• 1
  • 2
  • 5
  • 6
  • 3
  • 4
IPM
30
YEARS OLD

“School of Physic”

Back to Papers Home
Back to Papers of School of Physic

Paper   IPM / Physic / 8399
School of Physics
  Title:   Beyond Unitary Parasupersymmetry from the Viewpoint of h3 and h4 Heisenberg Algebras
  Author(s): 
1.  A. Chenaghlou
2.  H. Fakhri
  Status:   Published
  Journal: Mod. Phys. Lett. A
  No.:  30
  Vol.:  20
  Year:  2006
  Pages:   2303-2312
  Supported by:  IPM
  Abstract:
Using the partition of the number p−1 into p−1 real parts which are not equal with each other necessarily, we develop the unitary parasupersymmetry algebra of arbitrary order p so that the well-known RubakovSpiridonovKhare parasupersymmetry becomes a special case of the developed one. It is shown that the developed algebra is realized by simple harmonic oscillator and Landau problem on a at surface with the symmetries of h3 and h4 HeisenbergLie algebras. For this new parasupersymmetry, the well-known unitary condition is violated, however, unitarity of the corresponding algebra is struc- turally conserved. Moreover, the components of the bosonic Hamiltonian operator are derived as functions from the mean value of the partition numbers with their label weight function.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right