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Group Representation for Quantum Theory [Repost]
![Group Representation for Quantum Theory [Repost]](https://pixhost.icu/avaxhome/34/d7/0051d734.jpg)
Group Representation for Quantum Theory by Masahito Hayashi
English | 1 Dec. 2016 | ISBN: 3319449044 | 368 Pages | PDF | 5.45 MB
English | 1 Dec. 2016 | ISBN: 3319449044 | 368 Pages | PDF | 5.45 MB
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.