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PHYSICS THROUGH SYMMETRIES
By S G Rajeev
0 - Default Title
Description
This book is an introduction to group theoretical ideas that arising in classical or quantum mechanics as well as Gield theory. The emphasis is on concepts, although some calculations are done in detail. The intended audience is a graduate student who has already learned mechanics, quantum mechanics as well as some Gield theory (e.g., Maxwell equations in their relativistic form).
Among the topics covered are the rotation group and its representations; group extensions and their relevance to spinors; the Lorentz group and relativistic wave equations; the gaussian unitary ensemble of random matrices; the quark model; the Peter-Weyl theorem for Ginite groups as well as compact Lie groups.
There are hints that future physics will need symmetries that go beyond the idea of a group. An introduction to such "quantum groups" is included as well.
The book concludes with a study of a class of mechanical systems (Euler-Arnold) which include the rigid body and the ideal Gluids as examples. Some toy models that are one step away from being exactly solvable are studied as examples of chaos.
Product details
Number of Pages:
334
Release Date:
2025-09-01
Publication Date:
2025-08-11
Publisher:
World Scientific
Languages:
Original:
English
ISBN10:
9819812887
ISBN13:
9789819812882
Weight:
636 g
Height:
157 cm
Width:
235 cm
Thickness:
23 cm
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