Applied Group Theory by George H. Duffey

Author:George H. Duffey [George H. Duffey]
Language: eng
Format: epub
Publisher: Dover Publications, Inc.
Published: 2014-12-15T00:00:00+00:00

Let us suppose that A is not affected by operations of the group. Then the sum in the rth common eigenoperator has no effect:

Let a ket describing certain aspects of the system be

To |k>, we add mutually orthogonal similar kets until a complete basis is constructed. Operator A acting on |k> then produces a linear combination of kets from this complete set:

Multiplying equation (6.15) by bra <j|, with the vectors adjusted so that

makes

Expressions <j|A|k> may be arranged in a square array that combines with other such arrays as a matrix; so Ajk is called the jkth matrix element of A

Operating on equation (6.15) with the eigenoperator leads to

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.