کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1860816 | 1037459 | 2009 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Comprehensive theory for reduction of products of spin operators Comprehensive theory for reduction of products of spin operators](/preview/png/1860816.png)
We present a comprehensive theory that reduces the total power of products of spin operators. This theory improves the previous one [P.J. Jensen, F. Aguilera-Granja, Phys. Lett. A 269 (2000) 158] in two aspects. One is that for the set of spin operators S+S+, S−S−, SzSz, a new method is suggested where the expansion coefficients in the reduction formula can be solved from linear equations. This new method is of direct physical meaning and is easier to handle. The other is that we show a method to reduce the products of another set of spin operators SxSx, SySy, SzSz. For this set of operators, the use of permutation regulation of x→yx→y, y→zy→z and z→xz→x can save much time in obtaining some reduction formula. The present comprehensive theory enables one to deal more easily with the decoupling problems in Green' function theory where the set of either S+S+, S−S−, SzSz or SxSx, SySy, SzSz operators is used.
Journal: Physics Letters A - Volume 373, Issue 37, 7 September 2009, Pages 3374–3380