5 papers
Geometric Quantization on Orbifolds
Peiyuan Teng
This text introduces geometric quantization on orbifolds. After reviewing the necessary background, it develops new treatments of prequantization, polarizations, and metaplectic co…
Random Matrix Time Series
Peiyuan Teng, Min Xu
In this paper, a time series model with coefficients that take values from random matrix ensembles is proposed. Formal definitions, theoretical solutions, and statistical propertie…
Machine learning quantum mechanics: solving quantum mechanics problems using radial basis function networks
Peiyuan Teng
Inspired by the recent work of Carleo and Troyer[1], we apply machine learning methods to quantum mechanics in this article. The radial basis function network in a discrete basis i…
Accurate calculation of the geometric measure of entanglement for multipartite quantum states
Peiyuan Teng
This article proposes an efficient way of calculating the geometric measure of entanglement using tensor decomposition methods. The connection between these two concepts is explore…
Generalization of the tensor renormalization group approach to 3-D or higher dimensions
Peiyuan Teng
In this paper, a way of generalizing the tensor renormalization group(TRG) is proposed. Mathematically, the connection between patterns of tensor renormalization group and the conc…