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arXiv · 2009.09921

Coherent States of Systems with Pure Continuous Energy Spectra

Zouhair Mouayn·Hashim A. Yamani
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Abstract

While dealing with a Hamiltonian with continuous spectrum we use a tridiagonal method involving orthogonal polynomials to construct a set of coherent states obeying a Glauber-type condition. We perform a Bayesian decomposition of the weight function of the orthogonality measure to show that the obtained coherent states can be recast in the Gazeau-Klauder approach. The Hamiltonian of the $\ell$-wave free particle is treated as an example to illustrate the method.

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Zouhair Mouayn, Hashim A. Yamani. 2020-09-21. Coherent States of Systems with Pure Continuous Energy Spectra. https://doi.org/10.1063/5.0030759

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