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

Details Coherent states for continuous spectrum operators with non-normalizable fiducial states Coherent states for continuous spectrum operators with non-normalizable fiducial states

2011-11-29

arxiv.org/abs/1111.6913v2

Physics

Mathematical Physics

17 pages, typos corrected, references added

Scientific paper

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 $(p^2 - x^2)$ are explicitly provided. Similar ideas can be used for other systems having non-normalizable fiducial states.

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