Collective coordinates and linear modes of the double-sine-Gordon kink

Conference · Thu May 01 04:00:00 EDT 1986

OSTI ID:7010202

Willis, C R; El-Batanouny, M; Sodano, P

A complete Hamiltonian treatment of a kink is presented with an internal degree of freedom, namely the double-sine-Gordon (DSG) kink. In this formalism two canonical coordinates are assigned and their associated momenta are used to describe the motion of the center of mass of the DSG kink and the relative motion of its two sub-kinks. It is shown that the canonical coordinate representing the separation of the two sub-kinks describes a nonlinear oscillatory degree of freedom. The method of supersymmetry is also used to obtain, for the first time, the complete set of eigenfunctions of small oscillations about the 4..pi.. DSG kink. This analysis was motivated by the need for an accurate expression of the shape mode in the Hamiltonian formalism. 8 refs. (DWL)

• Research Organization: Boston Univ., MA (USA). Dept. of Physics; Massachusetts Inst. of Tech., Cambridge (USA)
• DOE Contract Number: FG02-85ER45222
• OSTI ID: 7010202
• Report Number(s): DOE/ER/45222-8; CONF-8605199-2; ON: DE87000987
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FUNCTIONS
HAMILTONIAN FUNCTION
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICS
SOLID STATE PHYSICS
STATISTICAL MECHANICS
SUPERSYMMETRY
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS