Shape Invariant Potential and Semi-Unitary Transformations (SUT) for   Supersymmetric Harmonic Oscillator in T4-Space
  Constructing the Semi - Unitary Transformation (SUT) to obtain the supersymmetric partner Hamiltonians for a one dimensional harmonic oscillator, it has been shown that under this transformation the supersymmetric partner loses its ground state in T^{4}- space while its eigen functions constitute a complete orthonormal basis in a subspace of full Hilbert space.   Keywords: Supersymmetry, Superluminal Transformations, Semi Unitary Transformations.   PACS No: 14.80Lv 
P. S. Bisht and O. P. S. Negi