- Paperback: 176 pages
- Publisher: Dover Publications Inc.; New edition edition (28 Mar 2003)
- Language English
- ISBN-10: 0486640701
- ISBN-13: 978-0486640709
- Product Dimensions: 20.8 x 14.3 x 1.9 cm
- Amazon Bestsellers Rank: 947,737 in Books (See Top 100 in Books)
| ||||||||||||||||||||||||
 Trade In this Item for up to £0.25
Get an extra £5 when you trade in books worth £10 or more until June 30, 2012. Trade in The Theory of Spinors (Dover Books on Mathematics) for an Amazon.co.uk gift card of up to £0.25, which you can then spend on millions of items across the site. Trade-in values may vary (terms apply). Find more products eligible for trade-in.
|
Product details |
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organise and find favourite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Reviews
There are no customer reviews yet on Amazon.co.uk.
5 star
4 star
3 star
2 star
1 star
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
5 reviews
43 of 45 people found the following review helpful
Review of theory of spinors
11 Jan 2000
Format:Paperback
This is an excellent introductory book on spinors, the basic mathematical object used to represent particles with spin.
The author begins by defining the spinor as a form of a square root of a 3 dimensional null vector. Scalars, vectors and tensors are then described by their properties under simple geometrical transformations such as reflection and rotation. The author then represents vectors as 2x2 matrices. The transformational properties of spinors are defined by their relation to vectors and tensors under these same simple transformations. The author then shows how spinors are useful for finding the irreducible representations of the rotation group. These concepts are then extended to higher dimensional spinors. Specific applications are shown for Laplace's equation, the Dirac equation and to general relativity.
The is an introductory, inexpensive, brief and easy to read book. The book also covers a fair amount of ground. It is an excellent first book for the subject. It does not contain modern developments in the field or some elements of the current notational system for representing spinors. Yet, for me it was the first book that gave me a sense of really understanding the significance of the Dirac equation and quantum physic's concept of spin.
9 of 9 people found the following review helpful
translated from French
13 Sep 2009
Format:Paperback
We have Weyl, Pauli, Dirac and Cartan to thank for our modern
theory of groups in physics. This book published in 1937
has none of the later Lie algebra representations of the Cartan generalization of groups
and thus, like Weyl's similar book may deceive the reader into thinking
he understands when he has only a rough and not very even
introduction to these groups. This book doesn't reach much higher than SU(2),
SO(3) and the Dirac U(1)*SU(2)*SU(2).
The standard model of physics deals with the symmetry breaking of SU(5)
( the Cartan A_4 group) to U(1)*SU(2)*SU(3). The Lie algebras and
irreducible Cartan representations of such higher symmetries
will demand the student read further than this text.
So this book is an historical introduction that gives the starting basis
for the mathematics needed by modern students in physics and chemistry.
theory of groups in physics. This book published in 1937
has none of the later Lie algebra representations of the Cartan generalization of groups
and thus, like Weyl's similar book may deceive the reader into thinking
he understands when he has only a rough and not very even
introduction to these groups. This book doesn't reach much higher than SU(2),
SO(3) and the Dirac U(1)*SU(2)*SU(2).
The standard model of physics deals with the symmetry breaking of SU(5)
( the Cartan A_4 group) to U(1)*SU(2)*SU(3). The Lie algebras and
irreducible Cartan representations of such higher symmetries
will demand the student read further than this text.
So this book is an historical introduction that gives the starting basis
for the mathematics needed by modern students in physics and chemistry.
11 of 12 people found the following review helpful
Review of theory of spinors
11 Jan 2000
Format:Paperback
This is an excellent introductory book on spinors, the basic mathematical object used to represent particles with spin.
The author begins by defining the spinor as a form of a square root of a 3 dimensional null vector. Scalars, vectors and tensors are then described by their properties under simple geometrical transformations such as reflection and rotation. The author then represents vectors as 2x2 matrices. The transformational properties of spinors are defined by their relation to vectors and tensors under these same simple transformations. The author then shows how spinors are useful for finding the irreducible representations of the rotation group. These concepts are then extended to higher dimensional spinors. Specific applications are shown for Laplace's equation, the Dirac equation and to general relativity.
The is an introductory, inexpensive, brief and easy to read book. The book also covers a fair amount of ground. It is an excellent first book for the subject. It does not contain modern developments in the field or some elements of the current notational system for representing spinors. Yet, for me it was the first book that gave me a sense of really understanding the significance of the Dirac equation and quantum physic's concept of spin.
Were these reviews helpful?
Let us know
Listmania!
Look for similar items by category
Look for similar items by subject
Feedback
- Would you like to update product info or give feedback on images?
- I am the Author, and I want to comment on my book.
- I am the Publisher, and I want to comment on this book.
|
