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Cover: 9781009398701 | Density Matrix and Tensor Network Renormalization | Tao Xiang | Buch
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Density Matrix and Tensor Network Renormalization
Buch von Tao Xiang
Sprache: Englisch

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Beschreibung
This book provides a comprehensive introduction to the theory of tensor network renormalization for the first time. An accessible primer for scientists and engineers, this book would also be ideal as a reference text for a graduate course in this area.
This book provides a comprehensive introduction to the theory of tensor network renormalization for the first time. An accessible primer for scientists and engineers, this book would also be ideal as a reference text for a graduate course in this area.
Über den Autor
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2023
Fachbereich: Mechanik & Akustik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781009398701
ISBN-10: 1009398709
Sprache: Englisch
Einband: Gebunden
Autor: Xiang, Tao
Hersteller: Cambridge University Pr.
Verantwortliche Person für die EU: Produktsicherheitsverantwortliche/r, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Abbildungen: Worked examples or Exercises
Maße: 246 x 173 x 27 mm
Von/Mit: Tao Xiang
Erscheinungsdatum: 09.2023
Gewicht: 1,01 kg
Artikel-ID: 126828346
Über den Autor
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2023
Fachbereich: Mechanik & Akustik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9781009398701
ISBN-10: 1009398709
Sprache: Englisch
Einband: Gebunden
Autor: Xiang, Tao
Hersteller: Cambridge University Pr.
Verantwortliche Person für die EU: Produktsicherheitsverantwortliche/r, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Abbildungen: Worked examples or Exercises
Maße: 246 x 173 x 27 mm
Von/Mit: Tao Xiang
Erscheinungsdatum: 09.2023
Gewicht: 1,01 kg
Artikel-ID: 126828346
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