Abstract
Coherent states for a large class of the Lenz-Demkov-Ostrovsky (LDO) potentials are constructed as superpositions of zero-energy Hamiltonian eigenstates. They represent very well-localized stationary wave packets. Moreover, it is shown how to make the packets move along suitable classical orbits. The calculations are performed for a few members of the LDO family of potentials, among them, for the Maxwell's fish-eye model and that used for a theoretical explanation of the periodic system of elements.
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