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Recently obtained results on linear energy bounds are generalized toarbitrary spin quantum numbers and coupling schemes. Thereby the class ofso-called independent magnon states, for which the relative ground-stateproperty can be rigorously established, is considerably enlarged. We stillrequire that the matrix of exchange parameters has constant row sums, but thiscan be achieved by means of a suitable gauge and need not be considered as aphysical restriction

Linear energy bounds for Heisenberg spin systems