TY - JOUR
T1 - More on generalized Heisenberg ferromagnet models
AU - Oh, Phillial
AU - Park, Q. Han
PY - 1996/9/5
Y1 - 1996/9/5
N2 - We generalize the integrable Heisenberg ferromagnet model according to each Hermitian symmetric spaces and address various new aspects of the generalized model. Using the first order formalism of generalized spins which are defined on the coadjoint orbits of arbitrary groups, we construct a Lagrangian of the generalized model from which we obtain the Hamiltonian structure explicitly in the case of CP(N - 1) orbit. The gauge equivalence between the generalized Heisenberg ferromagnet and the nonlinear Schrödinger models is given. Using the equivalence, we find infinitely many conserved integrals of both models.
AB - We generalize the integrable Heisenberg ferromagnet model according to each Hermitian symmetric spaces and address various new aspects of the generalized model. Using the first order formalism of generalized spins which are defined on the coadjoint orbits of arbitrary groups, we construct a Lagrangian of the generalized model from which we obtain the Hamiltonian structure explicitly in the case of CP(N - 1) orbit. The gauge equivalence between the generalized Heisenberg ferromagnet and the nonlinear Schrödinger models is given. Using the equivalence, we find infinitely many conserved integrals of both models.
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U2 - 10.1016/0370-2693(96)00740-X
DO - 10.1016/0370-2693(96)00740-X
M3 - Article
AN - SCOPUS:0000004129
VL - 383
SP - 333
EP - 338
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 3
ER -