東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Physics and mathematics of quantum m...

Tasaki, Hal.

FindBook

Google Book

Amazon

博客來

Physics and mathematics of quantum many-body systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Physics and mathematics of quantum many-body systems/ by Hal Tasaki.
作者:	Tasaki, Hal.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	xviii, 525 p. :ill., digital ;24 cm.
內容註:	Introduction -- Basics of quantum spin systems -- Long-range order and spontaneous symmetry breaking in the classical and quantum Ising models -- Long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model -- Long-range order and "spontaneous symmetry breaking" in Bose-Einstein condensates -- Affleck-Kennedy-Lieb-Tasaki model -- Haldane phase -- The origin of ferromagnetism -- Mathematical appendices -- Solutions -- Index.
Contained By:	Springer eBooks
標題:	Many-body problem. -
電子資源:	https://doi.org/10.1007/978-3-030-41265-4
ISBN:	9783030412654

Physics and mathematics of quantum many-body systems
Tasaki, Hal.

Physics and mathematics of quantum many-body systems[electronic resource] /by Hal Tasaki. - Cham :Springer International Publishing :2020. - xviii, 525 p. :ill., digital ;24 cm. - Graduate texts in physics,1868-4513. - Graduate texts in physics..

Introduction -- Basics of quantum spin systems -- Long-range order and spontaneous symmetry breaking in the classical and quantum Ising models -- Long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model -- Long-range order and "spontaneous symmetry breaking" in Bose-Einstein condensates -- Affleck-Kennedy-Lieb-Tasaki model -- Haldane phase -- The origin of ferromagnetism -- Mathematical appendices -- Solutions -- Index.

This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), the Haldane phenomenon in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III) Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book's main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.

ISBN: 9783030412654

Standard No.: 10.1007/978-3-030-41265-4doiSubjects--Topical Terms:

525019
Many-body problem.

LC Class. No.: QC174.17.P7 / T373 2020

Dewey Class. No.: 530.144

Physics and mathematics of quantum many-body systems
LDR:02912nmm a2200337 a 4500 001 2255439
003 DE-He213
005 20200507184301.0
006 m d
007 cr nn 008maaau
008 220419s2020 sz s 0 eng d
020 $a 9783030412654 $q (electronic bk.)
020 $a 9783030412647 $q (paper)
024 7 $a 10.1007/978-3-030-41265-4 $2 doi
035 $a 978-3-030-41265-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.17.P7 $b T373 2020
072 7 $a TJFD5 $2 bicssc
072 7 $a TEC039000 $2 bisacsh
072 7 $a TJFD $2 thema
082 0 4 $a 530.144 $2 23
090 $a QC174.17.P7 $b T197 2020
100 1 $a Tasaki, Hal. $3 3524995
245 1 0 $a Physics and mathematics of quantum many-body systems $h [electronic resource] / $c by Hal Tasaki.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xviii, 525 p. : $b ill., digital ; $c 24 cm.
490 1 $a Graduate texts in physics, $x 1868-4513
505 0 $a Introduction -- Basics of quantum spin systems -- Long-range order and spontaneous symmetry breaking in the classical and quantum Ising models -- Long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model -- Long-range order and "spontaneous symmetry breaking" in Bose-Einstein condensates -- Affleck-Kennedy-Lieb-Tasaki model -- Haldane phase -- The origin of ferromagnetism -- Mathematical appendices -- Solutions -- Index.
520 $a This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), the Haldane phenomenon in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III) Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book's main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.
650 0 $a Many-body problem. $3 525019
650 1 4 $a Strongly Correlated Systems, Superconductivity. $3 1067082
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Statistical Physics and Dynamical Systems. $3 3135115
650 2 4 $a Phase Transitions and Multiphase Systems. $3 1066389
650 2 4 $a Mathematical Methods in Physics. $3 890898
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Graduate texts in physics. $x 1868-4513. $3 1314540
856 4 0 $u https://doi.org/10.1007/978-3-030-41265-4
950 $a Physics and Astronomy (Springer-11651)