贝叶斯逆量子理论
Bayesian Inverse Quantum Theory
摘要：
贝叶斯方法的发展，以确定量子力学的潜力，从经验数据。贝叶斯方法结合了经验测量和“先验”信息，为这种经验学习问题提供了灵活的工具。本文介绍了基本理论，特别是集中在有限温度下的量子力学系统中的粒子坐标的测量。数值算例表明了该方法的计算可行性。最后，它示出了如何的方法可以推广到这样的多体和少体系统的平均场描述是适当的。这是通过贝叶斯逆Hartree-Fock近似来完成的。
英文摘要：
A Bayesian approach is developed to determine quantum mechanical potentials from empirical data. Bayesian methods, combining empirical measurements and "a priori" information, provide flexible tools for such empirical learning problems. The paper presents the basic theory, concentrating in particular on measurements of particle coordinates in quantum mechanical systems at finite temperature. The computational feasibility of the approach is demonstrated by numerical case studies. Finally, it is shown how the approach can be generalized to such many-body and few-body systems for which a mean field description is appropriate. This is done by means of a Bayesian inverse Hartree-Fock approximation.
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