Type: Article
Publication Date: 2012-02-08
Citations: 13
DOI: https://doi.org/10.1088/1751-8113/45/8/085301
The problem of building coherent states from non-normalizable fiducial states is considered. We propose a way of constructing such coherent states by regularizing the divergence of the fiducial state norm. Then we successfully apply the formalism to particular cases involving systems with a continuous spectrum: coherent states for the free particle and for the inverted oscillator (p2 − x2) are explicitly provided. Similar ideas can be used for other systems having non-normalizable fiducial states.