Coherent states for continuous spectrum operators with non-normalizable fiducial states
Abstract
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.
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