Preparation and properties of N-fluoro- and N-nitrobis(2,2,2-trinitroethyl)ureas

Fluorination and nitration of bis(2,2,2-trinitroethyl)urea has given the novel N-fluoro-bis(2,2,2-trinitroethyl)urea and N-nitro-bis(2,2,2-trinitroethyl)urea. The thermal decomposition rates and parameters for bis(2,2,2-trinitroethyl)urea and its derivatives have been found, and the standard enthalpies of combustion, and the standard enthalpies of formation of these compounds calculated therefrom, have been determined.Institute of Chemical Physics, Russian Academy of Sciences, 142432 Chernogolovka. Translated from Izvestiya Akademii Nauk, Seriya Khimicheskaya, No. 8, pp. 1857–1863, August, 1992.     

Dressing equations for correlation functions

Correlation functions of two-dimensional integrable models of quantum field theory and statistical physics are investigated. Dressing equations for the correlation functions are obtained in a model where the vacuum is filled with bound states of bare particles. This equation makes it possible to write the correlators in the form of a convergent series.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Enstituta im. V. A. Steklova AN SSSR, Vol. 145, pp. 134–139, 1985.     

Preparation of quaternary ammonium salts with a perhydroimidazo[1,5-c]oxazolium molecular skeleton

Russian Chemical Bulletin -     

N-Fluorination of bis(polynitroalkyl)amines

Conclusions The fluorination of bis(polynitroalkyl)amines by elemental fluorine in acetic acid gave a series of bis(polynitroalkyl)-N-fluoramines.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 12, pp. 2859–2860, December, 1987.     

The inverse scattering method approach to the quantum Shabat-Mikhailov model

The Shabat-Mikhailov model is treated in the framework of the quantum inverse scattering method. The Baxter'sR-matrix for the model is calculated.     

The quantum inverse scattering method approach to correlation functions

The inverse scattering method approach is developed for calculation of correlation functions in completely integrable quantum models with theR-matrix of XXX-type. These models include the one-dimensional Bose-gas and the Heisenberg XXX-model. The algebraic questions of the problem are considered.     

Correlation functions of the one-dimensional Bose gas in the repulsive case

The one-dimensional Bose gas model coincides with the quantum version of the nonlinear Schrodinger equation. In the repulsive case the ground state of the system is a Dirac sea with finite density. Correlation functions in this model are calculated using the quantum inverse scattering method.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 133, pp. 133–145, 1984.The author is grateful to L. D. Faddeev for useful discussions.     

Quasiperiodic tilings and quasicrystals

One gets quasiperiodic tilings by projecting a periodic lattice from a space of a larger number of dimensions. One can choose a fundamental domain of the lattice in various ways — this leads to different quasi-periodic tilings. Thus, one can generalize Penrose's nonperiodic tiling of the plane and the same for space filling.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 116–135, 1986.Finally, I would like to express my gratitude to M. M. Skriganov for discussions.