Electronic Resource
Springer
Czechoslovak journal of physics
23 (1973), S. 1149-1158
ISSN:
1572-9486
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The problem of determining the representation matrices of SU(4) is investigated. A convenient set of parameters is first introduced by writing the general element of the group as a product of exponential functions of the generators, and the generators are expressed as differential operators involving these parameters. Special matrix elements of finite transformations with a SU(3) singlet as the initial state are then obtained by solving the eigenvalue equation of the quadratic Casimir operator of SU(4). The solution has the form of a product of elementary functions and threed m′m j functions of SU(2) and is free from summation over intermediate states. By expanding one of thed m′m j functions in an appropriate series a sum rule for the special matrix elements of the permutation operator 1234→3412 is obtained. The discussions are strictly confined to SU(4), but, some of the results given here can be extended to unitary groups of higher dimensions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01591196
|
Location |
Call Number |
Expected |
Availability |
