TITLE:
Generalization of Spin Operators
AUTHORS:
Moeen Kh. Srour, Munther T. Al-Mokayed, Abdalkarim N. Sahmoud, Mahmoud A. A. Sbaih
KEYWORDS:
Group Generators, Spin Operators
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.1,
January
21,
2022
ABSTRACT: The study shall look to the group of generators SU(4). From these generators, a new group spin operator will be constructed. We will classify these groups into right handed groups and left handed groups. These two groups will satisfy all the properties of Pauli spin operators Sx, Sy and Sz with respect to the frame xyz. The analysis shows that the number of groups spin operators depends on the order of the group. This leads us to construct the theorem which defines the number of the groups spin operators. The analysis also leads to two kinds of frames: left handed frame (LHF) and right handed frame (RHF). The right handed operators will act on the RHF, and left hand operators act on the LHF. The study shall discuss the notion of spin squeezing for pure spin 3/2 system by using our new frames and new spin operators. It will show that our calculation is equivalent to the calculation by using Pauli spin operators.