Example of a relativistic, completely integrable, Hamiltonian system

Journal Article · Mon May 23 00:00:00 EDT 1977 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.38.1175· OSTI ID:7310313

Lund, F

The initial value problem for a system of two relativistic scalar fields in two space-time dimensions is solved. One of them has a self-interaction of the sine-Gordon type, while the other is massless and moves in a background geometry which has a dynamical evolution of its own. The system has soliton solutions and is shown to be completely integrable using the inverse scattering method. The appropriate linear equations are found by thinking of the problem as the isometric embedding of a surface in a three-dimensional Euclidean space.

• Research Organization: The Institute for Advanced Study, Princeton, New Jersey 03540
• OSTI ID: 7310313
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 38:21
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SCALAR FIELDS
BOUNDARY-VALUE PROBLEMS
ANALYTICAL SOLUTION
EQUATIONS OF MOTION
HAMILTONIANS
INVERSE SCATTERING PROBLEM
LAGRANGIAN FUNCTION
SINE-GORDON EQUATION
SOLITONS
SPACE-TIME
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
QUASI PARTICLES
645400* - High Energy Physics- Field Theory