This chapter introduces the basic ideas of P T-symmetric systems. It begins with a brief
discussion of closed (isolated) and open (non-isolated) systems and explains that P T …

We construct two new exactly solvable potentials giving rise to bound-state solutions to the
Schrödinger equation, which can be written in terms of the recently introduced Laguerre-or …

We show that there exist some intimate connections between three unconventional
Schrödinger equations based on the use of deformed canonical commutation relations, of a …

Given a spatially dependent mass distribution, we obtain potential functions for exactly
solvable nonrelativistic problems. The energy spectrum of the bound states and their wave …

A systematic procedure to study one-dimensional Schrödinger equation with a position-
dependent effective mass (PDEM) in the kinetic energy operator is explored. The …

An effective approach for solving the three-dimensional Dirac equation for spherically
symmetric local interactions, which we have introduced recently, is reviewed and …

We lift the constraint of a diagonal representation of the Hamiltonian by searching for square
integrable bases that support an infinite tridiagonal matrix representation of the wave …

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 …

We study a wide class of solvable symmetric potentials in order to identify conditions under
which these potentials have regular solutions with complex energy. Besides confirming …

The paper reveals some remarkable form-invariance features of the 'Jacobi-
reference'canonical Sturm–Liouville equation (CSLE) in the particular case of the density …