Ayumu Sugita 2002 J. Phys. A: Math. Gen. 35 L621 doi:10.1088/0305-4470/35/42/105
Proof of the generalized Lieb-Wehrl conjecture for integer indices larger than one
FREE ARTICLEAyumu Sugita
Show affiliationsLETTER TO THE EDITOR
Gnutzmann and 
yczkowski have proposed the Rényi–Wehrl entropy as a generalization of the Wehrl entropy, and conjectured that its minimum is obtained for coherent states. We prove this conjecture for the Rényi index q = 2, 3, ... in the cases of compact semisimple Lie groups. A general formula for the minimum value is given.
- PACS
- MSC
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81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
- Subjects
- Dates
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Issue 42 (25 October 2002)
Received 6 September 2002
Published 8 October 2002
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Proof of the generalized Lieb-Wehrl conjecture for integer indices larger than one
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