Final Report.

Abstract

Using the method of Backlund transformations the investigators studied in detail classical and quantum two dimensional completely integrable systems, and lattice models equivalent to and approximating these continuous systems were constructed and examined. Among the continuous systems thoroughly examined in this way are the following important models of quantum field theory and statistical mechanics: the matrix (quantum and classical) nonlinear Schrodinger equation, the sin-Gordon equation, the matrix (non-Abelian) Toda lattice, the generalized XXX-and XXZ-quantum models and models of statistical mechanics, and the quantum generalized XYZ-lattice system (whose classical counterpart is the Landau-Lifshitz equation of superconductivity and whose statistical mechanics reductions include the eight-vertex model of Baxter.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA127996

Entities

People

  • D. V. Chudnovsky
  • G. V. Chudnovsky

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Algebraic Functions
  • Algebraic Topology
  • Applied Mathematics
  • Boundary Value Problems
  • Cauchy Problem
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Hypergeometric Functions
  • Linear Differential Equations
  • Mathematics
  • Mechanics
  • Physics
  • Schrodinger Equation
  • Statistical Mechanics
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Linear Algebra
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing