CONTENTS Introduction § 1. Classical statistical physics on a two-dimensional lattice and
quantum mechanics on a chain § 2. Connection with the inverse problem method § 3. The six-…

A review dedicated to the contemporary methods of quantization of the gravitational field. In
view of possible applications to elementary particle theory, the authors consider only …

It is shown that the eigenfunctions of the Hamiltonian of a three-particle system with pair
interaction can be represented in a natural fashion as the sum of three terms, for each of which …

The review is devoted to a discussion of the definition and properties of energy in Einstein's
theory of gravitation. Asymptotically flat space-time is defined in terms of admissible …

This book presents the foundations of the inverse scattering method and its applications to
the theory of solitons in such a form as we understand it in Leningrad. The concept of …

The last decade witnessed an increasing interest of mathematicians in prob lems originated
in mathematical physics. As a result of this effort, the scope of traditional mathematical …

I study the technique of Algebraic Bethe Ansatz for solving integrable models and show how
it works in detail on the simplest example of spin 1/2 XXX magnetic chain. Several other …

The term “quantum group”, introduced by V. Drinfeld (Proceedings of ICM-86, Berkeley, vol.
1, p. 798. AMS, Providence, 1987), applies in fact to two dual objects: q-deformation of the …

The work gives a consistent and uniform exposition of all known results related to Heisenberg
model. The classification of excitations is presented and their scattering is described both …

The quantum inverse scattering method is used to solve model of the principal chiral field in
1 + 1 dimension. A different approach based on fermionization was proposed before by AM …