Classical limit of sine-Gordon thermodynamics using Bethe-Ansatz

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1988

OSTI ID:6049303

Chen, Niu-Niu

Among nonlinear systems, the sine-Gordon model plays a very important role both for describing many quasi-one-dimensional physical systems and for the development of mathematical theories. Its thermodynamics has been studied in three different ways: the classical transfer integral method, the semi-classical path-integral method, and the quantum Bethe-Ansatz method. The Bethe-Ansatz gives the exact solution for the quantum sine-Gordon model, and its thermodynamics is determined by a set of coupled integral equations. The previous efforts to link the three different methods failed because, in the classical limit, the number of those coupled equations goes to infinity. This work shows that this divergent number of equations can be transformed into only two in the classical limit, and the free energy of the system can then be calculated analytically by solving these two integral equations by iteration. The result is in exact agreement with that from the transfer integral method.

• Research Organization: Virginia Univ., Charlottesville, VA (USA)
• OSTI ID: 6049303
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
FIELD EQUATIONS
MECHANICS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
QUASI PARTICLES
SINE-GORDON EQUATION
SOLITONS
STATISTICAL MECHANICS
THERMODYNAMICS