Hamiltonian dynamics of the double sine-Gordon kink

Journal Article · Sun Mar 01 04:00:00 EST 1987 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.35.3496· OSTI ID:6136466

Willis, C R; El-Batanouny, M; Burdick, S; Boesch, R; Sodano, P

We present a complete Hamiltonian treatment of a kink with an internal degree of freedom, namely the double sine-Gordon (DSG) kink. In this formalism we assign two canonical coordinates and their associated momenta to describe the motion of the center of mass of the DSG kink and the relative motion of its two subkinks. We show that the canonical coordinate representing the separation of the two subkinks describes a nonlinear oscillatory degree of freedom. Consequently, the DSG kink behaves like a ''molecule'' (4..pi.. kink) comprised of two ''atoms'' (each of a single 2..pi.. kink) held together by a nonlinear potential. As an application of our formalism, we obtain the solutions for the nonlinear internal motion of the DSG in the absence of the radiation field.

• Research Organization: Department of Physics, Boston University, Boston, Massachusetts 02215
• OSTI ID: 6136466
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 35:7; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DYNAMICS
EQUATIONS
EVEN-ODD NUCLEI
FIELD EQUATIONS
HAMILTONIANS
HELIUM 3
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL OPERATORS
MECHANICS
NONLINEAR PROBLEMS
NUCLEI
QUANTUM OPERATORS
QUASI PARTICLES
SINE-GORDON EQUATION
SOLITONS
STABLE ISOTOPES