Final report. Report for 1 Mar 78-30 Jun 82. [Baecklund transformations in classical and quantum mechanics]

Technical Report · Sat Jan 01 04:00:00 EST 1983

OSTI ID:5808574

Chudnovsky, D V; Chudnovsky, G V

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 sine-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.

• Research Organization: Columbia Univ., New York (USA)
• OSTI ID: 5808574
• Report Number(s): AD-A-127996/7
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BAECKLUND TRANSFORMATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SINE-GORDON EQUATION
STATISTICAL MECHANICS
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS