%0 Journal Article
%T The Classical Limit of Quantum Mechanics and the Fejer Sum of the Fourier Series Expansion of a Classical Quantity
%A Q. H. Liu
%J Physics
%D 2000
%I arXiv
%R 10.1088/0305-4470/32/4/003
%X In quantum mechanics, the expectation value of a quantity on a quantum state, provided that the state itself gives in the classical limit a motion of a particle in a definite path, in classical limit goes over to Fourier series form of the classical quantity. In contrast to this widely accepted point of view, a rigorous calculation shows that the expectation value on such a state in classical limit exactly gives the Fej\'{e}r's arithmetic mean of the partial sums of the Fourier series.
%U http://arxiv.org/abs/quant-ph/0008005v1