English

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

High Energy Physics - Theory 2009-03-24 v2

Abstract

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

Keywords

Cite

@article{arxiv.hep-th/0608041,
  title  = {Shape Invariant Potential and Semi-Unitary Transformations (SUT) for Supersymmetric Harmonic Oscillator in T4-Space},
  author = {P. S. Bisht and O. P. S. Negi},
  journal= {arXiv preprint arXiv:hep-th/0608041},
  year   = {2009}
}