0
Your cart

Your cart is empty

Books > Computing & IT > Computer hardware & operating systems > Mainframes & minicomputers

Buy Now

Group Representation for Quantum Theory (Paperback, Softcover reprint of the original 1st ed. 2017) Loot Price: R4,595
Discovery Miles 45 950
Group Representation for Quantum Theory (Paperback, Softcover reprint of the original 1st ed. 2017): Masahito Hayashi

Group Representation for Quantum Theory (Paperback, Softcover reprint of the original 1st ed. 2017)

Masahito Hayashi

 (sign in to rate)
Loot Price R4,595 Discovery Miles 45 950 | Repayment Terms: R431 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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.

General

Imprint: Springer International Publishing AG
Country of origin: Switzerland
Release date: September 2018
First published: 2017
Authors: Masahito Hayashi
Dimensions: 235 x 155 x 19mm (L x W x T)
Format: Paperback
Pages: 338
Edition: Softcover reprint of the original 1st ed. 2017
ISBN-13: 978-3-319-83159-6
Languages: English
Subtitles: Japanese
Categories: Books > Computing & IT > General theory of computing > General
Books > Computing & IT > Computer hardware & operating systems > Mainframes & minicomputers
Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
Promotions
LSN: 3-319-83159-3
Barcode: 9783319831596

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Raspberry Pi - Raspberry Pi programming…
Craig Newport Hardcover R630 R566 Discovery Miles 5 660
8051/8052 Microcontroller…
Craig Steiner Hardcover R2,457 Discovery Miles 24 570
New Data Structures and Algorithms for…
Luca Gaetano Amaru Hardcover R3,868 R1,960 Discovery Miles 19 600
Hardware Protection through Obfuscation
Domenic Forte, Swarup Bhunia, … Hardcover R4,809 Discovery Miles 48 090
Raspberry Pi 3 - A Practical Beginner's…
Finn Sanders Hardcover R697 R622 Discovery Miles 6 220
Foundations of Hardware IP Protection
Lilian Bossuet, Lionel Torres Hardcover R3,834 Discovery Miles 38 340
Arduino - The Ultimate Guide to Arduino…
Tim Warren Hardcover R626 R562 Discovery Miles 5 620
Modeling, Simulation, And Control Of…
Kurapati Venkatesh, MengChu Zhou Hardcover R3,169 Discovery Miles 31 690
Computer System Design: System-on-Chip
M. J Flynn Hardcover R2,374 Discovery Miles 23 740
Simulation and Optimization of Digital…
Vazgen Melikyan Paperback R3,821 Discovery Miles 38 210
Automatic Analog IC Sizing and…
Nuno Lourenco, Ricardo Martins, … Paperback R3,020 Discovery Miles 30 200
New Data Structures and Algorithms for…
Luca Gaetano Amaru Paperback R1,597 Discovery Miles 15 970

See more

Partners