Extending the supersymmetric method proposed by Tkachuk to the complex domain, we obtain general expressions for superpotentials allowing generation of quasiexactly solvable PT-symmetric potentialsâ€¦ (More)

The family of complex PT-symmetric sextic potentials is studied to show that for various cases the system is essentially quasi-solvable and possesses real, discrete energy eigenvalues. For aâ€¦ (More)

Known shape-invariant potentials for the constant-mass SchrÃ¶dinger equation are taken as effective potentials in a position-dependent effective mass (PDEM) one. The corresponding shape-invarianceâ€¦ (More)

We exploit the hidden symmetry structure of a recently proposed non-Hermitian Hamiltonian and of its Hermitian equivalent one. This sheds new light on the pseudoHermitian character of the former andâ€¦ (More)

A systematic procedure to study one-dimensional SchrÃ¶dinger equation with a position-dependent effective mass (PDEM) in the kinetic energy operator is explored. The conventional free-particle problemâ€¦ (More)

We discuss several PT -symmetric deformations of superderivatives. Based on these various possibilities, we propose new families of complex PT -symmetric deformations of the supersymmetricâ€¦ (More)

A one-dimensional SchrÃ¶dinger equation with position-dependent effective mass in the kinetic energy operator is studied in the framework of an so(2, 1) algebra. New mass-deformed versions of Scarfâ€¦ (More)

We formulate a systematic algorithm for constructing a whole class of PT symmetric Hamiltonians which, to lowest order of perturbation theory, have a Hermitian analogue containing aâ€¦ (More)

By using the point canonical transformation approach in a manner distinct from previous ones, we generate some new exactly solvable or quasi-exactly solvable potentials for the one-dimensionalâ€¦ (More)