The Pauli principle for one-dimensional bosons and the algebraic bethe ansatz

To construct the physical vacuum in completely integrable models of one-dimensional boson fields, it is essential that the momenta of all particles be distinct. A proof is present that they actually are distinct.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 120, pp. 69–74, 1982.In conclusion we thank L. D. Fadeev for useful discussions.     

Molecular simulation of LiCl aqueous solutions

Non-primitive LiCl aqueous electrolyte solutions were studied at 1.0, 5.0 and 10.0 M concentrations by molecular dynamics simulations. It was observed that the ion hydration structure is progressively lost with increasing concentration. The ions are aggregated in small clusters at C = 1.0 M. However, at this concentration, two large clusters were detected that are an initial step in an aggregation process. At C = 5.0 M, the highly unstable ion clustering seems to correspond to an intermediary state between low concentration states with poor aggregation and states where the ions are highly aggregated, as observed at C = 10.0 M where almost all the ions are clustered in one cluster. This cluster does not present a crystal-like structure. The high solubility of LiCl in aqueous solutions can consequently be explained as a result of the large radii difference between the anion and the cation that results in the instability of the ionic aggregates, which makes the formation of crystal seeds difficult.     

Effect of the deletion of the C region on the structure and hydration of insulin-like growth factor 1: a molecular dynamics investigation

The structure and hydration of insulin-like growth factor 1 and an inactive mutant lacking the C region have been investigated in aqueous solution by molecular dynamics simulation. The overall structures of the two polypeptide resemble those determined by NMR spectroscopy. The deletion of the C region in the wild polypeptide introduces structural stability in the mutant, leading to a better definition of the secondary structure elements. A detailed hydration analysis was performed using the radial distribution functions and energy distributions. The backbone of the mutant is in general more solvent accessible than the wild polypeptide backbone. The structural rearrangements induced in the mutant led to changes in the solvent exposition of Tyr24 and Tyr60, which are residues important for ligand—receptor complex formation. Tyr24 exhibited a similar degree of solvent exposition in both IGF-I and in the mutant; however, its hydroxyl group in the wild polypeptide is better solvated than in the mutant. Tyr60 was found to be solvent exposed in the wild protein, while in the mutant the involvement of its hydroxyl group in intramolecular hydrogen bonds led to it being buried away from the solvent.     

Complete screening in a one-dimensional Bose gas

The complete screening conjecture is proved for a one-dimensional quantizer Bose gas at zero temperature. The asymptotics of the squared particle number operator on a finite interval are found.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 150, pp. 3–6, 1986.The authors thank A. G. Izergin for discussions.     

Low-temperature asymptotics of correlators in a one-dimensional Bose gas

In completely integrable models the asymptotic form of correlators over great distances is universal in the case when the temperature is significantly less than the Fermi energy. The asymptotic forms of all the correlators are determined by a single critical exponent which depends only on the R matrix and the Fermi momentum.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 169, pp. 91–94, 1988.In conclusion, the author would like to express his thanks to N. M. Bogolyubov for useful discussions.     

Correlation functions in the quantum inverse scattering method

A method for calculating correlation functions for completely integrable models in the framework of the quantum inverse scattering method is proposed.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 133, pp. 92–112, 1984.The authors thank L. D. Faddeev for discussions.     

Synthesis of fluorodinitroalkylcarbamates

Conclusions Carbamates containing a fluorodinitromethyl group and their N-nitro derivatives are prepared for the first time.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 11, pp. 2564–2566, November, 1969.