More on generalized Heisenberg ferromagnet models

Phillial Oh; Q. Han Park

doi:10.1016/0370-2693(96)00740-X

More on generalized Heisenberg ferromagnet models

Phillial Oh, Q. Han Park

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	333-338
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	383
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(96)00740-X
Publication status	Published - 1996 Sept 5
Externally published	Yes

Bibliographical note

Funding Information:
We like to thank Prof. H.J. Shin for useful discussions. This work is supportedin part by the programo f Basic Science Research,M inistry of Education BSRI-952442/BSRI-951419, and by Korea Science and Engineering Foundation through the Center for Theoretical Physics, SNU.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(96)00740-X

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title = "More on generalized Heisenberg ferromagnet models",

abstract = "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 Schr{\"o}dinger models is given. Using the equivalence, we find infinitely many conserved integrals of both models.",

author = "Phillial Oh and Park, {Q. Han}",

note = "Funding Information: We like to thank Prof. H.J. Shin for useful discussions. This work is supportedin part by the programo f Basic Science Research,M inistry of Education BSRI-952442/BSRI-951419, and by Korea Science and Engineering Foundation through the Center for Theoretical Physics, SNU.",

year = "1996",

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doi = "10.1016/0370-2693(96)00740-X",

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T1 - More on generalized Heisenberg ferromagnet models

AU - Oh, Phillial

AU - Park, Q. Han

N1 - Funding Information: We like to thank Prof. H.J. Shin for useful discussions. This work is supportedin part by the programo f Basic Science Research,M inistry of Education BSRI-952442/BSRI-951419, and by Korea Science and Engineering Foundation through the Center for Theoretical Physics, SNU.

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

SN - 0370-2693

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

IS - 3

ER -

More on generalized Heisenberg ferromagnet models

Abstract

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