2002/12/02 by Wei Min Yang, Si Cong Jing
Physics and Astronomy · Mathematics · #math-ph #math.MP
published as Mod.Phys.Lett.A16,15(2001)
arxiv created 2002/12/02 · arxiv updated 2009/11/30
Structure of the state-vector space for a system consisting of one mode parabose and one mode parafermi degree of freedom with the same parastatistics order p is studied and a complete, orthonormal set of basis vectors in this space is constructed. There is an intrinsic double degeneracy for state vectors with m parabosons and n parafermions, where m \not= 0, n \not= 0, and n \not= p. It is also shown that the degeneracy plays a key role in realization of exact supersymmetry for such a system.