How to prepare quantum states that follow classical paths
arXiv:1001.0308 · doi:10.1209/0295-5075/92/30007
Abstract
We present an alternative quantization procedure for the one-dimensional non-relativistic quantum mechanics. We show that, for the case of a free particle and a particle in a box, the complete classical and quantum correspondence can be obtained using this formulation. The resulting wave packets do not disperse and strongly peak on the classical paths. Moreover, for the case of the free particle, they satisfy minimum uncertainty relation.
10 pages, 3 figures, to appear in Europhysics Letters