New exactly solvable isospectral partners for symmetric potentials
New exactly solvable isospectral partners for symmetric potentials
We examine, in detail, the possibility of applying the Darboux transformation to non-Hermitian Hamiltonians. In particular we propose a simple method of constructing exactly solvable symmetric potentials by applying Darboux transformation to higher states of an exactly solvable symmetric potential. It is shown that the resulting Hamiltonian and the original …