語系:
繁體中文
English
說明(常見問題)
圖資館首頁
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Group representation for quantum theory
~
Hayashi, Masahito.
Group representation for quantum theory
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Group representation for quantum theoryby Masahito Hayashi.
作者:
Hayashi, Masahito.
出版者:
Cham :Springer International Publishing :2017.
面頁冊數:
xxviii, 338 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
標題:
Representations of groups.
電子資源:
http://dx.doi.org/10.1007/978-3-319-44906-7
ISBN:
9783319449067$q(electronic bk.)
Group representation for quantum theory
Hayashi, Masahito.
Group representation for quantum theory
[electronic resource] /by Masahito Hayashi. - Cham :Springer International Publishing :2017. - xxviii, 338 p. :ill., digital ;24 cm.
Foundation of Quantum Theory -- Group Representation -- Representations of Lie Group and Lie Algebra (Basics) -- Representations of Lie Group and Lie Algebra (Special Case) -- Representations of Lie Group and Lie Algebra (General Case) -- Bosonic System -- Discretization of Bosonic System.
This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory. Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d) After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R) Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions.
ISBN: 9783319449067$q(electronic bk.)
Standard No.: 10.1007/978-3-319-44906-7doiSubjects--Topical Terms:
191076
Representations of groups.
LC Class. No.: QA174.2
Dewey Class. No.: 512.22
Group representation for quantum theory
LDR
:03739nmm a2200313 a 4500
001
505884
003
DE-He213
005
20161118105224.0
006
m d
007
cr nn 008maaau
008
171030s2017 gw s 0 eng d
020
$a
9783319449067$q(electronic bk.)
020
$a
9783319449043$q(paper)
024
7
$a
10.1007/978-3-319-44906-7
$2
doi
035
$a
978-3-319-44906-7
040
$a
GP
$c
GP
041
1
$a
eng
$h
jpn
050
4
$a
QA174.2
072
7
$a
PHQ
$2
bicssc
072
7
$a
SCI057000
$2
bisacsh
082
0 4
$a
512.22
$2
23
090
$a
QA174.2
$b
.H413 2017
100
1
$a
Hayashi, Masahito.
$3
262298
245
1 0
$a
Group representation for quantum theory
$h
[electronic resource] /
$c
by Masahito Hayashi.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2017.
300
$a
xxviii, 338 p. :
$b
ill., digital ;
$c
24 cm.
505
0
$a
Foundation of Quantum Theory -- Group Representation -- Representations of Lie Group and Lie Algebra (Basics) -- Representations of Lie Group and Lie Algebra (Special Case) -- Representations of Lie Group and Lie Algebra (General Case) -- Bosonic System -- Discretization of Bosonic System.
520
$a
This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory. Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d) After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R) Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions.
650
0
$a
Representations of groups.
$3
191076
650
0
$a
Quantum theory.
$3
199020
650
1 4
$a
Physics.
$3
179414
650
2 4
$a
Quantum Physics.
$3
275010
650
2 4
$a
Group Theory and Generalizations.
$3
274819
650
2 4
$a
Quantum Information Technology, Spintronics.
$3
379903
650
2 4
$a
Quantum Computing.
$3
573152
650
2 4
$a
Mathematical Physics.
$3
522725
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer eBooks
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-44906-7
950
$a
Physics and Astronomy (Springer-11651)
筆 0 讀者評論
全部
電子館藏
館藏
1 筆 • 頁數 1 •
1
條碼號
館藏地
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
000000136819
電子館藏
1圖書
電子書
EB QA174.2 H413 2017
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
多媒體檔案
http://dx.doi.org/10.1007/978-3-319-44906-7
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入