlators. Long-distance asymptotics of two-point correlators is calculated.     

Field correlation functions in a one-dimensional Bose gas

Multifield correlation functions are calculated in the Bose gas model. It is shown that the multifield correlation functions like the correlator of currents previously calculated can be expressed in terms of the irreducible parts of the form factors and the solutions of nonlinear integral equations.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 150, pp. 26–36, 1986.     

1,7-difluoro-1,1,3,5,7,7-hexanitro-3,5-diazaheptane: Crystal structure and sensitivity to mechanical actions

The X-ray crystallographic analysis of 1,7-difluoro-1,1,3,5,7,7-hexanitro-3,5-diazaheptane has been carried out. We have also determined its sensitivity to mechanical actions and a set of calculated and experimental data on explosion characteristics.     

The new identity for the scattering matrix of exactly solvable models

We discovered a simple quadratic equation, which relates scattering phases of particles on Fermi surface. We consider one-dimensional Bose gas and XXZ Heisenberg quantum spin chain. Received: 4 December 1997 / Accepted: 17 March 1998     

Generating functional of correlation functions for the nonlinear Schrödinger equation

Functional Analysis and Its Applications -     

Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain

It is shown that the two-point time-dependent temperature correlators of the XXO Heisenberg spin chain satisfy a system of classical equations in the distance between correlating spins and time. This system is an integrable lattice version of the nonlinear Schrödinger equation. Bibliography: 17 titles.     

Quantization of a non-Abelian Toda chain

The quantum inverse scattering method is used to study a non-Abelian Toda chain. The quantum R-matrix describing the commutation relations between the elements of the monodromy matrix of the corresponding auxiliary linear problem is computed.