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

โœ Scribed by Th.W. Ruijgrok; J. Jurkiewicz

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
610 KB
Volume
103
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

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 Schriidinger equation in N dimensions; (c) relation to the static sine-Gordon equation; (d) numerical calculations of finite-energy solutions in two and three dimensions.

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