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The book also highlights the usefulness of the so-called thermodynamic limit of quantum spin systems, which is the limit of infinite system size. For example, this makes it possible to clearly distinguish between local and global properties, without having to keep track of the system size. Together with Lieb-Robinson bounds, which play a similar role in quantum spin systems to that of the speed of light in relativistic theories, this approach allowsideas from relativistic field theories to be implemented in a quantum spin system. Several related cases are discussed, demonstrating the merits of the operator algebraic approach.
Featuring representative worked-out examples and many exercises, this text is primarily targeted at graduate students and advanced undergraduates in theoretical physics or mathematics with a keen interest in mathematical physics. The material provides the necessary background and pointers to start exploring the recent literature. As such, it will also be useful for active researchers seeking a quick and comparatively self-contained introduction to the operator algebraic approach to quantum spin systems.
The book also highlights the usefulness of the so-called thermodynamic limit of quantum spin systems, which is the limit of infinite system size. For example, this makes it possible to clearly distinguish between local and global properties, without having to keep track of the system size. Together with Lieb-Robinson bounds, which play a similar role in quantum spin systems to that of the speed of light in relativistic theories, this approach allowsideas from relativistic field theories to be implemented in a quantum spin system. Several related cases are discussed, demonstrating the merits of the operator algebraic approach.
Featuring representative worked-out examples and many exercises, this text is primarily targeted at graduate students and advanced undergraduates in theoretical physics or mathematics with a keen interest in mathematical physics. The material provides the necessary background and pointers to start exploring the recent literature. As such, it will also be useful for active researchers seeking a quick and comparatively self-contained introduction to the operator algebraic approach to quantum spin systems.
Tutorially exposes an approach only treated in advanced monographs not very accessible to beginners
Suitable both as textbook and as self-study guide
Course-based primer which allows for entering the field quickly and efficiently
Introduction.- Operator algebras.- Infinite systems.- Lieb-Robinson bounds.- Local Quantum Physics.- Applications of Lieb-Robinson bounds.- Index.
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Theoretische Physik |
| Genre: | Physik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 192 |
| Reihe: | Lecture Notes in Physics |
| Inhalt: |
xi
177 S. 5 s/w Illustr. 1 farbige Illustr. 177 p. 6 illus. 1 illus. in color. |
| ISBN-13: | 9783319514567 |
| ISBN-10: | 3319514563 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Naaijkens, Pieter |
| Auflage: | 1st ed. 2017 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Lecture Notes in Physics |
| Maße: | 235 x 155 x 11 mm |
| Von/Mit: | Pieter Naaijkens |
| Erscheinungsdatum: | 21.03.2017 |
| Gewicht: | 0,3 kg |
Tutorially exposes an approach only treated in advanced monographs not very accessible to beginners
Suitable both as textbook and as self-study guide
Course-based primer which allows for entering the field quickly and efficiently
Introduction.- Operator algebras.- Infinite systems.- Lieb-Robinson bounds.- Local Quantum Physics.- Applications of Lieb-Robinson bounds.- Index.
| Erscheinungsjahr: | 2017 |
|---|---|
| Fachbereich: | Theoretische Physik |
| Genre: | Physik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 192 |
| Reihe: | Lecture Notes in Physics |
| Inhalt: |
xi
177 S. 5 s/w Illustr. 1 farbige Illustr. 177 p. 6 illus. 1 illus. in color. |
| ISBN-13: | 9783319514567 |
| ISBN-10: | 3319514563 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Naaijkens, Pieter |
| Auflage: | 1st ed. 2017 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Lecture Notes in Physics |
| Maße: | 235 x 155 x 11 mm |
| Von/Mit: | Pieter Naaijkens |
| Erscheinungsdatum: | 21.03.2017 |
| Gewicht: | 0,3 kg |
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