1987
DOI: 10.1007/bf01303725
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Integrable and nonintegrable classical spin clusters

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Cited by 41 publications
(32 citation statements)
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“…, is equal to l and the other one is zero, in accordance with our analysis of the classical motion [17,18]. In the Ising case (J = 0), the situation is even simpler; here the canonical variables (II.7) are already action-angle variables.…”
Section: Quantum Numbers M1 M2supporting
confidence: 61%
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“…, is equal to l and the other one is zero, in accordance with our analysis of the classical motion [17,18]. In the Ising case (J = 0), the situation is even simpler; here the canonical variables (II.7) are already action-angle variables.…”
Section: Quantum Numbers M1 M2supporting
confidence: 61%
“…Integrability of that system requires the existence of a 2 nd integral of the motion, I(S 1 , S 2 ), in addition to the energy function H(S 1 , S 2 ). In a previous study [17], we showed that with no single-site anisotropy, A x = A y = A z , the 2-spin system (II.2) is always integrable and the 2 nd analytic invariant has the form…”
Section: The 2-spin Clustermentioning
confidence: 99%
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“…[14] The impact of nonintegrability on both the quantum invariant-web and the classical invariant-surface is conspicuously displayed in Fig. 3.…”
Section: Nonintegrable Two-spin Systemmentioning
confidence: 99%
“…[14] The value of the constant S is irrelevant for the issues discussed here. Hence it will be suppressed in any list of independent variables.…”
Section: Integrable and Nonintegrable Classical Spin Systemsmentioning
confidence: 99%