Lattice regularizations of two-dimensional quantum-field models

Completely integrable lattice versions of the nonlinear Schrödinger equation and the sine-Gordon model are formulated in the quantum and classical cases. The group meaning of exact L-operators is discussed, and local Hamiltonians are constructed.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 120, pp. 75–91, 1982.We thank L. D. Faddeev for useful discussions.     

The lattice quantum Sine-Gordon model

The integrable statistical physics model on the rectangular two-dimensional lattice which we call the L-model is constructed. This model generates the integrable quantum sine-Gordon model on the one-dimensional lattice in the same way as the ice model generates the XXZ model.     

N-substituted tetrahydro-1,3-oxazines and -oxazolidines. 2. Nitration of <Emphasis Type="Italic">N</Emphasis>-(ω-acylamino-β,β-dinitroalkyl)tetrahydro-1,3-oxazines and -oxazolidines

Nitration of N-(ω-acylamino0-β,β-dinitroalkyl)tetrahydro-1,3-oxazines and N-(ω-acylamino-β,β-dinitroalkyl)oxazolidines resulted in O-nitrates bearing amide, dinitromethylene, and nitroamine groups. It was found that nitration can be accompanied by N-hydroxymethylation of the amide group. Three nitrates synthesized were tested for, and exhibited good level of, cardioprotection.     

A quantum version of the inverse scattering transformation

We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix. This formula may be understood as a quantum version of the classical inverse scattering transformation.