an:01412063
Zbl 0941.81022
Fern??ndez C., D. J.; Hussin, V.; Mielnik, B.
A simple generation of exactly solvable anharmonic oscillators
EN
Phys. Lett., A 244, No. 5, 309-316 (1998).
00064285
1998
j
81Q05
finite difference algorithm; Darboux method; anharmonic potentials; SUSY partner; Hamiltonian; oscillator potential
Summary: An elementary finite difference algorithm shortens the Darboux method, permitting an easy generation of families of anharmonic potentials almost isospectral to the harmonic oscillator. Against common belief, it is possible to associate a SUSY partner to a given Hamiltonian \(H\) using a factorization energy greater than the ground state energy of \(H\). The explicit 3-SUSY partners of the oscillator potential are found and discussed.