@article{Calculation of state energy of (2n+ 1)-fold wells using the spectral properties of supersymmetry shape-invariant potential_2023, volume={7}, url={https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/calculation-of-state-energy-of-2n-1-fold-wells-using-the-spectral-properties-of-supersymmetry-shape-invariant-potential/}, DOI={10.1186/2251-7235-7-10}, abstractNote={AbstractShape invariance is an important factor of many exactly solvable quantum mechanics. Several examples of shape-invariant ‘discrete quantum mechanical systems’ are introduced and discussed in some detail. We present the spectral properties of supersymmetric shape-invariant potentials (SIP). Here we are interested in some time-independent integrable systems which are exactly solvable owing to the existence of supersymmetric shape-invariant symmetry. In 1981 Witten proposed (0+1)-dimensional limit of supersymmetry (SUSY) quantum field theory, where the supercharges of SUSY quantum mechanics generate transformation between two orthogonal eigenstates of a given Hamiltonian wit degenerate eigenvaluesfor the non-SIP as very few lower eigenvalues can be known analytically, which are small to calculate spectral fluctuation.}, number={1}, journal={Journal of Theoretical and Applied Physics}, publisher={OICC Press}, year={2023}, month={Nov.}, keywords={Shape invariant potential, Spectral statistics, Supersymmetry, 11.30.Pb, Eigenfunction, Eigenspectra, Eigevalue, Potential wells} }