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Herstellerkennzeichnung
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Autorenporträt
Tao Xiang is Professor at the Institute of Physics, Chinese Academy of Sciences (CAS), and specializes in condensed matter theory. He is a CAS academician and a fellow of the World Academy of Sciences, and has received the He-Leung-He-Lee Prize for Scientific and Technological Progress, among other awards.
Inhaltsangabe
Preface Abbreviations Unit used Notations and graphical representations 1. Introduction 2. Basic algebra of tensors 3. Tensor network representation of classical statistical methods 4. Tensor-network ansatz of wave functions 5. Criterion of truncation: symmetric systems 6. Real-space DMRG 7. Implementation of symmetries 8. DMRG with non-local basis states 9. Matrix Product States 10. Infinite Matrix Product States 11. Determination of MPS 12. Continuous Matrix Product States 13. Classical Transfer Matrix Renormalization 14. Criterion of truncation: non-symmetric systems 15. Renormalization of quantum transfer matrices 16. MPS solution of QTMRG 17. Dynamical Correlation Functions 18. Time-dependent methods 19. Tangent-space operations 20. Tangent-space approaches 21. Tree Tensor Network States 22. Two-dimensional tensor network states 23. Coarse graining tensor renormalization Appendix A References Index.
Preface Abbreviations Unit used Notations and graphical representations 1. Introduction 2. Basic algebra of tensors 3. Tensor network representation of classical statistical methods 4. Tensor-network ansatz of wave functions 5. Criterion of truncation: symmetric systems 6. Real-space DMRG 7. Implementation of symmetries 8. DMRG with non-local basis states 9. Matrix Product States 10. Infinite Matrix Product States 11. Determination of MPS 12. Continuous Matrix Product States 13. Classical Transfer Matrix Renormalization 14. Criterion of truncation: non-symmetric systems 15. Renormalization of quantum transfer matrices 16. MPS solution of QTMRG 17. Dynamical Correlation Functions 18. Time-dependent methods 19. Tangent-space operations 20. Tangent-space approaches 21. Tree Tensor Network States 22. Two-dimensional tensor network states 23. Coarse graining tensor renormalization Appendix A References Index.
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