Multidimensional measurements and a cohesive interpretation of the obtained results are imperative for comprehending the underlying mechanisms of physical phenomena. In this dissertation, we propose the utilization of Bayesian integration as a method for obtaining a consolidated interpretation of results, based on Bayesian inference. We focus on 4f electron systems, which can be comprehended through the use of a relatively simple Hamiltonian. The measurements performed center on fundamental macroscopic properties: magnetic susceptibility and specific heat. We conduct simulations utilizing data obtained from two distinct measurements, namely magnetic susceptibility and specific heat, and demonstrate that the implementation of Bayesian integration enhances precision.

中文翻译：

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晶体场哈密顿参数的贝叶斯积分

多维测量和对所获得结果的连贯解释对于理解物理现象的潜在机制至关重要。在本论文中，我们提出利用贝叶斯积分作为基于贝叶斯推理获得结果的统一解释的方法。我们关注 4 f电子系统，可以通过使用相对简单的哈密顿量来理解。测量的重点是基本的宏观特性：磁化率和比热。我们利用从磁化率和比热这两个不同测量中获得的数据进行模拟，并证明贝叶斯积分的实施可以提高精度。