Detailed versus restricted quantum-classical correspondence (2000-2006)

The conditions under which quantum and classical dynamics agree have been first discussed by Bohr. This traditional discussion misses an important distinction between two theoretically different types of quantum-classical correspondence (QCC), as highlighted in several of my publications (involving various collaborations).
 
Considering wavepacket spreading we distinguish between robust "restricted QCC" and fragile "detailed QCC". The former refers to the first and second moments of the probability distribution, and is true even when the wave packet diffracts. In contrast to that "detailed QCC" requires smooth potentials that vary over scales much larger than the wavelength, which is what Bohr had considered.