一种涉及Fox-Wright函数的新类相干态及其在双复框架中的推广
A new class of coherent states involving Fox-Wright functions and their generalization in the bicomplex framework
AI总结：
本文提出了一种基于Fox-Wright函数的新型相干态，并在双复框架中进行了推广，探讨了其归一化性质和连续谱应用。
摘要：
本文引入了一种广泛的相干态类，通过将Fox-Wright函数作为归一化函数。证明这些状态满足连续性、可归一化和单位分解的关键要求。此外，通过离散到连续的极限过程获得与连续谱相关的相干态。进一步引入了FW广义多参数nu函数，并展示其作为Fox-Wright相干态在连续谱中的归一化函数。随后引入了具有双复参数的Fox-Wright函数，并对其存在性进行了调查。基于此新函数，还为离散谱开发了双复Fox-Wright相干态，并分析了其性质。随后，关于Fox-Wright相干态的结果被推广到双复设置中。此外，定义了一个双复FW广义多参数nu函数，以证明其为这些状态在连续谱中的归一化函数。
英文摘要：
In this work, an extensive class of coherent states is introduced by taking the Fox Wright function as the normalization function. It is demonstrated that these states satisfy the key requirements of continuity, normalizability and resolution of unity. Furthermore, coherent states associated with the continuous spectrum are obtained through a discrete to continuous limiting procedure. Moreover, FW generalized multi parameter nu function is introduced and shown to act as the normalization function for the Fox Wright coherent states in the continuous spectrum. Later the Fox Wright function with bicomplex arguments has been introduced and its existence has been investigated. Bicomplex Fox Wright coherent states are also developed for the discrete spectrum based on this new function and their properties are analyzed. Subsequently, the results regarding Fox Wright coherent states are generalized to the bicomplex setting. In addition, a bicomplex FW generalized multi-parameter nu function is defined to demonstrate that it provides the normalization for these states in the continuous spectrum.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
