论文标题
使用特征向量延续的有效仿真器用于散射
Efficient emulators for scattering using eigenvector continuation
论文作者
论文摘要
特征向量延续EC已被证明可以准确有效地繁殖靶向的汉密尔顿参数集的基态。它用作变异基础向量，来自选定的其他参数集的相应基态特征。在这里，我们使用KOHN变异原理扩展了EC散射的方法。我们首先使用用于S波核子核子散射的模型对其进行测试，然后证明它还可以为非本地电位，带电的粒子散射，复杂的光学电位和较高的部分波提供准确的预测。这些原则证明将EC验证为将贝叶斯推断应用于通过散射可观察物限制的参数估计的精确模拟器。此类模拟器的效率是因为使用少数变异基础元素达到了准确性，而中心计算只是此基础上跨越的空间中的线性代数计算。
Eigenvector continuation EC has been shown to accurately and efficiently reproduce ground states for targeted sets of Hamiltonian parameters. It uses as variational basis vectors the corresponding ground-state eigensolutions from selected other sets of parameters. Here we extend the EC approach to scattering using the Kohn variational principle. We first test it using a model for S-wave nucleon-nucleon scattering and then demonstrate that it also works to give accurate predictions for non-local potentials, charged-particle scattering, complex optical potentials, and higher partial waves. These proofs-of-principle validate EC as an accurate emulator for applying Bayesian inference to parameter estimation constrained by scattering observables. The efficiency of such emulators is because the accuracy is achieved with a small number of variational basis elements and the central computations are just linear algebra calculations in the space spanned by this basis.
