Abstract
The classical entropy of a coherent state of an N-spin system, which is N/(N + 1), was conjectured by Lieb to be the minimum. To prove it was our original motive. But we can only prove that this entropy is a local minimum. An arbitrary N-spin state is represented by N points on the surface of the unit sphere. For a coherent state, these N points condense into a single point. This is the basis for the proof. It is also conjectured here that the maximum entropy is attained when the N points form a possible regular polyhedron.
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© 1988 Kluwer Academic Publishers
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Lee, C.T. (1988). Classical Entropy of a Coherent Spin State: A Local Minimum. In: Erickson, G.J., Smith, C.R. (eds) Maximum-Entropy and Bayesian Methods in Science and Engineering. Fundamental Theories of Physics, vol 31-32. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9054-4_8
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DOI: https://doi.org/10.1007/978-94-010-9054-4_8
Publisher Name: Springer, Dordrecht
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