On a new formulation of the continuum Heisenberg spin system in a space of arbitrary dimensionality

Th.W. Ruijgrok and J. Jurkiewicz

Physica A: Statistical Mechanics and its Applications, 1980, vol. 103, issue 3, 573-585

Abstract: The classical equations of motion of a continuum Heisenberg spin system in N dimensions are written in the form of equations for a particle field and a gauge field. Known results, such as the exact solution for N = 1 and the self-dual solution for N = 2, are recovered. Of the new results we mention: (a) velocity independence of the soliton-energy for N = 1; (b) equivalence with a nonlinear Schrödinger equation in N dimensions; (c) relation to the static sine-Gordon equation; (d) numerical calculations of finite-energy solutions in two and three dimensions.

Date: 1980
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:103:y:1980:i:3:p:573-585

DOI: 10.1016/0378-4371(80)90026-6

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