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arXiv · 1111.6913

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

Joseph Ben Geloun·Jeff Hnybida·John R. Klauder
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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 $(p^2 - x^2)$ are explicitly provided. Similar ideas can be used for other systems having non-normalizable fiducial states.

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Joseph Ben Geloun, Jeff Hnybida, John R. Klauder. 2011-11-29. Coherent states for continuous spectrum operators with non-normalizable fiducial states. https://doi.org/10.1088/1751-8113/45/8/085301

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