作品简介
本书介绍了过去三十年发展起来的张量网络态重正化群理论。本书首先介绍了张量网络态的分解和取值所需的张量代数基础。之后,本书又介绍了量子态的张量网络表示、量子算子、配分函数(例如矩阵乘积态)、投影纠缠对态等。
接下来,本书又介绍了密度矩阵重正化群(DMRG)及其各
出版社北京大学出版社
ISBN9787301353875
共 32 章
“中外物理学精品书系”(三期)编委会试读
序言试读
Preface试读
Unit Used试读
Notations and Graphical Representations试读
List of Abbreviations试读
1Introduction试读
2Basic Algebra of Tensors试读
3Tensor Network Representation of Classical Statistical Models试读
4Tensor Network Representation of Operators试读
5Tensor Network Ansatz of Wave Functions试读
6 Criterion of Truncation: Symmetric Systems试读
7 Real-Space DMRG
8Implementation of Symmetries
9DMRG with Nonlocal Basis States
10 Matrix Product States
11Infinite Matrix Product States
12Determination of MPS
13 Continuous Matrix Product States
14Classical Transfer Matrix Renormalization
15 Criterion of Truncation: Nonsymmetric Systems
16Renormalization of Quantum Transfer Matrices
17 MPS Solution of QTMRG
18Dynamical Correlation Functions
19Time-Dependent Methods
20 Tangent-Space Approaches
21Tree Tensor Network States
22Two-Dimensional Tensor Network States
23Coarse-Graining Tensor Renormalization
Appendix Other Numerical Methods
References
Index

