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

Inequivalent representations of cano...

Arai, Asao.

Linked to FindBook

Google Book

Amazon

博客來

Inequivalent representations of canonical commutation and anti-commutation relations = representation-theoretical viewpoint for quantum phenomena /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Inequivalent representations of canonical commutation and anti-commutation relations/ by Asao Arai.
Reminder of title:	representation-theoretical viewpoint for quantum phenomena /
Author:	Arai, Asao.
Published:	Singapore :Springer Singapore : : 2020.,
Description:	xix, 493 p. :ill., digital ;24 cm.
[NT 15003449]:	Mathematical Preliminaries -- Representations of Canonical Commutation Relations with Finite -- Aharonov-Bohm Effect and Inequivalent Representations of CCR -- Time Operators -- Representations of Canonical Anti-commutation Relations with Finite Degrees of Freedom -- Elements of the Theory of Boson Fock Spaces -- Elements of the Theory of Fermion Fock Spaces -- Representations of CCR with Infinite Degrees of Freedom -- Representations of CAR with Infinite Degrees of Freedom -- Physical Correspondences in Quantum Field Theory.
Contained By:	Springer eBooks
Subject:	Commutation relations (Quantum mechanics) -
Online resource:	https://doi.org/10.1007/978-981-15-2180-5
ISBN:	9789811521805

Inequivalent representations of canonical commutation and anti-commutation relations = representation-theoretical viewpoint for quantum phenomena /
Arai, Asao.

Inequivalent representations of canonical commutation and anti-commutation relationsrepresentation-theoretical viewpoint for quantum phenomena /[electronic resource] :by Asao Arai. - Singapore :Springer Singapore :2020. - xix, 493 p. :ill., digital ;24 cm. - Mathematical physics studies,0921-3767. - Mathematical physics studies..

Mathematical Preliminaries -- Representations of Canonical Commutation Relations with Finite -- Aharonov-Bohm Effect and Inequivalent Representations of CCR -- Time Operators -- Representations of Canonical Anti-commutation Relations with Finite Degrees of Freedom -- Elements of the Theory of Boson Fock Spaces -- Elements of the Theory of Fermion Fock Spaces -- Representations of CCR with Infinite Degrees of Freedom -- Representations of CAR with Infinite Degrees of Freedom -- Physical Correspondences in Quantum Field Theory.

Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation-theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emphases are put on the importance of inequivalent representations of CCR or CAR, which may be related to characteristic physical phenomena. The topics presented include general theories of representations of CCR and CAR with finite and infinite degrees of freedom, the Aharonov-Bohm effect, time operators, quantum field theories based on Fock spaces, Bogoliubov transformations, and relations of infinite renormalizations with inequivalent representations of CCR. This book can be used as a text for an advanced topics course in mathematical physics or mathematics.

ISBN: 9789811521805

Standard No.: 10.1007/978-981-15-2180-5doiSubjects--Topical Terms:

888816
Commutation relations (Quantum mechanics)

LC Class. No.: QA251.3 / .A735 2020

Dewey Class. No.: 512.44

Inequivalent representations of canonical commutation and anti-commutation relations = representation-theoretical viewpoint for quantum phenomena /
LDR:02815nmm a2200337 a 4500 001 2216456
003 DE-He213
005 20200721134446.0
006 m d
007 cr nn 008maaau
008 201120s2020 si s 0 eng d
020 $a 9789811521805 $q (electronic bk.)
020 $a 9789811521799 $q (paper)
024 7 $a 10.1007/978-981-15-2180-5 $2 doi
035 $a 978-981-15-2180-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA251.3 $b .A735 2020
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 512.44 $2 23
090 $a QA251.3 $b .A659 2020
100 1 $a Arai, Asao. $3 3448806
245 1 0 $a Inequivalent representations of canonical commutation and anti-commutation relations $h [electronic resource] : $b representation-theoretical viewpoint for quantum phenomena / $c by Asao Arai.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xix, 493 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical physics studies, $x 0921-3767
505 0 $a Mathematical Preliminaries -- Representations of Canonical Commutation Relations with Finite -- Aharonov-Bohm Effect and Inequivalent Representations of CCR -- Time Operators -- Representations of Canonical Anti-commutation Relations with Finite Degrees of Freedom -- Elements of the Theory of Boson Fock Spaces -- Elements of the Theory of Fermion Fock Spaces -- Representations of CCR with Infinite Degrees of Freedom -- Representations of CAR with Infinite Degrees of Freedom -- Physical Correspondences in Quantum Field Theory.
520 $a Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation-theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emphases are put on the importance of inequivalent representations of CCR or CAR, which may be related to characteristic physical phenomena. The topics presented include general theories of representations of CCR and CAR with finite and infinite degrees of freedom, the Aharonov-Bohm effect, time operators, quantum field theories based on Fock spaces, Bogoliubov transformations, and relations of infinite renormalizations with inequivalent representations of CCR. This book can be used as a text for an advanced topics course in mathematical physics or mathematics.
650 0 $a Commutation relations (Quantum mechanics) $3 888816
650 0 $a Quantum theory. $3 516552
650 1 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Functional Analysis. $3 893943
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Mathematical physics studies. $3 2072974
856 4 0 $u https://doi.org/10.1007/978-981-15-2180-5
950 $a Mathematics and Statistics (Springer-11649)