3 papers
math-ph1999
On Lieb's conjecture
Horia Scutaru
The reformulation of Lieb's conjecture, in the frame of the harmonuic analysis on the SO(3) group, makes it evident that the exact value of the classical entropy of a pure quantum…
math-ph1999
Coherent states and uncertainty relations
Horia Scutaru
A sharp estimation of the -norms of some matrix coefficients of the square integrable representations is conjectured. The conjecture can be proved for integer values of us…
quant-ph1999
A new measure of nonclassical distance
Horia Scutaru
We propose a new measure of the nonclassical distance in the case of Gaussian states. Let us consider two Gaussian states one of which is fixed and the other runs through the set o…