# Shape Invariant Potential and Semi-Unitary Transformations (SUT) for Supersymmetry Harmonic Oscillator in T4-Space

@article{Bisht2006ShapeIP, title={Shape Invariant Potential and Semi-Unitary Transformations (SUT) for Supersymmetry Harmonic Oscillator in T4-Space}, author={P. S. Bisht and O. P. S. Negi}, journal={International Journal of Theoretical Physics}, year={2006}, volume={48}, pages={986-993} }

Constructing the Semi-Unitary Transformations (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 T4-space while its eigen functions constitute a complete orthonormal basis in a subspace of full Hilbert space.

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