TY - EJOUR
PY - 2023
DA - November
TI - Calculation of state energy of (2n+ 1)-fold wells using the spectral properties of supersymmetry shape-invariant potential
T2 - Journal of Theoretical and Applied Physics
VL - 7
L1 - 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/
DO - 10.1186/2251-7235-7-10
N2 - 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.
IS - 1
PB - OICC Press
KW - Eigenspectra, Eigevalue, Potential wells, Shape invariant potential, Spectral statistics, Supersymmetry, 11.30.Pb, Eigenfunction 
EN -