東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Quantum spin systems on infinite lat...

Naaijkens, Pieter.

Linked to FindBook

Google Book

Amazon

博客來

Quantum spin systems on infinite lattices = a concise introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum spin systems on infinite lattices/ by Pieter Naaijkens.
Reminder of title:	a concise introduction /
Author:	Naaijkens, Pieter.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xi, 177 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Operator algebras -- Infinite systems -- Lieb-Robinson bounds -- Local Quantum Physics -- Applications of Lieb-Robinson bounds -- Index.
Contained By:	Springer eBooks
Subject:	Quantum theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-51458-1
ISBN:	9783319514581

Quantum spin systems on infinite lattices = a concise introduction /
Naaijkens, Pieter.

Quantum spin systems on infinite latticesa concise introduction /[electronic resource] :by Pieter Naaijkens. - Cham :Springer International Publishing :2017. - xi, 177 p. :ill., digital ;24 cm. - Lecture notes in physics,v.9330075-8450 ;. - Lecture notes in physics ;v.933..

Introduction -- Operator algebras -- Infinite systems -- Lieb-Robinson bounds -- Local Quantum Physics -- Applications of Lieb-Robinson bounds -- Index.

This course-based primer offers readers a concise introduction to the description of quantum mechanical systems with infinitely many degrees of freedom - and quantum spin systems in particular - using the operator algebraic approach. Here, the observables are modeled using elements of some operator algebra, usually a C*-algebra. This text introduces readers to the framework and the necessary mathematical tools without assuming much mathematical background, making it more accessible than advanced monographs. 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 allows ideas 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.

ISBN: 9783319514581

Standard No.: 10.1007/978-3-319-51458-1doiSubjects--Topical Terms:

516552
Quantum theory.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

Quantum spin systems on infinite lattices = a concise introduction /
LDR:02816nmm a2200325 a 4500 001 2093113
003 DE-He213
005 20170320145739.0
006 m d
007 cr nn 008maaau
008 171117s2017 gw s 0 eng d
020 $a 9783319514581 $q (electronic bk.)
020 $a 9783319514567 $q (paper)
024 7 $a 10.1007/978-3-319-51458-1 $2 doi
035 $a 978-3-319-51458-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.12
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
082 0 4 $a 530.12 $2 23
090 $a QC174.12 $b .N111 2017
100 1 $a Naaijkens, Pieter. $3 3227655
245 1 0 $a Quantum spin systems on infinite lattices $h [electronic resource] : $b a concise introduction / $c by Pieter Naaijkens.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xi, 177 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 0075-8450 ; $v v.933
505 0 $a Introduction -- Operator algebras -- Infinite systems -- Lieb-Robinson bounds -- Local Quantum Physics -- Applications of Lieb-Robinson bounds -- Index.
520 $a This course-based primer offers readers a concise introduction to the description of quantum mechanical systems with infinitely many degrees of freedom - and quantum spin systems in particular - using the operator algebraic approach. Here, the observables are modeled using elements of some operator algebra, usually a C*-algebra. This text introduces readers to the framework and the necessary mathematical tools without assuming much mathematical background, making it more accessible than advanced monographs. 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 allows ideas 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.
650 0 $a Quantum theory. $3 516552
650 0 $a Lattice theory. $3 532024
650 0 $a Mathematical physics. $3 516853
650 1 4 $a Physics. $3 516296
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in physics ; $v v.933. $3 3227656
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-51458-1
950 $a Physics and Astronomy (Springer-11651)