Abstract
In this article we study the enumeration of number (denoted as ${D}_{I}$) of spin I states for fermions in a single-j shell and bosons with spin l. We show that ${D}_{I}$ can be enumerated by the reduction from SU$(n+1)$ to SO(3). New regularities of ${D}_{I}$ are discerned. As an example of our new algorithm, we obtained analytical expressions of ${D}_{I}$ for four particles.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
