Bayesian Integration for Hamiltonian Parameters of Crystal Field

Abstract

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.