Abstract
The result of the representation theory of SO(n) is applied to the quantization of f para-Fermi oscillators, and it is shown that a special irreducible representation of SO(2f+1) is realized in the quantization of the field with order p when the condition of vacuum is used. The group theoretical meaning of the quantities such as vacuum, order p, and the space of the state in the para-Fermi quantization is made clear, and it is seen that the space of the state vectors corresponds to that of the single- or double-valued representations according to p even or odd.
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.
