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Shape Invariant Potential and Semi-Unitary Transformations (SUT) for Supersymmetry Harmonic Oscillator in T 4-Space

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Abstract

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 T 4-space while its eigen functions constitute a complete orthonormal basis in a subspace of full Hilbert space.

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Authors and Affiliations

  1. Department of Physics, Kumaun University, S.S.J. Campus, Almora, 263601, India

    P. S. Bisht & O. P. S. Negi

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  1. P. S. Bisht
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  2. O. P. S. Negi
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Correspondence to O. P. S. Negi.

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Bisht, P.S., Negi, O.P.S. Shape Invariant Potential and Semi-Unitary Transformations (SUT) for Supersymmetry Harmonic Oscillator in T 4-Space. Int J Theor Phys 48, 986–993 (2009). https://doi.org/10.1007/s10773-008-9872-1

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  • DOI: https://doi.org/10.1007/s10773-008-9872-1

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