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Coherent states of systems with pure continuous energy spectra
Journal of Mathematical Physics ( IF 1.3 ) Pub Date : 2021-06-16 , DOI: 10.1063/5.0030759
Zouhaïr Mouayn 1, 2 , Hashim A. Yamani 3
Affiliation  

While dealing with a Hamiltonian with a 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 -wave free particle is treated as an example to illustrate the method.

中文翻译:

纯连续能谱系统的相干态

在处理具有连续谱的哈密顿量时,我们使用涉及正交多项式的三对角方法来构造一组服从格劳伯型条件的相干态。我们对正交性度量的权重函数进行贝叶斯分解,以表明可以在 Gazeau-Klauder 方法中重铸获得的相干状态。所述的哈密顿 -wave自由粒子被视为一个例子来说明该方法。
更新日期:2021-06-30
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