TY - JOUR
T1 - Irreducible bases and correlations of spin states for double point groups
AU - Dong, Shi Hai
AU - Hou, Xi Wen
AU - Ma, Zhong Qi
N1 - Funding Information:
The authors would like to thank Prof. Jin-Quan Chen for sending us his preprint (Chen and Fan, 1997) before publication. This work was supported by the National Natural Science Foundation of China and Grant No. LWTZ-1298 of Chinese Academy of Sciences.
PY - 1998/2
Y1 - 1998/2
N2 - In terms of the irreducible bases of the group space of the octahedral double group O′ an analytic formula is obtained to combine the spin states |j, μ〉 into the symmetrical adapted bases belonging to a given row of a given irreducible representation of O′. This method is effective for all double point groups. However, for the subgroups of O′ there is another way to obtain those combinations. As an example, the correlations of spin states for the tetrahedral double group T′ are calculated explicitly.
AB - In terms of the irreducible bases of the group space of the octahedral double group O′ an analytic formula is obtained to combine the spin states |j, μ〉 into the symmetrical adapted bases belonging to a given row of a given irreducible representation of O′. This method is effective for all double point groups. However, for the subgroups of O′ there is another way to obtain those combinations. As an example, the correlations of spin states for the tetrahedral double group T′ are calculated explicitly.
UR - http://www.scopus.com/inward/record.url?scp=0032382650&partnerID=8YFLogxK
U2 - 10.1023/A:1026624731172
DO - 10.1023/A:1026624731172
M3 - Artículo
SN - 0020-7748
VL - 37
SP - 841
EP - 855
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
IS - 2
ER -